congruent triangles example 1 today’s...

Name: ___________________________________ # ___________ Geometry: Period _____________ Ms. Pierre Date: ______________

CongruentTrianglesToday’sObjectiveSWBAT prove triangles are congruent by using SSS and SAS.

Two triangles are ____________________ if all of their

corresponding _______________ are congruent and all of their

corresponding _______________ are congruent. However,

you do not need to know the measure of every side and angle

to show that two triangles are____________________.

Example1Which postulate, if any, can be used to prove the triangles congruent? 1. 2.

3. 4.

Example2

Which postulate if any, can be used to prove the triangles congruent?

1. 2.

3. 4.

IndependentPractice

Determine whether each pair of triangles is congruent. If so, write a congruence statement and explain why the triangles are congruent.

1. 2.

3. 4.

Use the given information to determine whether the two triangles are congruent by SAS. Write “yes” or “no”.

5. ∠𝐿 ≅ ∠𝑀, 𝐿𝐷'''' ≅ 𝑀𝑅''''', ∠𝑂 ≅ ∠𝐴

GuidedPractice Determine whether each pair of triangles is congruent. If so, write a congruence statement and explain why the triangles are congruent.

1. 2. 3. 4. Use the given information to determine whether the two triangles are congruent by SAS. Write “yes” or “no”.

5. ∠𝐿 ≅ ∠𝑀, 𝐿𝐷'''' ≅ 𝑀𝑅''''', 𝐿𝑂'''' ≅ 𝑀𝐴'''''

Use the given information to determine whether the two triangles are congruent by SAS. Write “yes” or “no”.

5. 𝐿𝐷'''' ≅ 𝑀𝑅''''', 𝐿𝑂'''' ≅ 𝑀𝐴''''', ∠𝑂 ≅ ∠𝐴

6. 𝐿𝐷'''' ≅ 𝑀𝑅''''', 𝐿𝑂'''' ≅ 𝑀𝐴''''', 𝐷𝑂'''' ≅ 𝑅𝐴''''

Homework In

Determine whether each pair of triangles is congruent. If so, write a congruence statement and explain why the triangles are congruent.

1. 2.

3. 4.