Postulates Review.

Slides:

Advertisements

Similar presentations

Hypotenuse – Leg Congruence Theorem: HL

Advertisements

Proving Triangles Congruent

Blue – 3/9/2015 Gold – 3/10/2015.  Last 2 classes, we talked about 3 ways we can determine triangle congruence.  CPCTC – All 3 sides and 3 angles of.

Proving RightTriangles Congruent Free powerpoints at

Similarity & Congruency Dr. Marinas Similarity Has same shape All corresponding pairs of angles are congruent Corresponding pairs of sides are in proportion.

WARM-UP. SECTION 4.3 TRIANGLE CONGRUENCE BY ASA AND AAS.

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

4.5 – Prove Triangles Congruent by ASA and AAS

4.3 & 4.4 Proving Triangles are Congruent

SECTION 4.4 MORE WAYS TO PROVE TRIANGLES CONGRUENT.

White Board Challenge!!!!!!. D E F B C A CB  ED AB  FD CA  EF The two triangles drawn below are not drawn to scale. Determine if the given information.

Triangle Congruence by ASA and AAS Chapter 4 Section 3.

Congruent Triangles have six sets of corresponding parts! Three sets of corresponding sides Three sets of corresponding angles.

Triangles and Lines – Congruent Triangles Congruent triangles are triangles that share equal corresponding parts.

Chapter 4: Triangle Congruence Missy McCarthy Okemos High School Math Instructor.

Math 2 Geometry Based on Elementary Geometry, 3 rd ed, by Alexander & Koeberlein 3.1 Congruent Triangles.

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.

4-3 Triangle Congruence by ASA and AAS. Angle-Side-Angle (ASA) Postulate If two angles and the included side of one triangle are congruent to two angles.

4.3 TRIANGLE CONGRUENCE BY ASA AND AAS TO PROVE TRIANGLE CONGRUENCE BY ASA POSTULATE AND AAS THEOREM.

 If three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.  If AB = DE, BC = EF, AC.

5.6 Proving Triangle Congruence by ASA and AAS. OBJ: Students will be able to use ASA and AAS Congruence Theorems.

4.4 Proving Triangles are Congruent: ASA and AAS Geometry.

Prove triangles congruent by ASA and AAS

Proving Triangles are Congruent

4.6: Triangle congruence ASA, AAS, & HL.

Sections 6.3 & 6.4 Proving triangles are similar using AA, SSS, SAS

Triangle Congruence HL and AAS

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?

Proving Triangles Congruent

Proving Triangles Congruent

Proving Triangles Congruent

5.3 Proving Triangles are congruent:

Proving Triangles Congruent

Proving Triangles Congruent: SSS and SAS

4-2 Triangle Congruence by SSS and SAS

G.6 Proving Triangles Congruent Visit

Proving Triangles Congruent

Proving Triangles Congruent

“Triangle Congruence Theorems”

Three ways to prove triangles congruent.

Some Ways to Prove Triangles Congruent

4.2 APPLY CONGRUENCE AND TRIANGLES

Proving Triangles Congruent

4.4 Proving Triangles are Congruent by ASA and AAS

Proving Triangles Congruent

Proving Triangles Congruent

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

Similarity, Congruence, & Proofs

Proving Triangles Congruent

Proving Triangles Congruent

G.6 Proving Triangles Congruent Visit

Proving Triangles Congruent

8.3 Methods of Proving Triangles Similar

Proving Triangles Congruent

4-5 Proving Congruence Included side: the side between the 2 angles used. AB is the included side between angles A and B. BC is the included side between.

Proving Triangles Congruent

Learn to use the ASA and AAS tests for congruence.

Objectives Apply ASA, AAS, and HL to solve problems.

Warmup Write a congruence statement for the triangles.

(AAS) Angle-Angle-Side Congruence Theorem

Proving Triangles Congruent

4.3 Triangle Congruence by ASA and AAS

Proving Triangles are Congruent

Lesson 8.04 Triangle Congruence

Chapter 4: Triangle Congruence

4.5 Proving Triangles are Congruent: ASA and AAS

Proving Triangles Congruent

Warm Up 1 ( Write a congruence statement

4-4/4-5 Proving Triangles Congruent

4-2 Triangle congruence by sss & sas

Presentation transcript:

Postulates Review

What angles need to bee congruent for AA

Triangle ABC is congruent to DEF Triangle ABC is congruent to DEF. <A is 20 <B is 60 what is angle F

What postulate shows congruency?

Find angle G and M

Solve for x 9

<T = <S, PT = SR What postulate proves congruency?

<A = <E, <C = <C What do I need to prove ASA

Estimate the Scale Factor

True or False The diagonals of a parallelogram are congruent?

Which of the following is NOT true for Triangle ABC and triangle DEF Side AB = Side DE <B = <E Side CA = Side FD Side BD = Side DE