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4. 4-2 Proving Triangles Congruent
OBJECTIVES:
-SSS
-SAS
-ASA

5. Some important facts about triangles
The side opposite the biggest angle is the biggest side
The side opposite the smallest angle is the smallest side.
The angle opposite the biggest side is the biggest angle
The angle opposite the smallest side is the smallest angle

6. List the sides from smallest to largestB A 37 52 C

7. List the angles from smallest to largestU 12 R 9 15 L

8. SSS Postulate
If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent A B D E C F
Write the congruence statement for the above triangles.

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10. Given: W is the midpoint of XY and XZ is congruent to YZ
proof X Y Z W
Given: W is the midpoint of XY and XZ is
congruent to YZ
Prove:

11. INCLUDED SIDE
An included angle is an angle that is between 2 specific sides.
What angle is included in regards to the 2 congruent segments given. C A B

12. O N M
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13. SAS Postulate
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. A C T B E R

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15. proof A B D C
Given:
Prove:

16. proof D A
Given: C is the midpoint of AE and BD
Prove: C B E

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