Name Class Date. Given ABCD QRST, find corresponding parts using the names. Order matters.
|
|
- Chloe Foster
- 6 years ago
- Views:
Transcription
1 Name lass ate Reteaching ongruent igures RS, find corresponding parts using the names. Order matters. or example, RS or example, RS his shows that corresponds to. herefore,. his shows that corresponds to RS. herefore, RS. xercises ind corresponding parts using the order of the letters in the names. 1. Identify the remaining three pairs of corresponding angles and sides between and RS using the circle technique shown above. ngles: Sides: RS RS RS RS RS RS 2. Which pair of corresponding sides is hardest to identify using this technique? nswers may vary. Sample: and ind corresponding parts by redrawing figures. 3. he two congruent figures below at the left have been redrawn at the right. Why are the corresponding parts easier to identify in the drawing at the right? K K nswers may vary. Sample: he drawing at the right shows figures in same orientation. 4. Redraw the congruent polygons at the right in the same orientation. Identify all pairs of corresponding sides and angles. heck students work. j and j, j and j, j and jr, j and js, j and j, and, and R, and RS, and S, and and all correspond. S R 5. MNO RS. Identify all pairs of congruent M N R S sides and angles. O jm@j, jn@jr, jo@js, j@j, MN@R, NO@RS, O@S, and M@ opyright by earson ducation, Inc., or its affiliates. ll Rights Reserved.
2 Name lass ate Reteaching (continued) ongruent igures roblem, m = 30, and m = 65, what is m? ow might you solve this problem? Sketch both triangles, and put all the information on both diagrams m = 30; therefore, m = 30. ow do you know? ecause and are corresponding parts of congruent triangles. 30 xercises Work through the exercises below to solve the problem above. 6. What angle in has the same measure as? What is the measure of that angle? dd the information to your sketch of. j; ou know the measures of two angles in. ow can you find the measure of the third angle? nswers may vary. Sample: Use riangle ngle-sum hm. Set sum of all three angles equal to What is m? ow did you find your answer? 85; answers may vary. Sample: mj = 180 ( ) efore writing a proof, add the information implied by each given statement to your sketch. hen use your sketch to help you with xercises dd the information implied by each given statement. 9. : and are right angles. mj = mj = 90, # and # 10. : and. is a parallelogram because it has opposite sides that are congruent. 11. :. } 12. an you conclude that using the given information above? If so, how? es; use the hird ngles hm. 13. ow can you conclude that the third side of both triangles is congruent? he third side is shared by both triangles and is congruent by the Refl. rop. of ongruence. opyright by earson ducation, Inc., or its affiliates. ll Rights Reserved.
3 Name lass ate Reteaching riangle ongruence by SSS and SS ou can prove that triangles are congruent using the two postulates below. ostulate 4-1: Side-Side-Side (SSS) ostulate If all three sides of a triangle are congruent to all three sides of another triangle, then those two triangles are congruent. J K If JK, KL, and JL, then JKL. In a triangle, the angle formed by any two sides is called the included angle for those sides. L ostulate 4-2: Side-ngle-Side (SS) ostulate If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then those two triangles are congruent. R If, R, and, then R. is included by and R. is included by and. xercises 1. What other information do you need to prove R R by SS? by the Reflexive roperty of ongruence, R@R. It is given that jr@jr. hese are the included angles for the corresponding congruent sides. R 2. What other information do you need to prove by SS? xplain. j@j; hese are the included angles between the corresponding congruent sides. 3. eveloping roof opy and complete the flow proof. : M, J rove: J M J M J J M SS Vertical are. jm opyright by earson ducation, Inc., or its affiliates. ll Rights Reserved.
4 Name lass ate Reteaching (continued) riangle ongruence by SSS and SS Would you use SSS or SS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SS, write not enough information. xplain your answer J 6. M M Not enough information; two pairs of corresponding Not enough Not enough information; only sides are congruent, but the information; you two pairs of corresponding congruent angles are not the need to know if sides are congruent. ou need included to know or j@j. 7. : O SO, O is the 8. : I, #I midpoint of N. rove: NO OS N O Statements: 1) O@SO; 2) O is the midpoint of N; 3) NO@O; 4) jno@jos; 5) NO@ OS; Reasons: 1) ; 2) ; 3) ef. of midpoint; 4) Vert. are@; 5) SS S rove: I 9. carpenter is building a support for a bird feeder. e wants the triangles on either side of the vertical post to be congruent. e measures and finds that and that. What would he need to measure to prove that the triangles are congruent using SS? What would he need to measure to prove that they are congruent using SSS? Statements: 2) I@, #I; 3) j and ji are rt. ; 4) j@ji; 5) I@ ; Reasons: 1) Refl. rop.; 2) ; 3) ef. of perpendicular; 4) ll rt. are@; 5) SS I or SS, he would need to determine if j@j; for SSS, he would need to determine 10. n artist is drawing two triangles. She draws each so that two sides are 4 in. and 5 in. long and an angle is 55. re her triangles congruent? xplain. nswers may vary. Sample: Maybe; if both the 55 angles are between the 4-in. and 5-in. sides, then the triangles are congruent by SS. opyright by earson ducation, Inc., or its affiliates. ll Rights Reserved.
5 Name lass ate Reteaching riangle ongruence by S and S roblem an the S ostulate or the S heorem be applied directly to prove the triangles congruent? R a. ecause R and are right angles, they are congruent. by the Reflexive roperty of, and it is given that R. herefore, R by the S heorem. xercises Indicate congruences. 1. opy the top figure at the right. Mark the figure with the angle congruence and side congruence symbols that you would need to prove the triangles congruent by the S ostulate. 2. opy the second figure shown. Mark the figure with the angle congruence and side congruence symbols that you would need to prove the triangles congruent by the S heorem. b. It is given that and. ecause and are vertical angles, they are congruent. herefore, by the S ostulate. 3. raw and mark two triangles that are congruent by either the S ostulate or the S heorem. heck students work. What additional information would you need to prove each pair of triangles congruent by the stated postulate or theorem? S ostulate 5. S heorem J K 6. S ostulate j@j jjmk@jlkm, j@jvu jjkm@jlmk, jjmk@jlmk, or jjkm@jlkm M L 7. S heorem 8. S heorem 9. S ostulate j@jo O j@j R jl@jl U V L opyright by earson ducation, Inc., or its affiliates. ll Rights Reserved.
6 Name lass ate Reteaching (continued) riangle ongruence by S and S 10. rovide the reason for each step in the two-column proof. : } VW, U VU, U WVU, UWV is a right angle. rove: U VUW Statements 1) UWV is a right angle. 2) VW#W 3) } VW 4) #W 5) U is a right angle. 6) UWV U 7) U VU 8) U WVU 9) U VUW 1)? 2)? 3)? 4)? 5)? 6)? 7)? 8)? 9)? Reasons efinition of perpendicular lines erpendicular ransversal heorem efinition of perpendicular lines ll right angles are congruent. S heorem U V W 11. Write a paragraph proof. : W } ; W } rove: W W W It is given that W} and W}, so jw@jw and jw@jw, by the lternate Interior hm. W@W by the Reflexive roperty of@. So, by S ost. W@ W. 12. eveloping roof omplete the proof by filling in the blanks. :, 1 2 rove: 4 roof: and 1 2 are given. by? 2. Refl. rop. of ongruence So, by?. S Write a paragraph proof. 1 6 : 1 6, 3 4, L O 2 5 rove: LM ON L M 4 N O 3 j3@j4 is given. herefore, mj3 = mj4, by def. of@js. ecause j2 and j3 are linear pairs, and j4 and j5 are linear pairs, the pairs of angles are suppl. herefore, j2@j5 by the ongruent Suppl. hm. j1@j6 and L@O are given, so LM@ ON, by the S hm. opyright by earson ducation, Inc., or its affiliates. ll Rights Reserved.
Name Class Date. This shows that A corresponds to Q. Therefore, A Q. This shows that BC corresponds to RS. Therefore, BC RS.
Name lass ate eteaching ongruent igures iven, find corresponding parts using the names. rder matters. or example, or example, his shows that corresponds to. herefore,. his shows that corresponds to. herefore,.
More informationName Class Date. This shows that A corresponds to Q. Therefore, A Q. This shows that BC corresponds to RS. Therefore, BC RS.
ame lass ate Reteaching ongruent igures Given QRST, find corresponding parts using the names. Order matters. or example, QRST or example, QRST This shows that corresponds to Q. Therefore, Q. This shows
More information4-1. Standardized Test Prep. Multiple Choice. Short Response. Congruent Figures. For Exercises 1 6, choose the correct letter.
Name lass ate - tandardized est rep ongruent igures ultiple hoice or xercises, choose the correct letter.. he pair of polygons at the right is congruent. What is m/?. he triangles at the right are congruent.
More information4.2 Apply Congruence and
4.2 pply ongruence and riangles oal p Identify congruent figures. Your Notes VOULRY ongruent figures orresponding parts o help you identify corresponding parts, turn n. xample 1 Identify congruent parts
More information3. (9x + 9) x 45 5x. 5. (7x + 6)
5 hapter eview 5.1 ngles of riangles (pp. 231 238) ynamic Solutions available at igideasath.com lassify the triangle by its sides and by measuring its angles. he triangle does not have any congruent sides,
More informationProof EXAMPLE EXAMPLE. Given:
4-7 hat ou ll earn o identify congruent overlapping triangles o prove two triangles congruent by first proving two other triangles congruent... nd hy o identify overlapping triangles in scaffolding, as
More information4-2 Triangle Congruence Conditions. Congruent Triangles - C F. and
4-2 Triangle ongruence onditions ongruent Triangles -,, ª is congruent to ª (ª ª) under a correspondence of parts if and only if 1) all three pairs of corresponding angles are congruent, and 2) all three
More informationUsing Corresponding Parts of Congruent Triangles
4-4 Using orresponding arts of ongruent riangles ontent tandards G..5 Use congruence... criteria for triangles to solve problems and prove relationships in geometric figures. lso G..12 bjective o use triangle
More informationWork with a partner. Use dynamic geometry software. a. Construct ABC and DEF with the side lengths given in column 1 of the table below.
.3 roving riangle imilarity by and OMMO O Learning tandards HG-.. HG-..5 HG-G..5 HG-MG..1 OUIG VIL GUM o be proficient in math, you need to analyze situations by breaking them into cases and recognize
More informationGeometry 1A Homework 6.1b. Tell whether the ASA Postulate can be used to prove the triangles congruent. If not, write not possible
Geometry 1 omework 6.1b Name Name two triangles that are congruent by the ostulate. X W G I ell whether the ostulate can be used to prove the triangles congruent. If not, write not possible. 5. 30 0 30
More informationProblem 2. Got It? Proving Triangle Parts Congruent to Measure Distance. Proof
4-4 Using orresponding arts of ongruent riangles ommon ore tate tandards G-..5 Use congruence... criteria for triangles to solve problems and prove relationships in geometric figures. lso G-..12 1, 3 bjective
More informationEXERCISES Practice and Problem Solving
XI ractice and roblem olving or more practice, see xtra ractice. ractice by xample xample (page 224) In each diagram, the red and blue triangles are congruent. Identify their common side or angle.. K 2.
More information1. What is the sum of the measures of the angles in a triangle? Write the proof (Hint: it involves creating a parallel line.)
riangle asics irst: Some basics you should already know. eometry 4.0 1. What is the sum of the measures of the angles in a triangle? Write the proof (Hint: it involves creating a parallel line.) 2. In
More informationGeometry Definitions, Postulates, and Theorems. Chapter 4: Congruent Triangles. Section 4.1: Apply Triangle Sum Properties
Geometry efinitions, Postulates, and Theorems Key hapter 4: ongruent Triangles Section 4.1: pply Triangle Sum Properties Standards: 12.0 Students find and use measures of sides and of interior and exterior
More information4-3. Triangle Congruence by ASA and AAS. Content Standard. Essential Understanding You can prove that two triangles are congruent
4-3 riangle ongruence by and ontent tandard G..5 Use congruence... criteria for triangles to solve problems and prove relationships in geometric figures. bjective o prove two triangles congruent using
More informationProving Congruence ASA, AAS
roving ongruence, Vocabulary included side Use the ostulate to test for triangle congruence. Use the heorem to test for triangle congruence. are congruent triangles used in construction? he ank of hina
More informationName Period GP. Dates, assignments, and quizzes subject to change without advance notice Monday Tuesday Block Day Friday 7/8 14/15 REVIEW
Name eriod G ongruent olygons 12 HL UNI #7: INGL ONGUN ongruence tatement ates, assignments, and quizzes subject to change without advance notice Monday uesday lock ay riday 7/8 9 ONGUN OLYGON,, and HL
More informationName Class Date. Find corresponding parts using the order of the letters in the names.
4-1 Reteaching Congruent Figures Given ABCD QRST, find corresponding parts using the names. Order matters. For example, This shows that A corresponds to Q. Therefore, A Q. For example, This shows that
More informationTo use and apply properties of isosceles and equilateral triangles
- Isosceles and Equilateral riangles ontent Standards G.O. Prove theorems about triangles... base angles of isosceles triangles are congruent... lso G.O., G.SR. Objective o use and apply properties of
More informationThe hypotenuse and a leg of one triangle are congruent to the hypotenuse and a leg of the other triangle. THEOREM 5.2. right triangles, and
5.4 ypotenuse-eg ongruence heorem: oal se the ongruence heorem and summarize congruence postulates and theorems. ey Words hypotenuse p. 192 leg of a right triangle p. 192 he triangles that make up the
More informationTheorem (NIB), The "The Adjacent Supplementary Angles" Theorem (Converse of Postulate 14) :
More on Neutral Geometry I (Including Section 3.3) ( "NI" means "NOT IN OOK" ) Theorem (NI), The "The djacent Supplementary ngles" Theorem (onverse of ostulate 14) : If two adjacent angles are supplementary,
More information5.3 Proving Triangles are
0 1 1 10 5.3 roving riangles are ongruent: and Goal how triangles are congruent using and. ey Words vertical angles p. 75 alternate interior angles p. 121 Geo-ctivity 1 raw a segment 3 inches long. abel
More informationCongruent Triangles. 1. In the accompanying diagram, B is the midpoint of
ongruent Triangles Name: ate: 1. In the accompanying diagram, is the midpoint of,, E, and = E. Which method of proof may be used to prove = E?. SS = SS. S = S. HL = HL. S = S 4. In the accompanying diagram
More informationProving Lines Parallel
Proving Lines Parallel Proving Triangles ongruent 1 Proving Triangles ongruent We know that the opposite sides of a parallelogram are congruent. What about the converse? If we had a quadrilateral whose
More informationObjectives To use relationships among sides and angles of parallelograms To use relationships among diagonals of parallelograms
6-2 roperties of arallelograms ontent tandards.o.11 rove theorems about parallelogram. s include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each
More informationTo recognize congruent figures and their corresponding parts
4-1 ongruent igures ontent Standard Prepares for G.SR.5 Use congruence... criteria for triangles to solve problems and prove relationships in geometric figures. Objective o recognize congruent figures
More informationGeo Final Review 2014
Period: ate: Geo Final Review 2014 Multiple hoice Identify the choice that best completes the statement or answers the question. 1. n angle measures 2 degrees more than 3 times its complement. Find the
More informationIn Exercises 4 7, use the diagram to name each of the following. true
Name lass ate - Reteaching Lines and Angles Not all lines and planes intersect. Planes that do not intersect are parallel planes. Lines that are in the same plane and do not intersect are parallel. The
More information5.2 ASA Triangle Congruence
Name lass ate 5.2 S Triangle ongruence ssential question: What does the S Triangle ongruence Theorem tell you about triangles? xplore 1 rawing Triangles Given Two ngles and a Side You have seen that two
More informationEXERCISES Practice and Problem Solving
XI ractice and roblem olving For more practice, see xtra ractice. ractice by xample lgebra Find the value of x in each parallelogram. xample (page 95. 5.. 0. 56 5. 80 6. 6 xample (page 95 lgebra Find the
More informationYou try: What is the definition of an angle bisector? You try: You try: is the bisector of ABC. BD is the bisector of ABC. = /4.MD.
US Geometry 1 What is the definition of a midpoint? midpoint of a line segment is the point that bisects the line segment. That is, M is the midpoint of if M M. 1 What is the definition of an angle bisector?
More information5.4. Equilateral and Isosceles Triangles
OMMON OR Learning Standards HSG-O..10 HSG-O..13 HSG-MG..1.4 ONSRUING VIL RGUMNS o be proficient in math, you need to make conjectures and build a logical progression of statements to explore the truth
More informationTo prove two triangles congruent using the SSS and SAS Postulates. Are the triangles below congruent? How do you know? 6 B 4
4-2 riangle ongruence by SSS and SS ommon ore State Standards -SR..5 Use congruence... criteria for triangles to solve problems and prove relationships in geometric figures. P 1, P 3, P 4, P 7 Objective
More informationLesson 13.1 The Premises of Geometry
Lesson 13.1 he remises of Geometry Name eriod ate 1. rovide the missing property of equality or arithmetic as a reason for each step to solve the equation. olve for x: 5(x 4) 15 2x 17 olution: 5(x 4) 15
More informationSkills Practice Skills Practice for Lesson 9.1
Skills Practice Skills Practice for Lesson.1 Name ate Glass Lanterns Introduction to ongruence Vocabulary Identify all parts of the figure that are described by the given term. F E 1. corresponding angles
More information9.3 Properties of Rectangles, Rhombuses, and Squares
Name lass Date 9.3 Properties of Rectangles, Rhombuses, and Squares Essential Question: What are the properties of rectangles, rhombuses, and squares? Resource Locker Explore Exploring Sides, ngles, and
More information11.4 AA Similarity of Triangles
Name lass ate 11.4 Similarity of Triangles ssential Question: How can you show that two triangles are similar? xplore xploring ngle-ngle Similarity for Triangles Two triangles are similar when their corresponding
More informationGeometry Unit 4a - Notes Triangle Relationships
Geometry Unit 4a - Notes Triangle Relationships This unit is broken into two parts, 4a & 4b. test should be given following each part. Triangle - a figure formed by three segments joining three noncollinear
More information9.4 Conditions for Rectangles, Rhombuses, and Squares
Name lass ate 9.4 onditions for Rectangles, Rhombuses, and Squares ssential Question: ow can you use given conditions to show that a quadrilateral is a rectangle, a rhombus, or a square? Resource Locker
More informationName: Unit 4 Congruency and Triangle Proofs
Name: Unit 4 ongruency and Triangle Proofs 1 2 Triangle ongruence and Rigid Transformations In the diagram at the right, a transformation has occurred on. escribe a transformation that created image from.
More informationChapter 4 Answers. Practice m 1 = 110; m 2 = m 3 = 90; m 4 = m 5 = 140; m 6 = 90; m 7 = 40; m 8 = 90
Pearson ducation, Inc., publishing as Pearson Prentice all. ll rights reserved. hapter 4 nswers Practice 4-1 1. m 1 = 110; m 2 = 120 2. m 3 = 90; m 4 = 135 3. m 5 = 140; m 6 = 90; m 7 = 40; m 8 = 90 4.
More information9.2 Conditions for Parallelograms
Name lass ate 9.2 onditions for Parallelograms Essential Question: What criteria can you use to prove that a quadrilateral is a parallelogram? Explore G.6.E Prove a quadrilateral is a parallelogram...
More informationCHAPTER # 4 CONGRUENT TRIANGLES
HPTER # 4 ONGRUENT TRINGLES In this chapter we address three ig IES: 1) lassify triangles by sides and angles 2) Prove that triangles are congruent 3) Use coordinate geometry to investigate triangle relationships
More information7 or 1.17 as your ratio of the lengths when
.5. What id You Learn? ore Vocabular directed line segment, p. 50 ore oncepts Section.5 Side-Side-Side (SSS) Similarit heorem, p. 9 Side-ngle-Side (SS) Similarit heorem, p. 9 Section. riangle Proportionalit
More informationEssential Question How can you prove that a quadrilateral is a parallelogram? Work with a partner. Use dynamic geometry software.
OMMON OR Learning Standards HSG-O..11 HSG-SRT..5 HSG-MG..1 RSONING STRTLY 7.3 To be proficient in math, you need to know and flexibly use different properties of objects. Proving That a Quadrilateral Is
More information5.4 SSS Triangle Congruence
Locker LSSON 5.4 SSS Triangle ongruence Name lass ate 5.4 SSS Triangle ongruence ssential uestion: What does the SSS Triangle ongruence Theorem tell you about triangles? Texas Math Standards The student
More informationObjectives To use the AA Postulate and the SAS and SSS Theorems To use similarity to find indirect measurements
7-3 roving riangles imilar ontent tandards G..5 Use... similarity criteria for triangles to solve problems and to prove relationships in geometric figures. G.G.5 rove the slope criteria for parallel and
More informationUNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 10: Proving Theorems About Parallelograms Instruction
Prerequisite Skills This lesson requires the use of the following skills: applying angle relationships in parallel lines intersected by a transversal applying triangle congruence postulates applying triangle
More informationStop signs would be examples of congruent shapes. Since a stop sign has 8 sides, they would be congruent octagons.
hapter 5 ongruence Theorems -! s In math, the word congruent is used to describe objects that have the same size and shape. When you traced things when you were a little kid, you were using congruence.
More informationThere are three ways to classify triangles based on sides
Unit 4 Notes: Triangles 4-1 Triangle ngle-sum Theorem ngle review, label each angle with the correct classification: Triangle a polygon with three sides. There are two ways to classify triangles: by angles
More informationCh 4 Review Problems pp #7 36, 48,51,52 due MONDAY 12/12
Geometry 4.4 4.6 ongruence Proofs ecember 08, 2016 h 4 Review Problems pp.176 180 #7 36, 48,51,52 due MONY 12/12 h 5 Review Problems pp. 206 209 #15 50 h 6 Review Problems pp. 250 254 #9 19, 33 53 4.2
More informationGeometry Rules! Chapter 4 Notes. Notes #22: Section 4.1 (Congruent Triangles) and Section 4.5 (Isosceles Triangles)
Name: Geometry Rules! hapter 4 Notes - 1 - Period: Notes #: Section 4.1 (ongruent Triangles) and Section 4.5 (Isosceles Triangles) ongruent Figures orresponding Sides orresponding ngles Triangle ngle-sum
More information7.2 Isosceles and Equilateral Triangles
Name lass Date 7.2 Isosceles and Equilateral Triangles Essential Question: What are the special relationships among angles and sides in isosceles and equilateral triangles? Resource Locker Explore G.6.D
More informationReady to Go On? Skills Intervention 4-1 Classifying Triangles
4 Ready to Go On? Skills Intervention 4-1 lassifying Triangles Find these vocabulary words in Lesson 4-1 and the Multilingual Glossary. Vocabulary acute triangle equiangular triangle right triangle obtuse
More informationGeometry Notes - Unit 4 Congruence
Geometry Notes - Unit 4 ongruence Triangle is a figure formed by three noncollinear points. lassification of Triangles by Sides Equilateral triangle is a triangle with three congruent sides. Isosceles
More information11.4 AA Similarity of Triangles
Name lass ate 11.4 Similarity of Triangles ssential Question: How can you show that two triangles are similar? xplore G.7. pply the ngle-ngle criterion to verify similar triangles and apply the proportionality
More informationGeometry. Chapter 3. Congruent Triangles Ways of Proving Triangles Corresponding Parts of Δ s (CP Δ=) Theorems Based on Δ s
Geometry hapter 3 ongruent Triangles Ways of Proving Triangles orresponding Parts of Δ s (P Δ=) Theorems ased on Δ s Geometry hapter 3 ongruent Triangles Navigation: lick on sheet number to find that sheet.
More information5.5 Start Thinking. 5.5 Warm Up. 5.5 Cumulative Review Warm Up. Use a ruler to construct JKL with JK = 1 in., KL = 0.5 in.,
5.5 tart hinking Use a ruler to construct JKL with JK = 1 in., KL = 0.5 in., JL = 1 in. What are the angle measurements in JKL? lassify JKL. onstruct a new triangle, PQ, with JK PQ, KL Q, JL P. re the
More informationDO NOT LOSE THIS REVIEW! You will not be given another copy.
Geometry Fall Semester Review 2011 Name: O NOT LOS THIS RVIW! You will not be given another copy. The answers will be posted on your teacher s website and on the classroom walls. lso, review the vocabulary
More informationMaintaining Mathematical Proficiency
Name ate hapter 5 Maintaining Mathematical Proficiency Find the coordinates of the midpoint M of the segment with the given endpoints. Then find the distance between the two points. 1. ( 3, 1 ) and ( 5,
More informationIsosceles Triangles. leg. base
6 4 What ou ll Learn ou ll learn to identif and use properties of isosceles triangles. Isosceles riangles ecall from Lesson 5 that an isosceles triangle has at least two congruent sides. he congruent sides
More informationGeometry. Chapter 4 Resource Masters
Geometry hapter 4 esource Masters NME E PEI 4 eading to Learn Mathematics Vocabulary uilder his is an alphabetical list of the key vocabulary terms you will learn in hapter 4. s you study the chapter,
More informationWhenever two figures have the same size and shape, they are called congruent. Triangles ABC and DEF are congruent. You can match up vertices like
Unit 1: orresponding Parts in a ongruence Section 1: ongruent Figures Whenever two figures have the same size and shape, they are called congruent. F D E Triangles and DEF are congruent. You can match
More informationEssential Question How can you use congruent triangles to make an indirect measurement?
5.7 Using ongruent riangles ssential uestion How can you use congruent triangles to make an indirect measurement? easuring the Width of a iver IIUI H OI O OH o be proficient in math, you need to listen
More informationB M. and Quad Quad MNOP
hapter 7 ongruence Postulates &Theorems -Δ s In math, the word congruent is used to describe objects that have the same size and shape. When you traced things when you were a little kid, you were using
More informationGeometry Honors. Midterm Review
eometry onors Midterm Review lass: ate: eometry onors Midterm Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1 What is the contrapositive of the statement
More informationCongruence Transformations and Triangle Congruence
ongruence Transformations and Triangle ongruence Truss Your Judgment Lesson 11-1 ongruent Triangles Learning Targets: Use the fact that congruent triangles have congruent corresponding parts. etermine
More information5 Congruent Triangles
5 ongruent riangles 5.1 ngles of riangles 5. ongruent olygons 5.3 roving riangle ongruence by 5.4 quilateral and Isosceles riangles 5.5 roving riangle ongruence by 5.6 roving riangle ongruence by and 5.7
More informationProperties of Rhombuses, Rectangles, and Squares
6- Properties of Rhombuses, Rectangles, and Squares ontent Standards G.O. Prove theorems about parallelograms... rectangles are parallelograms with congruent diagonals. lso G.SRT.5 Objectives To define
More informationKey Concept Congruent Figures
4-1 ongruent igures ommon ore State Standards Prepares for G-SRT..5 Use congruence... criteria for triangles to solve problems and prove relationships in geometric figures. P 1, P 3, P 4, P 7 Objective
More informationTo identify congruence transformations To prove triangle congruence using isometries
9-5 -0-1 ongruence ransformations ontent tandards G..7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent... lso G..6, G..8 bjective o identif congruence
More informationb. Move BC so that B is on the smaller circle and C is on the larger circle. Then draw ABC.
5.5 Proving Triangle ongruence by ssential uestion What can you conclude about two triangles when you know the corresponding sides are congruent? rawing Triangles Work with a partner. Use dynamic geometry
More informationBIG IDEAS MATH. A Bridge to Success. Ron Larson Laurie Boswell. Erie, Pennsylvania BigIdeasLearning.com
IG I MH ridge to uccess on arson aurie oswell rie, ennsylvania igideasearning.com 5 ongruent riangles 5.1 ngles of riangles 5. ongruent olygons 5.3 roving riangle ongruence by 5.4 quilateral and Isosceles
More informationGeometry Rules! Chapter 4 Notes. Notes #20: Section 4.1 (Congruent Triangles) and Section 4.4 (Isosceles Triangles)
Geometry Rules! hapter 4 Notes Notes #20: Section 4.1 (ongruent Triangles) and Section 4.4 (Isosceles Triangles) ongruent Figures orresponding Sides orresponding ngles *** parts of triangles are *** Practice:
More information6.3 HL Triangle Congruence
Name lass ate 6.3 HL Triangle ongruence Essential Question: What does the HL Triangle ongruence Theorem tell you about two triangles? Explore Is There a Side-Side-ngle ongruence Theorem? Resource Locker
More informationGeometry Honors. Midterm Review
eometry Honors Midterm Review lass: ate: I: eometry Honors Midterm Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1 What is the contrapositive of the
More information7.4 Showing Triangles are
7. howing riangles are imilar: and oal how that two triangles are similar using the and imilarity heorems. ey ords similar polygons p. he triangles in the avajo rug look similar. o show that they are similar,
More information(Current Re nweb Grade)x.90 + ( finalexam grade) x.10 = semester grade
2//2 5:7 PM Name ate Period This is your semester exam which is worth 0% of your semester grade. You can determine grade what-ifs by using the equation below. (urrent Re nweb Grade)x.90 + ( finalexam grade)
More informationWork with a partner. Use dynamic geometry software.
10.4 Inscribed ngles and Polygons ssential uestion How are inscribed angles related to their intercepted arcs? How are the angles of an inscribed quadrilateral related to each other? n inscribed angle
More informationThe side that is opposite the vertex angle is the base of the isosceles triangle.
Unit 5, Lesson 6. Proving Theorems about Triangles Isosceles triangles can be seen throughout our daily lives in structures, supports, architectural details, and even bicycle frames. Isosceles triangles
More information2.7 Angles and Intersecting Lines
Investigating g Geometry TIVITY Use before Lesson.7.7 ngles and Intersecting Lines M T R I LS graphing calculator or computer Q U S T I O N What is the relationship between the measures of the angles formed
More information2. Find the measure of AC. 4. Find the measure of BD. 6. Find the measure of AB.
7.3 Start Thinking xamine the diagram and determine if there appears to be enough information to conclude that the quadrilateral is a parallelogram. If there is not enough information, give an example
More informationAngles of Polygons Concept Summary
Vocabulary and oncept heck diagonal (p. 404) isosceles trapezoid (p. 439) kite (p. 438) median (p. 440) parallelogram (p. 411) rectangle (p. 424) rhombus (p. 431) square (p. 432) trapezoid (p. 439) complete
More informationProving That a Quadrilateral Is a Parallelogram. To determine whether a quadrilateral is a parallelogram
- roving That a Quadrilateral Is a arallelogram ontent Standards G.O. rove theorems about parallelograms... the diagonals of a parallelogram bisect each other and its converse... lso G.ST. Objective To
More information8.1 Practice A. Name Date. Then find the area of XYZ. to the perimeter of XYZ.
ame ate.1 ractice In ercises 1 and 2, find the scale factor. hen list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality. 1. 2. GH 13
More information4-1. Congruent Figures. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary. 1. Underline the correct word to complete the sentence.
4-1 ongruent igures Vocabulary Review 1. Underline the correct word to complete the sentence. polygon is a two-dimensional figure with two / three or more segments that meet exactly at their endpoints.
More informationdescribes a ray whose endpoint is point A. g. A plane has no thickness. h. Symbols XY and YX describe the same line. i. Symbols AB
RVIW FOR TH GOMTRY MITRM XM. 1. True or False? e prepared to explain your answer. a. efinitions and theorems are very important in mathematics but every mathematical system must contain some undefined
More informationClassify each triangle by its side lengths as equilateral, isosceles, or scalene. (Note: Give two classifications in Exercise 13.)
hapter 4 ongruent Triangles 4.2 and 4.9 lassifying Triangles and Isosceles, and quilateral Triangles. Match the letter of the figure to the correct vocabulary word in xercises 1 4. 1. right triangle 2.
More informationMaintaining Mathematical Proficiency
Name ate hapter 8 Maintaining Mathematical Proficiency Tell whether the ratios form a proportion. 1. 16, 4 12 2. 5 45, 6 81. 12 16, 96 100 4. 15 75, 24 100 5. 17 2, 68 128 6. 65 156, 105 252 Find the scale
More informationGeometry/Trig 2 Unit 4 Review Packet page 1 Part 1 Polygons Review
Unit 4 Review Packet page 1 Part 1 Polygons Review ate: 1) nswer the following questions about a regular decagon. a) How many sides does the polygon have? 10 b) What is the sum of the measures of the interior
More informationLincoln Public Schools GEOMETRY REVIEW - Semester One CALCULATOR Revised 12/2007
Lincoln Public chools GOMY VIW - emester One LULO evised /007. escribe the lines in the sketch.. coplanar and intersecting. coplanar and nonintersecting. noncoplanar and intersecting. noncoplanar and nonintersecting.
More informationTo identify congruence transformations To prove triangle congruence using isometries
9-5 ongruence ransformations ommon ore tate tandards G-.B.7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent... lso G-.B.6, G-.B.8 M 1, M 3, M bjective
More informationFinal Exam Review. Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the length of.
Final Exam Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Find the length of. 9 8 7 6 5 4 3 2 1 0 1 a. = 7 c. = 7 b. = 9 d. = 8 2. Find the best
More informationEssential Question What are the properties of parallelograms?
7. roperties of arallelograms ssential uestion What are the properties of parallelograms? iscovering roperties of arallelograms Work with a partner. Use dynamic geometry software. a. onstruct any parallelogram
More informationQRS LMN. Name all pairs of congruent corresponding parts.
5.6 Warm up Find the value of x. 1. 2. 55 0 40 0 x + 83 3. QRS LMN. Name all pairs of congruent corresponding parts. Decide whether enough information is given to prove that the triangles are congruent.
More informationInt. Geometry Unit 7 Test Review 1
Int. Geometry Unit 7 est eview uestions -0: omplete each statement with sometimes, always, or never.. he diagonals of a trapezoid are congruent.. rhombus is equiangular.. rectangle is a square.. he opposite
More informationGeometry EOC Review. Multiple Choice Identify the choice that best completes the statement or answers the question.
Geometry EO Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Show that the conjecture is false by finding a counterexample. If, then. a., c., b.,
More informationdescribes a ray whose endpoint is point A. TRUE g. A plane has no thickness. TRUE h. Symbols XY and YX describe the same line. TRUE i.
Geometry Ms. H. Ray, 010 NSWRS TO TH RVIW FOR TH GOMTRY MITRM XM. 1. True or False? e prepared to explain your answer. a. efinitions and theorems are very important in mathematics but every mathematical
More information4.5 ASA and AAS 2017 ink.notebook. November 08, Page ASA and AAS. Page 158. Page 161. Page 162. Page 160. Page 159
4.5 S and S 2017 ink.notebook Page 157 4.5 S and S Page 158 Page 159 Page 160 Page 161 Page 162 1 Lesson Objectives Standards Lesson Notes Lesson Objectives Standards Lesson Notes 4.5 S and S fter this
More information6.2 AAS Triangle Congruence
Name lass ate 6. S Triangle ongruence ssential Question: What does the S Triangle ongruence Theorem tell ou about two triangles? xplore G.6. Prove two triangles are congruent b appling the ngle-ngle-side
More information