Download presentation

Presentation is loading. Please wait.

Published byClarissa Thornton Modified over 4 years ago

1
4-2: Triangle Congruence by SSS and SAS 4-3: Triangle Congruence by ASA and AAS 4-4: Using Corresponding Parts of Congruent Triangles

2
**Side-Side-Side (SSS) If, in two triangles:**

three sides of one are congruent to three sides of the other, then the triangles are congruent. A B C D E F

3
**Side-Angle-Side (SAS)**

If, in two triangles: two sides and the included angle of one are congruent to two sides and the included angle of the other, then the triangles are congruent A B C D E F

4
**Angle-Side-Angle (ASA)**

If, in two triangles: two angles and the included side of one are congruent to two angles and the included side of the other, then the two triangles are congruent. A B C D E F

5
**Angle-Angle-Side (AAS)**

If, in two triangles: two angles and a non-included side of one are congruent respectively to two angles and the corresponding non-included side of the other, then the triangles are congruent. A B C D E F

6
**Using only the given information, which pairs of triangles are congruent? Justify your answer.**

1. 2. No Yes; SAS 3. No

7
Writing Proofs 3 Prove ___ parts of one triangle are ____________ to the _________________ parts of another triangle. Use Triangle Congruence Theorems and other theorems in the proof. congruent corresponding 3

8
Ex. 1 F U N A C Given: Prove: Statement Reason 1). Given 1).

9
Ex. 2 L T P O Given: Prove: Statement Reason 1). 1). Given

10
A Ex. 3 Given: B D C Prove: E Statement Reason 1). 1). Given

11
Ex. 4 J K L M Given: Prove: Statement Reason 1). 1). Given

12
**Corresponding Parts of Congruent Figures are Congruent (CPCFC)**

If two figures are congruent, then so are all of their corresponding parts.

13
Ex. 5 W A 1 2 Given: 4 3 Prove: T I Statement Reason 1). Given 1).

Similar presentations

© 2019 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google