Parallel Lines Cut by a Transversal. ESSENTIAL QUESTION What can you conclude about the angles formed by parallel lines that are cut by a transversal?
|
|
|
- Milo Lyons
- 5 years ago
- Views:
Transcription
1 ? LSSON 7.1 Parallel Lines ut by a Transversal SSNTIL QUSTION What can you conclude about the angles formed by parallel lines that are cut by a transversal? xpressions, equations, and relationships Use informal arguments to establish facts about the angles created when parallel lines are cut by a transversal, XPLOR TIVITY 1 Parallel Lines and Transversals transversal is a line that intersects two lines in the same plane at two different points. Transversal t and lines a and b form eight angles. a b t xterior Interior xterior ngle Pairs Formed by a Transversal Use geometry software to explore the angles formed when a transversal intersects parallel lines. Term orresponding angles lie on the same side of the transversal t, on the same side of lines a and b. lternate interior angles are nonadjacent angles that lie on opposite sides of the transversal t, between lines a and b. lternate exterior angles lie on opposite sides of the transversal t, outside lines a and b. Same-side interior angles lie on the same side of the transversal t, between lines a and b. onstruct a line and label two points on the line and. reate point not on. Then construct a line parallel to through point. reate another point on this line and label it. xample 1 and 5 3 and 6 1 and 8 3 and 5 File dit isplay onstruct Transform Measure Graph Window Help Lesson
2 XPLOR TIVITY 1 (cont d) reate two points outside the two parallel lines and label them and F. onstruct transversal F. Label the points of intersection G and H. Measure the angles formed by the parallel lines and the transversal. Write the angle measures in the table below. File dit isplay onstruct Transform Measure Graph Window Help G H F rag point or point F to a different position. Record the new angle measures in the table. ngle G G GH GH HG HG HF HF Measure Measure Reflect Make a onjecture Identify the pairs of angles in the diagram. Then make a conjecture about their angle measures. rag a point in the diagram to confirm your conjecture. 1. corresponding angles 2. alternate interior angles 3. alternate exterior angles 4. same-side interior angles 194 Unit 3
3 XPLOR TIVITY 2 Justifying ngle Relationships You can use tracing paper to informally justify your conclusions from the first xplore ctivity. Lines a and b are parallel. (The black arrows on the diagram indicate parallel lines.) Trace the diagram onto tracing paper. Position the tracing paper over the original diagram so that 1 on the tracing is over 5 on the original diagram. ompare the two angles. o they appear to be congruent? b a t Recall that vertical angles are the opposite angles formed by two intersecting lines. 1 and 4 are vertical angles. Use the tracing paper to compare all eight angles in the diagram to each other. List all of the congruent angle pairs. Finding Unknown ngle Measures You can find any unknown angle measure when two parallel lines are cut by a transversal if you are given at least one other angle measure. XMPL 1 Find m 2 when m 7 = is congruent to 7 because they are alternate exterior angles. Therefore, m 2 = 125. Find m VWZ. VWZ is supplementary to YVW because they are same-side interior angles. m VWZ + m YVW = 180 S V U 6x T W 3x Z X Y Math On the Spot nimated Math Lesson
4 From the previous page, m VWZ + m YVW = 180, m VWZ = 3x, and m YVW = 6x. m VWZ + m YVW = 180 3x + 6x = 180 Replace m VWZ with 3x and m YVW with 6x. 9x = 180 ombine like terms. 9x 9 = ivide both sides by 9. Simplify. x = 20 m VWZ = 3x = (3 20) = 60 YOUR TURN Personal Math Trainer Online ssessment and Intervention Find each angle measure. 5. m G = 6. m F = 7. m G = 4x 6x F G H Guided Practice Use the figure for xercises 1 4. (xplore ctivity 1 and xample 1) 1. UVY and are a pair of corresponding angles. 2. WVY and VWT are angles. S V 4x U Y? 3. Find m SVW. 4. Find m VWT. 5. Vocabulary When two parallel lines are cut by a transversal, SSNTIL QUSTION HK-IN angles are supplementary. (xplore ctivity 1) 6. What can you conclude about the interior angles formed when two parallel lines are cut by a transversal? T 5x W Z X 196 Unit 3
5 Name lass ate 7.1 Independent Practice Personal Math Trainer Online ssessment and Intervention Vocabulary Use the figure for xercises Name all pairs of corresponding angles. 8. Name both pairs of alternate exterior angles. 9. Name the relationship between 3 and Name the relationship between 4 and 6. Find each angle measure. 11. m G when m FH = m GH when m HF = m HF when m G = m HG when m HG = m GH = G 3x (2x + 50) H F 16. m GH = 17. The ross ountry ike Trail follows a straight line where it crosses 350th and 360th Streets. The two streets are parallel to each other. What is the measure of the larger angle formed at the intersection of the bike trail and 360th Street? xplain. 18. ritical Thinking How many different angles would be formed by a transversal intersecting three parallel lines? How many different angle measures would there be? Lesson
6 19. ommunicate Mathematical Ideas In the diagram at the right, suppose m 6 = 125. xplain how to find the measures of each of the other seven numbered angles. FOUS ON HIGHR ORR THINKING Work rea 20. raw onclusions In a diagram showing two parallel lines cut by a transversal, the measures of two same-side interior angles are both given as 3x. Without writing and solving an equation, can you determine the measures of both angles? xplain. Then write and solve an equation to find the measures. 21. Make a onjecture raw two parallel lines and a transversal. hoose one of the eight angles that are formed. How many of the other seven angles are congruent to the angle you selected? How many of the other seven angles are supplementary to your angle? Will your answer change if you select a different angle? 22. ritique Reasoning In the diagram at the right, 2, 3, 5, and 8 are all congruent, and 1, 4, 6, and 7 are all congruent. iden says that this is enough information to conclude that the diagram shows two parallel lines cut by a transversal. Is he correct? Justify your answer Unit 3
UNIT 5 Measurement Geometry
UNIT 5 Measurement Geometry MOUL MOUL 11 ngle Relationships in Parallel Lines and Triangles MOUL MOUL 12 The Pythagorean Theorem 8.G.2.6, 8.G.2.7, 8.G.2.8 13 Volume MOUL MOUL 8.G.3.9 RRS IN MTH Image redits:
Angle Theorems for Triangles 8.8.D
? LSSON 7.2 ngle Theorems for Triangles SSNTIL QUSTION xpressions, equations, and relationships 8.8. Use informal arguments to establish facts about the angle sum and exterior angle of triangles, What
ESSENTIAL QUESTION How can you determine when two triangles are similar? 8.8.D
? LESSON 7.3 ngle-ngle Similarity ESSENTIL QUESTION How can you determine when two triangles are similar? Expressions, equations, and relationships 8.8.D Use informal arguments to establish facts about
9.1 Angle Relationships
? LESSON 9.1 ngle Relationships ESSENTIL QUESTION How can you use angle relationships to solve problems? Equations, epressions, and relationships 7.11. Write and solve equations using geometry concepts,
Properties of Reflections 8.10.A. What is the line of reflection for this transformation?
? LSSN 12.2 SSNTIL QUSTIN Properties of Reflections How do ou describe the properties of orientation and congruence of reflections? Two-dimensional shapes 8.10. Generalize the properties of orientation
Properties of Rotations 8.10.A. Sketch the image of the rotation. Label the images of points A, B, and C as A, B, and C.
? LESSON 1.3 ESSENTIL QUESTION Properties of Rotations How do ou describe the properties of orientation and congruence of rotations? Two-dimensional shapes 8.10. Generalize the properties of orientation
If lines m and n are parallel, we write. Transversal: A line that INTERSECTS two or more lines at 2
Unit 4 Lesson 1: Parallel Lines and Transversals Name: COMPLEMENTARY are angles to add up to 90 SUPPLEMENTARY are angles to add up to 180 These angles are also known as a LINEAR PAIR because they form
Geometry Tutor Worksheet 4 Intersecting Lines
Geometry Tutor Worksheet 4 Intersecting Lines 1 Geometry Tutor - Worksheet 4 Intersecting Lines 1. What is the measure of the angle that is formed when two perpendicular lines intersect? 2. What is the
8.G.1c. Trace triangle ABC onto a piece of paper. Cut out your traced triangle.
? LESSON 9.3 Properties of Rotations ESSENTIL QUESTION 8.G.1c Verif eperimentall the properties of rotations, reflections, and translations: Parallel lines are taken to parallel lines. lso 8.G.1a, 8.G.1b,
SAS Triangle Congruence
Locker LSSON 5.3 SS Triangle ongruence Texas Math Standards The student is expected to: G.6. Prove two triangles are congruent by applying the Side-ngle-Side, ngle-side-ngle, Side-Side-Side, ngle-ngle-side,
When two (or more) parallel lines are cut by a transversal, the following angle relationships are true:
Lesson 8: Parallel Lines Two coplanar lines are said to be parallel if they never intersect. or any given point on the first line, its distance to the second line is equal to the distance between any other
SUGGESTED LEARNING STRATEGIES:
Two-olumn Proofs Now I'm onvinced SUGGST LRNING STRTGIS: lose Reading, ctivating Prior Knowledge, Think/Pair/Share proof is an argument, a justification, or a reason that something is true. proof is an
Maintaining Mathematical Proficiency
Chapter 3 Maintaining Mathematical Proficiency Find the slope of the line.. y. y 3. ( 3, 3) y (, ) (, ) x x (, ) x (, ) ( 3, 3)... (, ) y (0, 0) 8 8 x x 8 8 y (, ) (, ) y (, ) (, 0) x Write an equation
ASA Triangle Congruence
Locker LSSON 5.2 S Triangle ongruence Texas Math Standards The student is expected to: G.6. Prove two triangles are congruent by applying the Side-ngle-Side, ngle-side-ngle, Side-Side-Side, ngle-ngle-side,
Hartmann HONORS Geometry Chapter 3 Formative Assessment * Required
Hartmann HONORS Geometry Chapter 3 Formative Assessment * Required 1. First Name * 2. Last Name * Vocabulary Match the definition to the vocabulary word. 3. Non coplanar lines that do not intersect. *
2.7 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
of translations of ESSENTIAL QUESTION How do you describe the properties of orientation and congruence of translations?
? LESSN 12.1 Properties of Translations ESSENTIL QUESTIN How do ou describe the properties of orientation and congruence of translations? Two-dimensional shapes 8.10. Generalize the properties of orientation
Identify parallel lines, skew lines and perpendicular lines.
Learning Objectives Identify parallel lines, skew lines and perpendicular lines. Parallel Lines and Planes Parallel lines are coplanar (they lie in the same plane) and never intersect. Below is an example
First Nations people use a drying rack to dry fish and animal hides. The drying rack in this picture is used in a Grade 2 classroom to dry artwork.
7.1 ngle roperties of Intersecting Lines Focus Identify and calculate complementary, supplementary, and opposite angles. First Nations people use a drying rack to dry fish and animal hides. The drying
Finding Measures of Angles Formed by Transversals Intersecting Parallel Lines
Lesson 22 Finding Measures of Angles Formed by Transversals Intersecting Parallel Lines 8.G.5 1 Getting the idea The figure below shows two parallel lines, j and k. The parallel lines,, are intersected
Essential 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
5.2 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
Line: It s a straight arrangement of points that extends indefinitely in opposite directions.
More Terminology and Notation: Plane: It s an infinitely large flat surface. Line: It s a straight arrangement of points that extends indefinitely in opposite directions. ollinear Points: Points that lie
11.4 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
In this chapter, you will learn:
In this chapter, you will learn: > Find the measurements of missing angles made by a line that intersects parallel lines. > Find unknown angles inside and outside of triangles. > Determine if two triangles
What could be the name of the plane represented by the top of the box?
hapter 02 Test Name: ate: 1 Use the figure below. What could be the name of the plane represented by the top of the box? E F I 2 Use the figure below. re points,, and E collinear or noncollinear? noncollinear
11.4 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
SAS Triangle Congruence
OMMON OR Locker LSSON 5.3 SS Triangle ongruence Name lass ate 5.3 SS Triangle ongruence ssential Question: What does the SS Triangle ongruence Theorem tell you about triangles? ommon ore Math Standards
1-5. Skills Practice. Angle Relationships. Lesson 1-5. ALGEBRA For Exercises 9 10, use the figure at the right.
M IO kills ractice ngle elationships or xercises 6, use the figure at the right. ame an angle or angle pair that satisfies each condition.. ame two acute vertical angles. 2. ame two obtuse vertical angles.
Essential Question: What does the AAS Triangle Congruence Theorem tell you about two triangles? Explore Exploring Angle-Angle-Side A C E F
OMMON OR G G Locker LSSON 6. S Triangle ongruence Name lass ate 6. S Triangle ongruence ssential Question: What does the S Triangle ongruence Theorem tell ou about two triangles? ommon ore Math Standards
Theorem (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,
7.4. Properties of Special Parallelograms For use with Exploration 7.4. Essential Question What are the properties of the diagonals of
Name ate 7.4 Properties of Special Parallelograms For use with xploration 7.4 ssential Question What are the properties of the diagonals of rectangles, rhombuses, and squares? 1 XPLORTION: Identifying
3-1 Study Guide Parallel Lines and Transversals
3-1 Study Guide Parallel Lines and Transversals Relationships Between Lines and Planes When two lines lie in the same plane and do not intersect, they are parallel. Lines that do not intersect and are
Points, Lines, and Planes 1.1
Points, Lines, and Planes 1.1 Point a location ex. write as: Line made up of points and has no thickness or width. ex. c write as:, line c ollinear points on the same line. Noncollinear points not on the
Maintaining 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
Essential Question How can you describe angle pair relationships and use these descriptions to find angle measures?
1.6 escribing Pairs of ngles OMMON OR Learning Standard HSG-O..1 ssential Question How can you describe angle pair relationships and use these descriptions to find angle measures? Finding ngle Measures
Maintaining 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,
Representations of Dilations 8.G.1.3
? L E S S N 10. lgebraic Representations of Dilations ESSENTIL QUESTIN.G.1.3 Describe the effect of dilations, on twodimensional figures using coordinates. How can ou describe the effect of a dilation
Properties of Rotations 8.10.A. Sketch the image of the rotation. Label the images of points A, B, and C as A, B, and C.
? LESSN 1.3 ESSENTIL QUESTIN Properties of Rotations How do ou describe the properties of orientation and congruence of rotations? Two-dimensional shapes 8.10. Generalize the properties of orientation
Congruence and Similarity in Triangles. INVESTIGATE the Math. as shown in Colin s design. Explain how you know they are similar.
7.1 ongruence and Similarity in Triangles YOU WILL N dynamic geometry software, or ruler and protractor GOL Investigate the relationships between corresponding sides and angles in pairs of congruent and
Parallel Lines: Two lines in the same plane are parallel if they do not intersect or are the same.
Section 2.3: Lines and Angles Plane: infinitely large flat surface Line: extends infinitely in two directions Collinear Points: points that lie on the same line. Parallel Lines: Two lines in the same plane
Angles of Triangles. Essential Question How are the angle measures of a triangle related?
2. ngles of Triangles Essential Question How are the angle measures of a triangle related? Writing a onjecture ONSTRUTING VILE RGUMENTS To be proficient in math, you need to reason inductively about data
Angle Geometry. Lesson 18
Angle Geometry Lesson 18 Lesson Eighteen Concepts Specific Expectations Determine, through investigation using a variety of tools, and describe the properties and relationships of the interior and exterior
In 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
First published in 2013 by the University of Utah in association with the Utah State Office of Education.
First published in 013 by the University of Utah in association with the Utah State Office of Education. opyright 013, Utah State Office of Education. Some rights reserved. This work is published under
9.2 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...
9 LESSON 9.1. Transformations and Congruence. Properties of Translations ESSENTIAL QUESTION
Transformations and ongruence? MULE 9 LESSN 9.1 ESSENTIL QUESTIN Properties of Translations How can ou use transformations and congruence to solve realworld problems? 8.G.1, 8.G.3 LESSN 9. Properties of
Essential 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
5.4. 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
Proving 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
Agenda * Sign up for Quizlet Class * Parallel Lines & Transversals Notes
Agenda * Sign up for Quizlet Class * Parallel Lines & Transversals Notes Objective: Students analyze parallel lines cut by a transversal and the angle relationships that are formed 1) Scan QR Code 2) Login
Unit 5, Lesson 5.2 Proving Theorems About Angles in Parallel Lines Cut by a Transversal
Unit 5, Lesson 5.2 Proving Theorems About Angles in Parallel Lines Cut by a Transversal Think about all the angles formed by parallel lines intersected by a transversal. What are the relationships among
Postulates and Diagrams
2.3 ostulates and iagrams ssential uestion In a diagram, what can be assumed and what needs to be labeled? Looking at a iagram Work with a partner. On a piece of paper, draw two perpendicular lines. Label
Maintaining Mathematical Proficiency
Name ate hapter 7 Maintaining Mathematical Proficiency Solve the equation by interpreting the expression in parentheses as a single quantity. 1. 5( 10 x) = 100 2. 6( x + 8) 12 = 48 3. ( x) ( x) 32 + 42
Angles formed by Parallel Lines
Worksheet Answers 1. a = 60, b = 120, c = 120 2. a = 90, b = 90, c = 50 3. a = 77, b = 52, c = 77, d = 51 4. a = 60, b = 120, c = 120, d= 115, e = 65, f =115, g = 125, h =55, I =125 5. a = 90, b = 163,
Unit 2A: Angle Pairs and Transversal Notes
Unit 2A: Angle Pairs and Transversal Notes Day 1: Special angle pairs Day 2: Angle pairs formed by transversal through two nonparallel lines Day 3: Angle pairs formed by transversal through parallel lines
Unit 8 Chapter 3 Properties of Angles and Triangles
Unit 8 Chapter 3 Properties of Angles and Triangles May 16 7:01 PM Types of lines 1) Parallel Lines lines that do not (and will not) cross each other are labeled using matching arrowheads are always the
14.2 Angles in Inscribed Quadrilaterals
Name lass ate 14.2 ngles in Inscribed Quadrilaterals Essential Question: What can you conclude about the angles of a quadrilateral inscribed in a circle? Explore G.12. pply theorems about circles, including
5.4 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
Geometry Unit 3 Equations of Lines/Parallel & Perpendicular Lines
Geometry Unit 3 Equations of Lines/Parallel & Perpendicular Lines Lesson Parallel Lines & Transversals Angles & Parallel Lines Slopes of Lines Assignment 174(14, 15, 20-37, 44) 181(11-19, 25, 27) *TYPO
Transformations and Similarity
Transformations and Similarit? MDULE 10 LESSN 10.1 ESSENTIL QUESTIN Properties of Dilations How can ou use dilations and similarit to solve real-world problems? 8.G.3, 8.G. LESSN 10. lgebraic Representations
Essential Question What are some properties of trapezoids and kites? Recall the types of quadrilaterals shown below.
7.5 Properties of Trapezoids and ites ssential Question What are some properties of trapezoids and kites? ecall the types of quadrilaterals shown below. Trapezoid Isosceles Trapezoid ite PV I OVI PO To
5.3 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
Ms. Nassif Mathematics. Guide. 2- Correction key. Example of an appropriate method. Area of the base. Volume of water
1 2 2- orrection key Example of an appropriate method rea of the base Volume of water 568416 - Mathematics Guide 2 ( 19 16)( 19 12)( 19 10) = 3591 59.924... m 19 = rea of the base height 59.924 2 = 119.84
Corresponding Parts of Congruent Figures Are Congruent
OMMON OR Locker LSSON 3.3 orresponding arts of ongruent igures re ongruent Name lass ate 3.3 orresponding arts of ongruent igures re ongruent ssential Question: What can you conclude about two figures
7.3 Triangle Inequalities
Locker LESSON 7.3 Triangle Inequalities Name lass Date 7.3 Triangle Inequalities Teas Math Standards The student is epected to: G.5.D Verify the Triangle Inequality theorem using constructions and apply
3-2 Proving Lines Parallel. Objective: Use a transversal in proving lines parallel.
3-2 Proving Lines Parallel Objective: Use a transversal in proving lines parallel. Objectives: 1) Identify angles formed by two lines and a transversal. 2) Prove and use properties of parallel. Page 132
Work 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
Geometry Definitions, Postulates, and Theorems. Chapter 3: Parallel and Perpendicular Lines. Section 3.1: Identify Pairs of Lines and Angles.
Geometry Definitions, Postulates, and Theorems Chapter : Parallel and Perpendicular Lines Section.1: Identify Pairs of Lines and Angles Standards: Prepare for 7.0 Students prove and use theorems involving
Skills Practice Skills Practice for Lesson 3.1
Skills Practice Skills Practice for Lesson.1 Name ate onstellations Naming, Measuring, and lassifying ngles Vocabulary Write the term from the box that best completes each statement. point line segment
6.2 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
Geometry. Slide 1 / 190 Slide 2 / 190. Slide 4 / 190. Slide 3 / 190. Slide 5 / 190. Slide 5 (Answer) / 190. Angles
Slide 1 / 190 Slide 2 / 190 Geometry ngles 2015-10-21 www.njctl.org Slide 3 / 190 Table of ontents click on the topic to go to that section Slide 4 / 190 Table of ontents for Videos emonstrating onstructions
c. Will this coordinate rule hold true for any figure reflected over the x-axis? Why or why not?
9.1b lass ctivity: Properties of Reflections 1. In the grid below, has been reflected over the y-axis to obtain. 10 a. Describe the movement of a figure that has been reflected. ' b. In the table below,
Geo 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
Maintaining Mathematical Proficiency
Name ate hapter 6 Maintaining Mathematical Proficiency Write an equation of the line passing through point P that is perpendicular to the given line. 1. P(5, ), y = x + 6. P(4, ), y = 6x 3 3. P( 1, ),
Parallel Lines and Transversals. Students will learn how to find the measures of alternate interior angles and same-side interior angles.
Parallel Lines and Transversals Students will learn how to find the measures of alternate interior angles and same-side interior angles. Parallel Lines and Transversals When a pair of parallel lines are
20.1 Exploring What Makes Triangles Congruent
ame lass ate 20.1 xploring What akes Triangles ongruent ssential Question: How can you show that two triangles are congruent? esource ocker xplore Transforming Triangles with ongruent orresponding arts
Thank you for purchasing Parallel Lines Cut by a Transversal ~ Notes & Worksheets ~
Thank you for purchasing Parallel Lines Cut by a Transversal ~ Notes & Worksheets ~ If you enjoyed this product or have advice on a way to improve it please take the time to leave a review! You earn TPT
Notes Formal Geometry Chapter 3 Parallel and Perpendicular Lines
Name Date Period Notes Formal Geometry Chapter 3 Parallel and Perpendicular Lines 3-1 Parallel Lines and Transversals and 3-2 Angles and Parallel Lines A. Definitions: 1. Parallel Lines: Coplanar lines
CK-12 Geometry: Properties of Parallel Lines
CK-12 Geometry: Properties of Parallel Lines Learning Objectives Use the Corresponding Angles Postulate. Use the Alternate Interior Angles Theorem. Use the Alternate Exterior Angles Theorem. Use Same Side
Review Test 1 Chapters 1 & 2 and Appendix L
Math 61 pring 2009 Review Test 1 hapters 1 & 2 and ppendix L www.timetodare.com 1 To prepare for the test, learn all definitions, be familiar with all theorems and postulates, study all exercises and theorems
15.2 Angles in Inscribed Quadrilaterals
Name lass ate 15.2 ngles in Inscribed Quadrilaterals Essential Question: What can you conclude about the angles of a quadrilateral inscribed in a circle? Resource Locker Explore Investigating Inscribed
Geometry Review. Line CD is drawn perpendicular to Line BC.
Geometry Review Geometry is the original mathematics! Way before x and y s and all that algebra stuff! You will find that geometry has many definitions and exact vocabulary! Knowing the meaning of words
GEOMETRY R Unit 2: Angles and Parallel Lines
GEOMETRY R Unit 2: Angles and Parallel Lines Day Classwork Homework Friday 9/15 Unit 1 Test Monday 9/18 Tuesday 9/19 Angle Relationships HW 2.1 Angle Relationships with Transversals HW 2.2 Wednesday 9/20
Unit 1, Lesson 1: Moving in the Plane
Unit 1, Lesson 1: Moving in the Plane Let s describe ways figures can move in the plane. 1.1: Which One Doesn t Belong: Diagrams Which one doesn t belong? 1.2: Triangle Square Dance m.openup.org/1/8-1-1-2
Parallel Lines & Transversals
Parallel Lines & Transversals Parallel Lines and Transversals What would you call two lines which do not intersect? Parallel A C Interior B D A solid arrow placed on two lines of a diagram indicate the
Parallel Lines cut by a Transversal Notes, Page 1
Angle Relationships Review 2 When two lines intersect, they form four angles with one point in 1 3 common. 4 Angles that are opposite one another are VERTIAL ANGLES. Some people say instead that VERTIAL
3 John likes to experiment with geometric. 4 Which of the following conjectures is true for
1 Rectangle ABCD is drawn on a coordinate plane. Each angle measures 90. The rectangle is reflected across the y axis, translated 9 units down, and then rotated 180 clockwise about the origin. What would
7.2 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
describes 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
Work 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
GEOMETRY APPLICATIONS
GEOMETRY APPLICATIONS Chapter 3: Parallel & Perpendicular Lines Name: Teacher: Pd: 0 Table of Contents DAY 1: (Ch. 3-1 & 3-2) SWBAT: Identify parallel, perpendicular, and skew lines. Identify the angles
1-4. Study Guide and Intervention. Angle Measure
IO 1-4 tudy Guide and Intervention ngle easure easure ngles If two noncollinear rays have a common endpoint, they form an angle. he rays are the sides of the angle. he common endpoint is the vertex. he
D AC BC AB BD m ACB m BCD. g. Look for a pattern of the measures in your table. Then write a conjecture that summarizes your observations.
OMMON O Learning tandard HG-O..0 6.6 Inequalities in Two Triangles ssential Question If two sides of one triangle are congruent to two sides of another triangle, what can you say about the third sides
Unit 8 Plane Geometry
Unit 8 Plane Geometry Grade 9 pplied Lesson Outline *Note: This unit could stand alone and be placed anywhere in the course. IG PITURE Students will: investigate properties of geometric objects using dynamic
Math-2. Lesson 5-3 Two Column Proofs
Math-2 Lesson 5-3 Two Column Proofs Vocabulary Adjacent Angles have a common side and share a common vertex Vertex. B C D A Common Side A Two-Column Proof is a logical argument written so that the 1st
2 and 6 4 and 8 1 and 5 3 and 7
Geo Ch 3 Angles formed by Lines Parallel lines are two coplanar lines that do not intersect. Skew lines are that are not coplanar and do not intersect. Transversal is a line that two or more lines at different
Name Date. Inscribed Angles and Polygons For use with Exploration arcs? How are the angles of an inscribed quadrilateral related to each other?
Name ate 10.4 Inscribed ngles and Polygons For use with Exploration 10.4 Essential Question How are inscribed angles related to their intercepted arcs? How are the angles of an inscribed quadrilateral
Essential Question How can you measure and classify an angle?
0 1 1.5 easuring and onstructing ngles ssential Question ow can you measure and classify an angle? easuring and lassifying ngles Work with a partner. ind the degree measure of each of the following angles.
Exterior Angle Theorem
7 Exterior ngle Theorem What You ll Learn You ll learn to identify exterior angles and remote interior angles of a triangle and use the Exterior ngle Theorem. Why It s Important Interior Design Designers