Download presentation

Presentation is loading. Please wait.

1
**Proving Triangles Congruent**

SSS Postulate, SAS Postulate ASA Postulate, AAS Theorem & HL Theorem

2
**Side - Side - Side Postulate**

C B If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. ABC DEF F E D

3
SSS Example: E T I K ITK ETK

4
**Side - Angle - Side Postulate**

J L K If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are JKL MNO O N M

5
SAS Example ARK ? K N E R A ERN

6
**Angle - Side - Angle Postulate**

R Q P If two angles and the included side of one triangle are to two angles and the included side of another triangle, then the triangles are PQR STU U T S

7
ASA Example YMA ? M Y R A YRA AY Bisects < MAR

8
**Angle - Angle - Side Theorem**

Z Y X If two angles and a nonincluded side of one triangle are to two angles and the corresponding nonincluded side, then the triangles are XYZ JAC C J A

9
AAS Example K Y R E RKY ? KRE

10
**Hypotenuse-Leg Theorem**

If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are RPW SBM R W P M B S

11
HL Example Q QMC ? M QHC H C

12
Example 1 M E K I IEM ? IEK Property? SAS

13
Example 2 RBA ? T I B A IBT Property? R ASA

14
**MOU ? None Property? Example 3 None: SSA isn’t a property O U S M**

15
Example 4 RIK ? K S I R SKI Property? SSS

16
Example 5 SIL ? L A S I LAS Property? AAS

17
Example 6 RBI ? R B G GBI Property? HL I

18
MISSING PARTS What information do you need to prove the following triangles are congruent by SAS? Q E W T R

19
MISSING PARTS What information do you need to prove the following triangles are congruent by ASA? D F 63o G 63o A S

20
MISSING PARTS What information do you need to prove the following triangles are congruent by AAS? Y T I U

21
MISSING PARTS What information do you need to prove the following triangles are congruent by SSS? Y 6 B C 6 V

22
MISSING PARTS What information do you need to prove the following triangles are congruent by HL? Q M H C

Similar presentations

Presentation is loading. Please wait....

OK

Sect. 4.6 Isosceles, Equilateral, and Right Triangles

Sect. 4.6 Isosceles, Equilateral, and Right Triangles

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on history of atom worksheet Ppt on role of political parties in india Ppt on sustainable tourism practices in kenya Jit ppt on manufacturing Ppt on latest technology in automobile Ppt on depth first search youtube Ppt on water scarcity articles Ppt on building information modeling classes Ppt on online shopping project in java Ppt on limits and derivatives doc