Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures

Practice Questions

Common Core: High School - Geometry › Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures

Questions
10
1

Consider the parallelogram below. From what you know about parallelograms and our theorems for congruence in triangles, prove that triangles and are congruent.

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2

Consider the two triangles below (ABE and CBE). Given that sides and are equal and bisects , prove triangles ABE and CBD are congruent. and are equal and bisects , prove triangles ABE and CBD are congruent.

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3

Choose the answer that describes similar triangles

4

Consider the group of line segments below. is parallel to . What is the relationship between triangles and ?

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5

and are parallel. Are triangles and triangle are similar? If so, solve for .

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6

Choose the answer that describes a congruent triangle

7

True or False: When considering right triangles, if two right triangles have a congruent hypotenuse and a congruent leg then these triangles are congruent.

8

True or False: The triangles below are similar, NOT congruent.

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9

Triangle is similar to triangle . Solve for and .

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10

True or False: Triangles that have all three corresponding sides equal in length can still have differing corresponding angles, therefore triangles with all three corresponding sides equal in length are not guaranteed to be either similar or congruent.

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