Warm Up Draw a triangle with the following specifications –One side 5 cm –One side 8 cm –A 40 degree Angle Compare your triangle with your classmates.

Slides:

Advertisements

Similar presentations

Proving Triangles Congruent

Advertisements

Proving Triangles Congruent

4-2 Triangle Congruence by SSS and SAS

Hypotenuse – Leg Congruence Theorem: HL

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.

6-2: Proving Congruence using congruent parts Unit 6 English Casbarro.

Proving Triangles Congruent

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

Congruent Polygons. Congruent segments have the same length.

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.

4.3 & 4.4 Proving Triangles are Congruent

4-2: Triangle Congruence by SSS and SAS 4-3: Triangle Congruence by ASA and AAS 4-4: Using Corresponding Parts of Congruent Triangles.

6.3 Congruent Triangles: SSS and SAS

Mrs. Rivas 1. three pairs of congruent sides 2. three pairs of congruent angles.

2.11 – SSS, SAS, SSA.

Geometry Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

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

Proving Triangles Congruent Sections 4-4 and 4-5.

Proving Triangles Congruent. Steps for Proving Triangles Congruent 1.Mark the Given. 2.Mark … reflexive sides, vertical angles, alternate interior angles,

Monday, October 22, 2012 Homework: p. 211 #28-34 even.

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.

SIMILARITY: A REVIEW A REVIEW Moody Mathematics. Midsegment: a segment that joins the midpoints of 2 sides of a triangle? Moody Mathematics.

Triangle Congruence. 3 line segments (dried spaghetti sticks – make three different sizes) Take 3 line segments Make a triangle Mark the vertices Draw.

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

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.

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.

Warm Up  For both right triangles, find the value of x. x x

CHAPTER 4 SECTION 2 Triangle Congruence by SSS and SAS.

U W VX Z Y XYZ 5/ Warm Up.

Angle-Angle (AA) Similarity Postulate If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

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

Unit 3: Properties of Triangles Congruent: identical in size and shape S-A-S - 2 sides and the angle in between them are the same. A-S-A – 2 angles and.

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.

Math 8 Ms. Stewart Unique Triangles.

 Students will apply the SSS & SAS Similarity Theorems to determine similarity in triangles.  Why? So you can show that triangles are similar, as seen.

L.E.Q. How do you prove 2 triangles are congruent using the SSS and SAS postulates?

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

Prove triangles congruent by ASA and AAS

7.4 Showing Triangles are Similar: SSS and SAS

Take a warm-up from the ChromeBook, calculator, and compass

Aim: How do we prove triangles congruent using the Angle-Angle-Side Theorem? Do Now: In each case, which postulate can be used to prove the triangles congruent?

5.3 Proving Triangles are congruent:

Proving Triangles Congruent: SSS and SAS

Other Methods of Proving Triangles Congruent

Proving Triangles Congruent

Three ways to prove triangles congruent.

4-2 Triangle Congruence by SSS and SAS

Some Ways to Prove Triangles Congruent

4-4 and 4-5: Congruent Triangle Theorems

Z Warm Up W U 5 V X Y 6 XYZ 5/

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

Identifying types and proofs using theorems

4-2 Triangle Congruence by SSS & SAS

Warm Up Draw a triangle with the following specifications

Z Warm Up W U 5 V X Y 6 XYZ 5/

~ ≅ SIMILAR TRIANGLES SIMILAR SAME SHAPE, BUT NOT SAME SIZE CONGRUENT

8.3 Methods of Proving Triangles Similar

Learn to use the ASA and AAS tests for congruence.

Lesson Similarity of Triangles

Z Warm Up W U 5 V X Y 6 XYZ 5/

Warm Up 1 ( Write a congruence statement

4-4/4-5 Proving Triangles Congruent

Proving Triangles Congruent

There are 5 ways to prove triangles congruent.

4-2 Triangle congruence by sss & sas

Presentation transcript:

Warm Up Draw a triangle with the following specifications –One side 5 cm –One side 8 cm –A 40 degree Angle Compare your triangle with your classmates. Are they congruent? Why or why not?

Postulate 1 Postulate (SSS)-If there exists a correspondence between the vertices of two triangles such that three sides of one triangle are congruent to the corresponding sides of the other triangle, the two triangles are congruent. Ex.1 C A B F D E

Is Triangle GHJ congruent to Triangle GKJ? YES! BY SSS

Postulate 2 Postulate (SAS)- If there exists a correspondence between the vertices of two triangles such that two sides and the included angle of one triangle are congruent to the corresponding parts of the other triangle, the two triangles are congruent. Ex. 2 T R S Z X Y

Postulate 3 Postulate (ASA)- If there exists a correspondence between the vertices of two triangles such that two angles and the included side of one triangle are congruent to the corresponding parts of the other triangle, the two triangles are congruent. A B C D E F