Download presentation

Presentation is loading. Please wait.

1
**Proving Triangles Congruent**

Free powerpoints at

2
**The Idea of a Congruence**

Two geometric figures with exactly the same size and shape. A C B D E F

3
How much do you need to know. . . . . . about two triangles to prove that they are congruent?

4
Corresponding Parts In Lesson 4.2, you learned that if all six pairs of corresponding parts (sides and angles) are congruent, then the triangles are congruent. B A C AB DE BC EF AC DF A D B E C F ABC DEF E D F

5
Do you need all six ? NO ! SSS SAS ASA AAS

6
Side-Side-Side (SSS) AB DE BC EF AC DF ABC DEF B A C E D F

7
**Side-Angle-Side (SAS)**

B E F A C D AB DE A D AC DF ABC DEF included angle

8
Included Angle The angle between two sides H G I

9
**Included Angle Name the included angle: YE and ES ES and YS YS and YE**

10
**Angle-Side-Angle (ASA)**

B E F A C D A D AB DE B E ABC DEF included side

11
Included Side The side between two angles GI GH HI

12
**Included Side Name the included angle: Y and E E and S S and Y**

YE ES SY

13
**Angle-Angle-Side (AAS)**

B E F A C D A D B E BC EF ABC DEF Non-included side

14
**There is no such thing as an SSA postulate!**

Warning: No SSA Postulate There is no such thing as an SSA postulate! E B F A C D NOT CONGRUENT

15
**There is no such thing as an AAA postulate!**

Warning: No AAA Postulate There is no such thing as an AAA postulate! E B A C F D NOT CONGRUENT

16
**The Congruence Postulates**

SSS correspondence ASA correspondence SAS correspondence AAS correspondence SSA correspondence AAA correspondence

17
Name That Postulate (when possible) SAS ASA SSA SSS

18
Name That Postulate (when possible) AAA ASA SSA SAS

19
**Name That Postulate SAS SAS SSA SAS Vertical Angles Reflexive Property**

(when possible) Vertical Angles Reflexive Property SAS SAS Vertical Angles Reflexive Property SSA SAS

20
**HW: Name That Postulate**

(when possible)

21
**HW: Name That Postulate**

(when possible)

22
**Let’s Practice B D AC FE A F**

Indicate the additional information needed to enable us to apply the specified congruence postulate. For ASA: B D For SAS: AC FE A F For AAS:

23
HW Indicate the additional information needed to enable us to apply the specified congruence postulate. For ASA: For SAS: For AAS:

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google