5/16/2019 Confidential 4-2 Proving Triangles Congruent OBJECTIVES: -SSS -SAS -ASA.

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5/16/2019 Confidential

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

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

List the sides from smallest to largest B A 37 52 C

List the angles from smallest to largest U 12 R 9 15 L

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.

5/16/2019 Confidential

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:

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

O N M 5/16/2019 Confidential

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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proof A B D C Given: Prove:

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

5/16/2019 Confidential