WARM UP 1)List the six congruencies if the following is true. 2)Plot the points and locate point C so that F(7,5) A(-2,2) T(5,2)

Slides:

Advertisements

Similar presentations

Proving Triangles Congruent

Advertisements

5.4 Hypotenuse – Leg Congruence Theorem: HL

Proving Triangles Congruent

4.6 Congruence in Right Triangles

Hypotenuse – Leg Congruence Theorem: HL

Proving Triangles Congruent

1 MM1G3c Proving Triangles Congruent (AAS, HL). 2 Postulates AAS If two angles and a non included side of one triangle are congruent to the corresponding.

Proving RightTriangles Congruent Free powerpoints at

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

Test For Congruent Triangles. Test 1 3 cm 4 cm 3 cm Given three sides : SSS Two triangles are congruent if the three sides of one triangle are equal to.

Chapter 4: Congruent Triangles Objective: To recognize congruent triangles and their corresponding parts. Key Vocabulary: Congruent Triangles.

Mr. Schaab’s Geometry Class Our Lady of Providence Jr.-Sr. High School

Proving Triangles Congruent. Warm Up Objectives Can you prove triangles congruent using SSS, SAS, ASA, AAS, and HL?

Do Now #28:. 5.4 Hypotenuse-Leg (HL) Congruence Theorem Objective: To use the HL Congruence Theorem and summarize congruence postulates and theorems.

Lesson: 9 – 3 Similar Triangles

Geogebra Warm-up Open a 5.3 geogebra file on scevmath.org.

Geometry 4-5 ASA, AAS, and HL. Vocab. Word An included side is the common side of two consecutive angles in a polygon. (The side in between two angles)

4-6 Congruence in Right Triangles M.11.C B

Geometry 4-3 Triangle Congruence

Proving Triangles Congruent

Congruence in Right Triangles

DO NOW!!! Solve for “x”..

Triangle Congruence by ASA and AAS Chapter 4 Section 3.

GE = 2x – 7 GF = x + 4. What is GD? Solve for the variable Bellringer P 23 top 10 lines.

Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.

Unit 4 Proving Triangles Congruent (SSS, SAS, ASA, AAS, HL)

UNIT 7: CONGRUENT TRIANGLES, AND THEOREMS Final Exam Review.

Unit 2 Part 4 Proving Triangles Congruent. Angle – Side – Angle Postulate If two angles and the included side of a triangle are congruent to two angles.

CHAPTER 4 SECTION 2 Triangle Congruence by SSS and SAS.

4.6 Congruence in Right Triangles To Prove Triangles Congruent using the Hypotenuse Leg Theorem.

DO NOW Identify the corresponding parts using tick marks. Then state which polygons are congruent. 1.2.

Δ CAT is congruent to Δ DOG. Write the three congruence statements for their SIDES

Proving Triangle Congruency. What does it mean for triangles to be congruent? Congruent triangles are identical meaning that their side lengths and angle.

Drill Write your homework in your planner Take out your homework What postulate would you use to prove the triangles below congruent?

Are the following triangles congruent? Why or why not? Write a congruence statement for the triangles. 21 ° 74 ° 85 ° 21 ° 74 ° 85 ° T S R L M N.

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

Bell-Ringer Given:, m

Lesson 4-5: Other Methods of Proving Triangles Congruent (page 140)

Triangle Proofs. USING SSS, SAS, AAS, HL, & ASA TO PROVE TRIANGLES ARE CONGRUENT STEPS YOU SHOULD FOLLOW IN PROOFS: 1. Using the information given, ______________.

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

Prove triangles congruent by ASA and AAS

Geometry-Part 7.

Proving Triangles Congruent

Bell Ringer 10/21/

Triangle Congruence HL and AAS

4.4 Hypotenuse-Leg (HL) Congruence Theorem

Right Triangles What are the additional congruence theorems used only for right triangles? Which combination of sides for triangles in general cannot.

Proving Triangles Congruent: SSS and SAS

Other Methods of Proving Triangles Congruent

Proving Triangles Congruent

CHAPTER 4: CONGRUENT TRIANGLES

Lines, Angles and Triangles

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

Triangle Congruence HL and AAS

Identifying types and proofs using theorems

Proving Triangles Congruent

Isosceles/ Equilateral

4-6 Congruence in Right Triangles

Warmup Write a congruence statement for the triangles.

Postulates and Theorems to show Congruence SSS: Side-Side-Side

(AAS) Angle-Angle-Side Congruence Theorem

Proving Triangles are Congruent

Triangle Congruency Theorems (shortcuts)

Chapter 4: Triangle Congruence

Warm Up 1 ( Write a congruence statement

Proving Triangles Congruent

There are 5 ways to prove triangles congruent.

4.2 /4.3 – Triangle Congruence

Presentation transcript:

WARM UP 1)List the six congruencies if the following is true. 2)Plot the points and locate point C so that F(7,5) A(-2,2) T(5,2)

Sections 4.2 and 4.5 Proving Triangles Congruent

D O G What is the INCLUDED ANGLE of

D O G What is the INCLUDED SIDE of

SSS SIDE SIDE SIDE SIDE SIDE SIDE

SAS SIDE ANGLE SIDE SIDE ANGLE SIDE

ASA ANGLE SIDE ANGLE ANGLE SIDE ANGLE

AAS ANGLE ANGLE SIDE ANGLE ANGLE SIDE

RIGHT TRIANGLES LEG HYPOTENUSE

HL HYPOTENUSE LEG HYPOTENUSE LEG

Ways to Prove Triangles are Congruent SSS SSS SAS SAS ASA ASA AAS AAS HL HL

Are the Triangles Congruent?

Practice Problems Page 124 Page 124 Classroom Exercises Classroom Exercises #4-9 #4-9 Page 142 Page 142 Classroom Exercises Classroom Exercises #1-9, skip #5 #1-9, skip #5

Congruent Video Congruent Video Congruent Congruent