Are the following triangles congruent? Why or why not? Write a congruence statement for the triangles. 21 ° 74 ° 85 ° 21 ° 74 ° 85 ° T S R L M N.

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Presentation transcript:

Are the following triangles congruent? Why or why not? Write a congruence statement for the triangles. 21 ° 74 ° 85 ° 21 ° 74 ° 85 ° T S R L M N

Write a congruence statement for the set of triangles.

Practice Worksheet 4-3

DO YOU NEED TO HAVE ALL SIX CONGRUENT PARTS IN ORDER TO DETERMINE IF TWO TRIANGLES ARE CONGRUENT?

1.Side-Side-Side Postulate (SSS) 2.Side-Angle-Side Postulate (SAS) 3.Angle-Side-Angle Postulate (ASA) 4.Angle-Angle-Side Theorem (AAS)

If the sides of one triangle are congruent to the sides of a second triangle, then the triangles are congruent.

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.

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are congruent.

Determine whether the triangles are congruent. If they are indicate the congruence postulate.

Page 410 #6-14 Page 416 #1-12, not 4, 6, 9

If the hypotenuse and a leg of one triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.

Determine whether the triangles are congruent. If they are indicate the congruence postulate.

Page 422 #2-6