Section 4-1 Congruent Polygons

Slides:

Advertisements

Similar presentations

How do we prove triangles congruent using Side-Side-Side Postulate?

Advertisements

Honors Geometry Section 4.1 Congruent Polygons

4-4 Using Congruent Triangles: CPCTC

4-2 Triangle Congruence by SSS and SAS

Proving Triangles Congruent: SSS and SAS

1Geometry Lesson: Congruent Polygons, Triangles, SAS Aim: What are congruent polygons? How do we prove triangles congruent using Side-Angle-Side Postulate?

Chapter 4.6 Notes: Use Congruent Triangles Goal: You will use congruent triangles to prove that corresponding parts are congruent.

4-4 & 4-5: Tests for Congruent Triangles

Chapter 4.5 Notes: Prove Triangles Congruent by ASA and AAS Goal: You will use two more methods to prove congruences.

4.1: CONGRUENT FIGURES Objectives: To recognize congruent figures and their corresponding parts.

Congruent Triangles – Pairs of Triangles Page 11.

Definitions Parallel Lines Two lines are parallel lines if they lie in the same plane and do not intersect.

Date: Topic: Proofs of Triangle Congruence (6.3)

Notes Over Congruence When two polygons are ___________their corresponding parts have the _____ _______. congruent same measure 1. Name the corresponding.

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Warm-up Conditions for Special Quadrilaterals.

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Section 3-1 Symmetry 3.1 Symmetry in Polygons.

Lesson 2.6 p. 109 Proving Statements about Angles Goal: to begin two-column proofs about congruent angles.

Identify Pairs of Lines and Angles

Triangle Congruence by ASA and AAS Chapter 4 Section 3.

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Section 10-1 Tangent Ratios.

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Warm up 1) Find 4.5 Proving Quadrilateral Properties W Y X 2x-6 40°

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Warm up 1.What is the ratio of the corresponding side lengths for two congruent triangles?

Geometry Sections 6.4 and 6.5 Prove Triangles Similar by AA Prove Triangles Similar by SSS and SAS.

Congruent Polygons Sec 6.5 GOALS: To identify congruent polygons.

PROVING LINES PARALLEL. CONVERSE OF  … Corresponding Angles Postulate: If the pairs of corresponding angles are congruent, then the lines are parallel.

4-2 Triangle Congruence by SSS and SAS. Side-Side-Side (SSS) Postulate If the three sides of one triangle are congruent to the three sides of another.

Angle Relationship Proofs. Linear Pair Postulate  Angles which form linear pairs are supplementary.

CHAPTER 4 SECTION 2 Triangle Congruence by SSS and SAS.

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Section 3-3 Parallel lines and Transversals 3.3 Parallel Lines and Transversals.

LINES CUT BY A TRANSVERSAL. 3Geometry Lesson: Proving Lines are Parallel.

4.5 – Prove Triangles Congruent by ASA and AAS In a polygon, the side connecting the vertices of two angles is the included side. Given two angle measures.

Proving Triangles are Congruent: SSS and SAS Sec 4.3

4. 1 Apply Congruence and Triangles 4

4.4 Isosceles Triangles, Corollaries, & CPCTC. ♥Has at least 2 congruent sides. ♥The angles opposite the congruent sides are congruent ♥Converse is also.

Then/Now You identified and used congruent angles. Name and use corresponding parts of congruent polygons. Prove triangles congruent using the definition.

Geometry Sections 4.3 & 4.4 SSS / SAS / ASA

Triangle Congruence by SSS & SAS Objective: To Determine whether triangles are congruent using SSS and SAS postulate.

Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL Angle Side Angle, Angle Angle Side Triangle Congruence.

Objectives Apply ASA, AAS, and HL to construct triangles and to solve problems. Prove triangles congruent by using ASA, AAS, and HL.

Warm Up 1.) Find the measure of the exterior angle.

Prove triangles congruent by ASA and AAS

Bell Ringer 10/21/

Using Triangle Congruence to Prove Sides and Angles Congruent C h. 5-2

Similarity Postulates

5.3 Proving Triangles are congruent:

Proving Triangles Congruent: SSS and SAS

4-2 Triangle Congruence by SSS and SAS

Three ways to prove triangles congruent.

CHAPTER 4: CONGRUENT TRIANGLES

4-2 Triangle Congruence by SSS and SAS

4-4 and 4-5: Congruent Triangle Theorems

4-2 Some Ways to Prove Triangles Congruent (p. 122)

ABC DEF? Is Do Now: When two triangles are congruent:

Aim: Do Now: ( ) A B C D E Ans: S.A.S. Postulate Ans: Ans:

Math Review Equations 1. Solve for x. Explain each step in a proof. Graphing Equations 2. Graph the following equation. Angle Relationships 3. Angles 1.

4.1 Congruent Figures -Congruent Polygons: have corresponding angles and sides -Theorem 4.1: If 2 angles of 1 triangle are congruent to 2 angles of another.

2.6 Proving Statements about Angles

3-2 Properties of Parallel Lines

Section 7-3 Similar Polygons.

Congruent Triangles.

4-1 Congruent Figures 4-2 Triangle Congruence by SSS and SAS

Chapter Three Triangles.

Ex: Given: Prove: CPCTC:

3-2 Proving Lines Parallel

4-4/4-5 Proving Triangles Congruent

Advanced Geometry Section 3.8 The HL Postulate

4-2 Triangle congruence by sss & sas

Proving triangles are congruent: sss and sas

4-1 Congruent Figures 4-2 Triangle Congruence by SSS and SAS

Presentation transcript:

Section 4-1 Congruent Polygons

Terms congruent polygons Two polygons are congruent if and only if corresponding angles are congruent and corresponding sides are congruent

1) Name the following polygon K N 2) How many names are possible for a hexagon?

3) Write corresponding parts B C X Y Z

Polygon Congruence Postulate: 4.1 Congruent Polygons Polygon Congruence Postulate: Two polygons are congruent if and only if there is a correspondence between their sides and angles such that: Corresponding angles and sides are congruent.

Identify all pairs of congruent sides and angles. 4.1 Congruent Polygons 4) Given: ABCD  WXYZ. Identify all pairs of congruent sides and angles.

Proof E Given: EX is the perpendicular bisector Prove: R F X

Assignment Practice 28 Page 213 # 7,8,9,14-21,24,25,29,31 and 32