LAP 1 TOOLS OF GEOMETRY VOCABULARY, THEOREMS AND POSTULATES
|
|
- Victoria Banks
- 5 years ago
- Views:
Transcription
1 Point - LAP 1 TOOLS OF GEOMETRY VOCABULARY, THEOREMS AND POSTULATES Line - Plane - Collinear Points - Coplanar- Segment- Ray-
2 Opposite Rays- LAP 1 TOOLS OF GEOMETRY Postulate or Axiom- POSTULATE 1-1- POSTULATE 1-2- POSTULATE 1-3- POSTULATE 1-4-
3 RULER POSTULATE- LAP 1 TOOLS OF GEOMETRY SEGMENT ADDITION POSTULATE- Congruent Segments - Midpoint-
4 Segment Bisector (bisects)- LAP 1 TOOLS OF GEOMETRY Angle - PROTRACTOR POSTULATE- ANGLE ADDITION POSTULATE
5 Types of Angles- LAP 1 TOOLS OF GEOMETRY Congruent Angles- Adjacent angles- Vertical Angles-
6 Complementary angles- LAP 1 TOOLS OF GEOMETRY Supplementary Angles- Linear Pair- LINEAR PAIR POSTULATE-
7 Angle Bisector (bisects)- LAP 1 TOOLS OF GEOMETRY Perpendicular Lines- Perpendicular Bisector (bisects)- MIDPOINT FORMULA- Diagram: Coordinate Plane:
8 DISTANCE FORMULA- LAP 1 TOOLS OF GEOMETRY Perimeter- Area- AREA ADDITION POSTULATE-
9 Name Date Class SECTION 1-2 POINTS, LINES AND PLANES Geometry is a mathematical system built on accepted facts, basic terms, and definitions. In Geometry, we have undefined terms: point, line, plane. Undefined terms are the basic ideas that you can use to build definitions of ALL other figures in geometry. Although you cannot define them, it is important to have a general description of their meanings. EX 1: Use the figure on the right to answer the questions. A. What are two other ways to name QT? B. What are two other ways to name plane P? C. What are the names of 3 collinear points? D. What are the names of 3 coplanar points? E. What are two points that are not coplanar to R, S, and V? EX 2: Use the figures below to answer the questions. It is the same figure for each questions. A. What are the names of the segments? B. What are the names of the rays? C. What are the opposite rays? D. EF and FE form a line, are they opposite rays?
10 Name Date Class EX 3: What is the intersection of plane ADC and plane BFG? What type of intersection should it be? EX 4: What is plane contains N, P, and Q? Shade the plane. EX 5: What is plane contains J, M, and Q? Shade the plane. EX 6: Determine whether each statement is always, sometimes, or never true. A. GH and HG are the same ray. B. JI and JL are opposite rays. C. A plane contains only three points. D. Three noncollinear points are contained in only one plane. E. If three points are coplanar, they are collinear.
11 Name Date Class SECTION 1-3 MEASURING SEGMENTS EX 1: What is ST? EX 2: What is UV? EX 3: What is SV? EX 4: If EG 59, EF 8x 14, and FG 4x 1, what are EF and FG? EX 5: If EG 4x 2, EF 10, and FG 2x 2, what are JK and KL? EX 6: Are AC and BD congruent? EX 7: What are the midpoint of PR? What are PQ, QR, and PR?
12 Name Date Class EX 1: What are two other names for 1? SECTION 1-4 MEASURING ANGLES EX 2: What are two other names for KML? EX 3: Would it be correct to name any of the angles M? EX 4: What are the measures of LKN, JKL, and JKN? Classify each angle. EX 5: If RQT 155, what are RQS and TQS? EX 6: What are DEC and CEF? EX 7: Your class concludes from the diagram that JKL LKM. Is your classmate correct? Explain.
13 Name Date Class SECTION 1-5 EXPLORING ANGLE PAIRS EX 1: Use the diagram. Is the statement true? Explain. A. BFD and CFD are adjacent angles. B. AFB and EFD are vertical angles. C. AFE and BFC are complementary. D. AFE and CFD are vertical angles. E. BFC and DFE are supplementary angles. EX 2: What can you conclude about the following diagrams? A. B. EX 3: KPL and JPL are a linear pair, KPL 2x 24 and JPL 4x 36. What are the measures of KPL and JPL? EX 4: bisects DAB. If DAC 58, what is DAB?
14 Name Date Class SECTION 1-6 BASIC CONSTRUTIONS EX 1: Draw the following situation and mark the drawing. A. bisects at point C. ACE ECB. What can you conclude about the drawing? B. bisects WXZ. What can you conclude about the drawing? EX 2: What can you concluding about the drawings? A. B. C. D. E.
15 Geometry B Name ID: 1 K r2n0\1m7k bkiuhtpas zsboifvtbwaayrcer rl\l\c^.c a OAslKl[ mrxijgjhgtksv Ur`e[sde[rEvxe^dl. Sec. 1.6 Worksheet Write if the statement given is indicated by the marks on the diagram. Date Period 1) 2) V Y X S T U W Q R T d c b YX XU SQ 3) E 4) A J F K D S P B U Q C T R EK QX h _2r0G1p7v qkhuvtrae ]SVoHfWtmwxaArheQ VLLL\Cf.k z OAFlIlV jrpiogbhztwsg QrOeNsdeSryvuedda.n L wmdahdset DwKiFtZhw CIgnffei_nniZtred DGKetormiejtgrEyw. -1- Worksheet by Kuta Software LLC
16 5) R 6) T Q W V S U T U P SR TU UW 7) 8) T C E U S L B D R K V CE BC W SV WV List all information given by the marks on the diagram. Make sure to name all figures (segments, lines, angles, etc.) with the CORRECT notation. 9) 10) A Q R B S T C D E F A n2r0g1s7l xkvupt_ad osnonfmtswmaqrjej vlllkce.j I ^AvlEl[ QrxijgUhvtisk krreos]eqrdvaejde.o H mmuandjei MwEiGtBhA oisntfei^nzictqei igteuoembeetsrryu. -2- Worksheet by Kuta Software LLC
17 11) 12) V S D F T X W C E U 13) Q P 14) U R R S U Q S T T 15) A 16) B M G F F L E D C E D n ]2Q0Y1O7o HKquZt\ay us[o^fntywra\reee ^LrLbCF.^ ] KAClylD prpingthttdsk urfebs]elrhvieod_._ i mmia_d`eb ]w\i]tghg LISntfaiEnoiztRew TGaeSoumGedtyrvyC. -3- Worksheet by Kuta Software LLC
18 17) f e d 18) T R Q S R S Q P 19) 20) E D B P S U Q C F T R 21) 22) D F D B C E C B E G l J2j0o1A7u tkcu[tyaj ASioCfMtDwZabrKeF BLmLWC].D ] caulwlu SrmivgmhvtIsd UrAehs\evrOvMefd^.G A omgapdnej wwuiztthf MImnFfEiDnaistxeY JGjeJotmIejtJr[yQ. -4- Worksheet by Kuta Software LLC
19 Answers to Sec. 1.6 Worksheet (ID: 1) 1) Not given by the diagram 2) Not given by the diagram 3) Given by the diagram 4) Not given by the diagram 5) Not given by the diagram 6) Given by the diagram 7) Given by the diagram 8) Not given by the diagram 9) TR SQ 10) EB DC 11) TU ST SU VW 12) DC FE CE DF 13) TS PQ 14) QS QR RST 15) EFD DFC AM 16) ED GF DF EG GF FD 17) f e QR d ST 18) PQ RS SQ RP SQ 19) QR PQ PR ST STU 20) BD BDC CDE 21) CD BC EF BD EFG 22) DE BC BC EC DB k X2Y0u1u7Y hkdumtoak LS\oKfFtIwDalrWek DLlLdCk.l O HAUlOls _ruifgwhptbsh HrBe`sVeJrrv[eadC.c B LMFaUd_en PwIiVt^hM xilnafviantivtxez ngsefotm_eet`rpyr. -5- Worksheet by Kuta Software LLC
20 Name Date Class SECTION 1-7 MIDPOINT AND DISTANCE FORMULAS EX 1: On a number line, has endpoints -3 and 7. What is AB? What is the coordinate of the midpoint? EX 2: has endpoints E(7, 5) and F(2, -4). What are the coordinates of its midpoint M? EX 3: The midpoint of is M(-2, 1). One endpoint is C(-5, 7). What are the coordinates of the endpoint D?
21 Name Date Class EX 3: What is the distance between U(-7, 5) and V(4, -3)? Round to the nearest tenth.
22 Geometry B Name ID: 1 V S2[0V1h7j nksust`az csqohfotbwhanrbex PLULgCP.^ A `AolPlM lrziogqhptgsy jrleesreoruvuetdu. Sec. 1.7 Worksheet Date Period Find the midpoint of the line segment with the given endpoints. Give answers in decimals. 1) (-8, -7), (1, -6) 2) (0, -5), (8, -4) 3) (3, 6), (-10, -7) 4) (-6, 7), (-5, -8) 5) (2, -10), (9, 9) 6) (2, 9), (-9, 0) Find the midpoint of each line segment. Give answers in decimals. PLOT and LABEL the midpoint with its ordered pair. 7) y 8) y x x ^ B2q0Q1M7W _KAuptPaL jsiosfftuwfanrjep SL`LWCW.g q IAvlRlg TrJiVg^hbtqsg TrdeJs\e_rxvqeCdX.l f OMcagdxep ZwNiwt\ha XIZnZfUiUnrivtCeH sg\esovmpeutqrcyp. -1- Worksheet by Kuta Software LLC
23 9) y 10) y x x ) y 12) y x x Find the other endpoint of the line segment with the given endpoint and midpoint. 13) Endpoint: (1, 6), midpoint: (-2, 3) 14) Endpoint: (10, 5), midpoint: (-6, -3) Find the distance between each pair of points. Give answer in decimals, round to the nearest tenth if necessary. 15) (2, 2), (3, -2) 16) (6, -6), (-2, 2) c l2p0e1m7h ZKkuVthas [S^oUfitQwUagr_ei TL]LtCi.K ^ aaklulm [rqifgqh`ttso drhepszeorsvoehdf.z X PMHaLdHeO NwIietrhd BIynffeiWn_igtOeM ngceyoumcegternyr. -2- Worksheet by Kuta Software LLC
24 17) (2, -6), (0, -5) 18) (7, -6), (6, 2) 19) y 20) y x x ) y 22) y x x o I2N0]1o7D dkmultfak ts^oyf[t\wvahreer glolrca.y J DADlflB srwi\grhptisv [rvessrevrevjewdn._ N PM^aTdGeb vwgictdhc hidnvfyiynfidtjep ggwemo^mfeytfrcyr. -3- Worksheet by Kuta Software LLC
B. Section 1.1. Chapter 1 Review Booklet A. Vocabulary Match the vocabulary term with its definition. 3. A pair of opposite rays on line p.
A. Vocabulary Match the vocabulary term with its definition. Point Polygon Angle Sides Postulate Collinear Opposite Rays Vertical angles Coplanar Linear Pair Complementary Vertex Line Adjacent Plane Distance
More informationReteach. Understanding Points, Lines, and Planes. P point P
Name Date Class 1-1 Understanding Points, Lines, and Planes A point has no size. It is named using a capital letter. All the figures below contain points. line Figure Characteristics Diagram Words and
More informationUse the figure to name each of the following:
Name: Period Date Pre-AP Geometry Fall 2016 Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1) three non-collinear points 2) one line in three different
More information10) the plane in two different ways Plane M or DCA (3 non-collinear points) Use the figure to name each of the following:
Name: Period Date Pre-AP Geometry Fall 2015 Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1) three non-collinear points (A, C, B) or (A, C, D) or any
More information15. K is the midpoint of segment JL, JL = 4x - 2, and JK = 7. Find x, the length of KL, and JL. 8. two lines that do not intersect
Name: Period Date Pre-AP Geometry Fall Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1. three non-collinear points 2. one line in three different ways
More informationChapter 1: Essentials of Geometry
1.1 Identify Points, Lines, and Planes Chapter 1: Essentials of Geometry Point: Line: Collinear points: Coplanar points: Segment: Ray: Opposite rays: Example 1: Use the diagram at the right to answer the
More informationM2 GEOMETRY REVIEW FOR MIDTERM EXAM
M2 GEOMETRY REVIEW FOR MIDTERM EXAM #1-11: True or false? If false, replace the underlined word or phrase to make a true sentence. 1. Two lines are perpendicular if they intersect to form a right angle.
More informationThere are two ways to name a line. What are the two ways?
Geometry: 1-1 Points, Lines and Planes What are the Undefined Terms? The Undefined Terms are: What is a Point? How is a point named? Example: What is a Line? A line is named two ways. What are the two
More informationTerm: description named by notation (symbols) sketch an example. The intersection of two lines is a. Any determine a line.
Term: description named by notation (symbols) sketch an example point line plane Collinear points Examples: Non-collinear points Examples: Coplanar: Examples: Non-coplanar: Examples: The intersection of
More information*Chapter 1.1 Points Lines Planes. Use the figure to name each of the following:
Name: Period Date Pre- AP Geometry Fall 2015 Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1) three non-collinear points 2) one line in three different
More information1.1 Understanding the Undefined Terms
1.1 Understanding the Undefined Terms Undefined Terms There are three undefined terms in geometry, these words do not have a formal definition. The undefined terms are:,, and. Naming Points, Lines, and
More informationAn Approach to Geometry (stolen in part from Moise and Downs: Geometry)
An Approach to Geometry (stolen in part from Moise and Downs: Geometry) Undefined terms: point, line, plane The rules, axioms, theorems, etc. of elementary algebra are assumed as prior knowledge, and apply
More informationName Date Period. 1.1 Understanding the Undefined Terms
Name Date Period Lesson Objective: 1.1 Understanding the Undefined Terms Naming Points, Lines, and Planes Point Line Plane Collinear: Coplanar: 1. Give 2 other names for PQ and plane R. 2. Name 3 points
More informationGeometry - Chapter 1 - Corrective #1
Class: Date: Geometry - Chapter 1 - Corrective #1 Short Answer 1. Sketch a figure that shows two coplanar lines that do not intersect, but one of the lines is the intersection of two planes. 2. Name two
More informationUnit 1: Foundations of Geometry Section 1: Points, Lines & Planes. The most basic figures in geometry are.
Unit 1: Foundations of Geometry Section 1: Points, Lines & Planes The most basic figures in geometry are. 1 Intersections: Lines Planes Ex #1 2 1a. Name four coplanar points. 1b. Name three lines. 2.Use
More informationIntroduction to Geometry
Introduction to Geometry Building Blocks of Geometry I. Three building blocks of geometry: points, lines, and planes. 1. A point is the most basic building block of geometry. It has no size. It only has
More information1-1 Understanding Points, Lines, and Planes (pp. 6 11) Vocabulary EXERCISES
Vocabulary acute angle.................. 1 adjacent angles.............. 8 angle....................... 0 angle bisector............... 3 area........................ 36 base........................ 36
More informationUNIT 1: TOOLS OF GEOMETRY POINTS,LINES, & PLANES Geometry is a mathematical system built on accepted facts, basic terms, and definitions.
UNIT 1: TOOLS OF GEOMETRY POINTS,LINES, & PLANES Geometry is a mathematical system built on accepted facts, basic terms, and definitions. Point, line, and plane are all undefined terms. They are the basic
More informationAnalytic Geometry. Pick up the weekly agenda sheet and the packet for the week. Find your vocabulary match. This is your new team member.
Happy New Year! Analytic Geometry Pick up the weekly agenda sheet and the packet for the week. Find your vocabulary match. This is your new team member. Unit 1: Similarity, Congruence & Proofs Vocabulary
More informationSegments Proofs Reference
Segments Proofs Reference Properties of Equality Addition Property Subtraction Property Multiplication Property Division Property Distributive Property Reflexive Property The properties above may only
More informationGeometry Fundamentals Midterm Exam Review Name: (Chapter 1, 2, 3, 4, 7, 12)
Geometry Fundamentals Midterm Exam Review Name: (Chapter 1, 2, 3, 4, 7, 12) Date: Mod: Use the figure at the right for #1-4 1. What is another name for plane P? A. plane AE B. plane A C. plane BAD D. plane
More informationFALL SEMESTER EXAM Directions: You must show work for all the problems. Unit 1. Angle. Angle Addition Postulate. Angle Bisector. Length of a segment
Name FALL SEMESTER EXAM Directions: You must show work for all the problems. Unit 1 Period Angle Angle Addition Postulate Angle Bisector Length of a segment Line Midpoint Right Angle Segment Segment Addition
More informationGeometry. Chapter 1 Points, Lines, Planes, and Angles
Geometry Chapter 1 Points, Lines, Planes, and Angles ***In order to get full credit for your assignments they must me done on time and you must SHOW ALL WORK. *** Algebraic Equations Review Keystone Vocabulary
More informationDate Name of Lesson Assignments & Due Dates
Date Name of Lesson Assignments & Due Dates Basic Terms Points, Lines and Planes Constructions (Copy Angle and Segment) Distance Formula Activity for Distance Formula Midpoint Formula Quiz Angle Measure
More informationGeometry Midterm Review Vocabulary:
Name Date Period Geometry Midterm Review 2016-2017 Vocabulary: 1. Points that lie on the same line. 1. 2. Having the same size, same shape 2. 3. These are non-adjacent angles formed by intersecting lines.
More informationGeometry Advanced Fall Semester Exam Review Packet -- CHAPTER 1
Name: Class: Date: Geometry Advanced Fall Semester Exam Review Packet -- CHAPTER Multiple Choice. Identify the choice that best completes the statement or answers the question.. Which statement(s) may
More informationWriting Linear Equations
Writing Linear Equations Name: SHOW ALL WORK!!!!! For full credit, show all work on all problems! Write the slope-intercept form of the equation of each line. 1. 3x 2y = 16 2. 13x 11y = 12 3. 4x y = 1
More informationGeometry 1-1. Non-collinear Points not on the same line. Need at least 3 points to be non-collinear since two points are always collinear
Name Geometry 1-1 Undefined terms terms which cannot be defined only described. Point, line, plane Point a location in space Line a series of points that extends indefinitely in opposite directions. It
More information1.1 Points, Lines, and Planes ASSIGNMENT Hour Date
1.1 Points, Lines, and Planes ASSIGNMENT Hour Date Refer to the figure at the right. 1. Name a line that contains point A. 2. What is another name for line m? 3. Name a point not on AC. 4. Name the intersection
More informationMaintaining Mathematical Proficiency
Name Date Chapter 1 Maintaining Mathematical Proficiency Simplify the expression. 1. 3 + ( 1) = 2. 10 11 = 3. 6 + 8 = 4. 9 ( 1) = 5. 12 ( 8) = 6. 15 7 = + = 8. 5 ( 15) 7. 12 3 + = 9. 1 12 = Find the area
More informationBENCHMARK Name Points, Lines, Segments, and Rays. Name Date. A. Line Segments BENCHMARK 1
A. Line Segments (pp. 1 5) In geometry, the words point, line and plane are undefined terms. They do not have formal definitions but there is agreement about what they mean. Terms that can be described
More informationSection 1-1 Points, Lines, and Planes
Section 1-1 Points, Lines, and Planes I CAN. Identify and model points, lines, and planes. Identify collinear and coplanar points and intersecting lines and planes in space. Undefined Term- Words, usually
More informationGeometry Level 1 Midterm Review Packet. I. Geometric Reasoning (Units 1 & 2) Circle the best answer.
2015 Midterm Outline (120pts) I. 28 Multiple Choice (28pts) II. 12 True & False (12pts) III. 13 Matching (13pts) IV. 14 Short Answer (49pts) V. 3 Proofs (18pts) VI. 10 Common Assessment (10pts) Geometry
More informationGeometry Level 1 Midterm Review Packet
Geometry L1 2017 Midterm Topic List Unit 1: Basics of Geometry 1. Point, Line, Plane 2. Segment Addition Postulate 3. Midpoint Formula, Distance Formula 4. Bisectors 5. Angle Pairs Unit 2: Logical Reasoning
More informationGeometry Regular Midterm Exam Review (Chapter 1, 2, 3, 4, 7, 9)
Geometry Regular Midterm Exam Review (Chapter 1, 2, 3, 4, 7, 9) Name: Date: Mod: Use the figure at the right for #1-4 1. What is another name for plane P? A. plane AE B. plane A C. plane BAD D. plane BAC
More informationPostulate 1-1-2: Through any three noncollinear points there is exactly one plane containing them.
Unit Definitions Term Labeling Picture Undefined terms Point Dot, place in space Line Plane Series of points that extends in two directions forever Infinite surface with no thickness Defined Terms Collinear
More informationUnit 1 Packet Honors Common Core Math 2 22
Unit 1 Packet Honors Common Core Math 2 22 Day 8 Homework Part 1 HW Directions: The following problems deal with congruency and rigid motion. The term rigid motion is also known as isometry or congruence
More informationWriting Linear Equations
Complete ALL problems. Show your work. Check your answers on the back page! Writing Linear Equations Write the slope-intercept form of the equation of each line. 1. 3x 2y = 16 2. 4x y = 1 3. 6x + 5y =
More informationLet s Get This Started!
Lesson. Skills Practice Name Date Let s Get This Started! Points, Lines, Planes, Rays, and Line Segments Vocabulary Write the term that best completes each statement.. A geometric figure created without
More informationObjectives: (What You ll Learn) Identify and model points, lines, planes Identify collinear and coplanar points, intersecting lines and planes
Geometry Chapter 1 Outline: Points, Lines, Planes, & Angles A. 1-1 Points, Lines, and Planes (What You ll Learn) Identify and model points, lines, planes Identify collinear and coplanar points, intersecting
More informationUNIT 1A. I can list the tools of geometry I can calculate midpoint in coordinate geometry
Geometry 1-2 The Building Blocks of Geometry My academic goal for this unit is... UNIT 1A Name: Teacher: Per: heck for Understanding Key: Understanding at start of the unit Understanding after practice
More informationSmart s Mill Middle School
Smart s Mill Middle School Geometry Semester Exam Review 0 03 You must show your work to receive credit! Mrs. nderson and Mrs. ox note to remember, for this review N the actual exam: It is always helpful
More informationGeometry Lesson 1-1: Identify Points, Lines, and Planes Name Hr Pg. 5 (1, 3-22, 25, 26)
Geometry Lesson 1-1: Identify Points, Lines, and Planes Name Hr Pg. 5 (1, 3-22, 25, 26) Learning Target: At the end of today s lesson we will be able to successfully name and sketch geometric figures.
More informationGeometry CP- Chapter 1 Practice Test
Name: Class: Date: Geometry CP- Chapter 1 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Based on the pattern, what are the next two terms
More informationGeometry Reasons for Proofs Chapter 1
Geometry Reasons for Proofs Chapter 1 Lesson 1.1 Defined Terms: Undefined Terms: Point: Line: Plane: Space: Postulate 1: Postulate : terms that are explained using undefined and/or other defined terms
More information1-1. Points, Lines, and Planes. Lesson 1-1. What You ll Learn. Active Vocabulary
1-1 Points, Lines, and Planes What You ll Learn Scan the text in Lesson 1-1. Write two facts you learned about points, lines, and planes as you scanned the text. 1. Active Vocabulary 2. New Vocabulary
More informationPLANE GEOMETRY SKILL BUILDER ELEVEN
PLANE GEOMETRY SKILL BUILDER ELEVEN Lines, Segments, and Rays The following examples should help you distinguish between lines, segments, and rays. The three undefined terms in geometry are point, line,
More informationUsing the Properties of Equality
8.1 Algebraic Proofs (G.CO.9) Properties of Equality Property Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality Distributive
More informationGeometry: Semester 1 Midterm
Class: Date: Geometry: Semester 1 Midterm Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The first two steps for constructing MNO that is congruent to
More information1.1 Points, Lines, and Planes
1.1 Points, Lines, and Planes Identify and model points, lines and planes. Identify collinear, and coplanar points and intersecting lines and planes in the space. Vocabulary Point, line, plane, collinear,
More informationGEOMETRY SPRING SEMESTER FINALS REVIEW PACKET
Name Date Class GEOMETRY SPRING SEMESTER FINALS REVIEW PACKET For 1 2, use the graph. 6. State the converse of the statement. Then determine whether the converse is true. Explain. If two angles are vertical
More informationMath 2 Unit 2 Notes: DAY 1 Review Properties & Algebra Proofs
Math 2 Unit 2 Notes: DAY 1 Review Properties & Algebra Proofs Warm-up Addition Property of equality (add prop =) If Then a = b If 5x-7 = 23 Then If AB = CD Then AB+GH = Subtraction Property of equality
More informationTransformations and Congruence
Name Date Class UNIT 1 Transformations and Congruence Unit Test: C 1. Draw ST. Construct a segment bisector and label the intersection of segments Y. If SY = a + b, what is ST? Explain your reasoning.
More informationa) Triangle KJF is scalene. b) Triangle KJF is not isosoceles. c) Triangle KJF is a right triangle. d) Triangle KJF is not equiangular.
Geometry Unit 2 Exam Review Name: 1. Triangles ABC and PQR are congruent. Which statement about the triangles is true? a) A R b) C R c) AB RQ d) CB PQ 2. Which figure contains two congruent triangles?
More informationGeometry Chapter 1 TEST * Required
Geometry Chapter 1 TEST * Required Vocabulary Match each word with the correct definition or description. 1. Plane * A flat surface extending indefinitely The two rays that from an angle Exactly one of
More information1.1 IDENTIFY POINTS, LINES AND PLANES
1.1 IDENTIFY POINTS, LINES AND PLANES OBJECTIVE I WILL KNOW THESE DEFINITIONS AND BE ABLE TO SKETCH THEM: POINT LINE PLANE RAY OPPOSITE RAY COLLINEAR AND COPLANAR POINTS INTERSECTIONS OF TWO LINES AND
More informationGH Midterm Exam Review #1 (Ch 1-4)
Nme Period Due Monday, 11/30. 20 Points for completion. GH Midterm Exam Review #1 (Ch 1-4) 1. If EF=2x 12,FG=3x 15,andEG=23, find the values of x, EF, and FG. The drawing is not to scale. 7. Find the circumference
More informationTools of Geometry 1. X + 9 = 24 2. 25 X = 15 3. X + 3 = -2X -10 4. 3X + 4Y = 2 Place in slope intercept form. 5. Y = ½ X 2 What is the slope? What is the Y- Intercept? Inductive Reasoning is reasoning
More informationChapter 3. Proving Statements in Geometry
3- Inductive Reasoning (pages 95 97). No; triangles may contain a right or obtuse 2. Answers will vary. Example: 3 5 2 3. a. Answers will vary. b. 90 c. The sum of the measures of the acute angles of a
More informationName Date Class. 6. In JKLM, what is the value of m K? A 15 B 57 A RS QT C QR ST
Name Date Class CHAPTER 6 Chapter Review #1 Form B Circle the best answer. 1. Which best describes the figure? 6. In JKLM, what is the value of m K? A regular convex heptagon B irregular convex heptagon
More informationGeometry Midterm Review Mr. Pisciotta
Geometry Midterm Review 2016-2017 Mr. Pisciotta Chapter 1: Essentials of Geometry Sections 1.1 1.5 1.1 Points, Lines and Planes 1.2 Use segments and Congruence 1.3 Midpoint and Distance Formulas -Be able
More informationChapter 1-2 Points, Lines, and Planes
Chapter 1-2 Points, Lines, and Planes Undefined Terms: A point has no size but is often represented by a dot and usually named by a capital letter.. A A line extends in two directions without ending. Lines
More informationGeometry Level 1 Midterm Review Packet. I. Geometric Reasoning (Units 1 & 2) Circle the best answer.
Geometry Level 1 Midterm Review Packet I. Geometric Reasoning (Units 1 & 2) Circle the best answer. 1. If two planes intersect, then they intersect in exactly one. A segment B line C point D ray 2. Which
More informationChapter 1: Foundations for Geometry/Review Assignment Sheet
Chapter 1: Foundations for Geometry/Review Assignment Sheet # Name Completed? 1 Pythagorean Theorem 2 Notes: Points, Lines Planes and Angles 3 1-1 Practice B and C 4 Measuring Segments and Angles 5 Measuring
More informationGEOMETRY PRACTICE TEST END OF COURSE version A (MIXED) 2. Which construction represents the center of a circle that is inscribed in a triangle?
GEOMETRY PRACTICE TEST END OF COURSE version A (MIXED) 1. The angles of a triangle are in the ratio 1:3:5. What is the measure, in degrees, of the largest angle? A. 20 B. 30 C. 60 D. 100 3. ABC and XYZ
More informationTRIANGLE RELATIONSHIPS Chapter 5 Unit 7. Geometry- Rushing. Name. Hour
TRIANGLE RELATIONSHIPS Chapter 5 Unit 7 Geometry- Rushing Name Hour 0 I can 5.1 Bisectors of Triangles 1. Identify and use perpendicular bisectors in triangles. 2. Identify and use angle bisectors in triangles.
More informationTest Review: Geometry I TEST DATE: ALL CLASSES TUESDAY OCTOBER 6
Test Review: Geometry I TEST DATE: ALL CLASSES TUESDAY OCTOBER 6 Notes to Study: Notes A1, B1, C1, D1, E1, F1, G1 Homework to Study: Assn. 1, 2, 3, 4, 5, 6, 7 Things it would be a good idea to know: 1)
More informationA point is pictured by a dot. While a dot must have some size, the point it represents has no size. Points are named by capital letters..
Chapter 1 Points, Lines & Planes s we begin any new topic, we have to familiarize ourselves with the language and notation to be successful. My guess that you might already be pretty familiar with many
More informationUnit 3. Chapter 1. Foundations of Geometry. Name. Hour
Unit 3 Chapter 1 Foundations of Geometry Name Hour 1 Geometry Unit 3 Foundations of Geometry Chapter 1 Monday October 1 Tuesday October 2 1.1 Understanding Points, Lines, & Planes 1.2 Linear Measure DHQ
More informationSection 1.1 Notes. Points - have no size or dimension and named using capital letters A
Section 1.1 Notes Building Blocks of Geometry Undefined Terms: Points - have no size or dimension and named using capital letters A Lines - have no thickness (1D) and extend forever. Named using 2 points
More informationGeometry-Chapter 2 Notes
2.1 Perpendicularity Geometry-Chapter 2 Notes Vocabulary: perpendicular symbol parallel symbol Definition #16 Lines, rays or segments that intersect at right angles are perpendicular. Examples and label
More informationACP GEOMETRY MIDTERM REVIEW
Chapter 1 Review ACP GEOMETRY MIDTERM REVIEW 1. Find the next two terms in the sequence: a) 384, 192, 96, 48,. b) -4, -8, 24, 48, -144,, 1 1 1 1 c),,,,, 4 16 64 256 2. Which is the next figure in the sequence?
More informationEuclid. Father of Geometry Euclidean Geometry Euclid s Elements
Euclid Father of Geometry Euclidean Geometry Euclid s Elements Point Description Indicates a location and has no size. How to Name it You can represent a point by a dot and name it by a capital letter.
More informationcontains P. d) M contains YX. e) A is on b. f) A and X are in M. g) N contains P. h) AX ends at X. i) YX contains 3 points.
Geometry Practice Test Unit 1 Foundations of Geometry (G.CO.A.1, G.CO.D.12, 8.G.B.8, G.GPE.B.4, G.GPE.B.6, G.CO.C.9) Name: Date: Pd: 1) Euclid was the first mathematician of his time to use the axiomatic
More informationName Date Class. Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are congruent.
SKILL 43 Angle Relationships Example 1 Adjacent angles are pairs of angles that share a common vertex and a common side. Vertical angles are opposite angles formed by the intersection of two lines. Vertical
More informationCN#6 Objectives. Vocabulary 9/21/18. coordinate plane leg hypotenuse
CN#6 Objectives G-GPE 7 7. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. coordinate plane leg hypotenuse Vocabulary Develop
More informationDear Parents/Students,
Dear Parents/Students, In the summer time, many necessary mathematical skills are lost due to the absence of daily exposure. The loss of skills may result in a lack of success and unnecessary frustration
More informationUnit 1: Tools of Geometry / Reasoning and Proof
Date Period Unit 1: Tools of Geometry / Reasoning and Proof Day Topic 1 Points, Lines and Planes 2 Segments, Rays, Parallel Lines and Planes 3 Measuring Segments 4 Measuring Angles Basic Constructions
More informationChapter 1. Essentials of Geometry
Chapter 1 Essentials of Geometry 1.1 Identify Points, Lines, and Planes Objective: Name and sketch geometric figures so you can use geometry terms in the real world. Essential Question: How do you name
More informationChapter 1 Tools of Geometry
Chapter 1 Tools of Geometry Goals: 1) learn to draw conclusions based on patterns 2) learn the building blocks for the structure of geometry 3) learn to measure line segments and angles 4) understand the
More informationGeometry 1 st Semester Exam REVIEW Chapters 1-4, 6. Your exam will cover the following information:
Geometry 1 st Semester Exam REVIEW Chapters 1-4, 6 Your exam will cover the following information: Chapter 1 Basics of Geometry Chapter 2 Logic and Reasoning Chapter 3 Parallel & Perpendicular Lines Chapter
More informationSection 4-1 Congruent Figures. Objectives: recognize congruent figures and their corresponding parts
Section 4-1 Congruent Figures Objectives: recognize congruent figures and their corresponding parts Congruent Polygons Congruent Polygons have congruent corresponding parts Congruent sides Congruent Angles
More informationModeling with Geometry
Modeling with Geometry 6.3 Parallelograms https://mathbitsnotebook.com/geometry/quadrilaterals/qdparallelograms.html Properties of Parallelograms Sides A parallelogram is a quadrilateral with both pairs
More informationReteach. Congruence and Transformations
Congruence and Transformations TYPES OF TRANSFORMATIONS (centered at (0, 0)) Translation (slide): (x, y) (x a, y b) Reflection y-axis: (x, y) ( x, y) x-axis: (x, y) (x, y) Rotation 90 clockwise: (x, y)
More informationREVIEW: Find the value of the variable and the measures of all of the angles
Name: Period: Geometry Honors Unit 3: Congruency Homework Section 3.1: Congruent Figures Can you conclude that the triangles are congruent? Justify your answer. 1. ΔGHJ and ΔIHJ 2. ΔQRS and ΔTVS 3. ΔFGH
More informationChapter 2 Diagnostic Test
Chapter Diagnostic Test STUDENT BOOK PAGES 68 7. Calculate each unknown side length. Round to two decimal places, if necessary. a) b). Solve each equation. Round to one decimal place, if necessary. a)
More informationMaharashtra Board Class IX Mathematics (Geometry) Sample Paper 1 Solution
Maharashtra Board Class IX Mathematics (Geometry) Sample Paper 1 Solution Time: hours Total Marks: 40 Note: (1) All questions are compulsory. () Use of a calculator is not allowed. 1. i. In the two triangles
More informationVocabulary: Hubcaps, Kaleidoscopes and Mirrors
Vocabulary: Hubcaps, Kaleidoscopes and Mirrors Concept Two related ideas: Symmetry and Transformation. Symmetry is a property of some designs or shapes. A design either has symmetry or does not. For example,
More informationHonors Midterm Review
Name: Date: 1. Draw all lines of symmetry for these shapes. 4. A windmill has eight equally-spaced blades that rotate in the clockwise direction. 2. Use the figure below to answer the question that follows.
More information2.1 Length of a Line Segment
.1 Length of a Line Segment MATHPOWER TM 10 Ontario Edition pp. 66 7 To find the length of a line segment joining ( 1 y 1 ) and ( y ) use the formula l= ( ) + ( y y ). 1 1 Name An equation of the circle
More informationCongruent Triangles Triangles. Warm Up Lesson Presentation Lesson Quiz. Holt Geometry. McDougal Geometry
Triangles Warm Up Lesson Presentation Lesson Quiz Holt Geometry McDougal Geometry Warm Up 1. Name all sides and angles of FGH. FG, GH, FH, F, G, H 2. What is true about K and L? Why? ;Third s Thm. 3. What
More informationMath-2 Lesson 8-6 Unit 5 review -midpoint, -distance, -angles, -Parallel lines, -triangle congruence -triangle similarity -properties of
Math- Lesson 8-6 Unit 5 review -midpoint, -distance, -angles, -Parallel lines, -triangle congruence -triangle similarity -properties of parallelograms -properties of Isosceles triangles The distance between
More informationGeometry Semester 1 Final Review Part 1 (Units 1 3)
Name: Date: Block: Geometry Semester 1 Final Review Part 1 (Units 1 3) Unit 1 (Holt Sections 1-1 1-5) 1. Draw and label each of the following. a) a line containing points R and S. b) a ray with endpoint
More informationUnit 5 Triangle Congruence
Unit 5 Triangle Congruence Day Classwork Homework Wednesday 10/25 Unit 4 Test D1 - Proving SAS through Rigid Motions Watch Video Thursday 10/26 Friday 10/27 Monday 10/30 Proving SAS through Rigid Motions
More informationGet Ready. Solving Equations 1. Solve each equation. a) 4x + 3 = 11 b) 8y 5 = 6y + 7
Get Ready BLM... Solving Equations. Solve each equation. a) 4x + = 8y 5 = 6y + 7 c) z+ = z+ 5 d) d = 5 5 4. Write each equation in the form y = mx + b. a) x y + = 0 5x + y 7 = 0 c) x + 6y 8 = 0 d) 5 0
More informationGeometry ~ Chapter 1 Capacity Matrix
Geometry ~ Chapter 1 Capacity Matrix Learning Targets 1. Drawing and labeling the Geometry Vocabulary 2. Using the distance and midpoint formula 3. Classifying triangles and polygons Section Required Assignments
More informationLesson 8: Angle Angle Similarity
: Angle Angle Similarity Learning Targets I can use the AA criteria to solve for missing angles or sides in triangle problems. I can prove two triangles to be similar by using Angle - Angle criteria Writing
More informationGeometry Chapter 1 Basics of Geometry
Geometry Chapter 1 asics of Geometry ssign Section Pages Problems 1 1.1 Patterns and Inductive Reasoning 6-9 13-23o, 25, 34-37, 39, 47, 48 2 ctivity!!! 3 1.2 Points, Lines, and Planes 13-16 9-47odd, 55-59odd
More informationGH Midterm Exam Review #2 (Ch 4-7 and Constructions)
Name Period ID: A GH Midterm Exam Review #2 (Ch 4-7 and Constructions) 1. Name the smallest angle of ABC. The diagram is not to scale. 7. Find the missing values of the variables. The diagram is not to
More informationACP GEOMETRY MIDTERM REVIEW 17/18
ACP GEOMETRY MIDTERM REVIEW 17/18 Chapter 1 Tools of Geometry 1. The distance between the two points is. 2. Identify what each of the following means: a) AB b) AB c) AB d) AB 3. Use the figure to answer
More information