Name: ___________________________________ # ___________ Geometry: Period _____________ Ms. Pierre Date: ______________ Congruent Triangles Today’s Objective SWBAT 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____________________. Example 1 Which postulate, if any, can be used to prove the triangles congruent? 1. 2. 3. 4.
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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.
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