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All Common Core: High School - Geometry Resources

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

Choose the answer that describes a congruent triangle

Triangles with corresponding sides of the same lengths but differing corresponding angles

Triangles with corresponding angles of the same measure but differing corresponding sides

Triangles with corresponding sides of the same lengths and corresponding angles of the same measures

Triangles with 2 of the 3 corresponding sides of the same lengths but differing corresponding angles

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

Choose the answer that describes a congruent triangle

Your answer:

Triangles with corresponding sides of the same lengths but differing corresponding angles

Your answer:

Triangles with corresponding angles of the same measure but differing corresponding sides

Your answer:

Triangles with 2 of the 3 corresponding sides of the same lengths but differing corresponding angles

Correct answer:

Triangles with corresponding sides of the same lengths and corresponding angles of the same measures

Explanation:

To be congruent, triangles must have all corresponding angles and sides be of the same measure. Corresponding sides of triangles are sides of the same measure in the same positions on different triangles. This is shown in red on the two triangles below. Corresponding angles of triangles are angles of the same measure in the same position on different triangles. This is shown in blue on the two triangles below.

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

Choose the answer that describes similar triangles

Triangles with corresponding sides of the same lengths but differing corresponding angles

Triangles with corresponding angles of the same measure but differing corresponding sides

Triangles with 2 of the 3 corresponding sides of the same lengths but differing corresponding angles

Triangles with corresponding sides of the same lengths and corresponding angles of the same measures

Report an Error Copyright Notice

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

Choose the answer that describes similar triangles

Your answer:

Triangles with corresponding sides of the same lengths but differing corresponding angles

Your answer:

Triangles with 2 of the 3 corresponding sides of the same lengths but differing corresponding angles

Your answer:

Triangles with corresponding sides of the same lengths and corresponding angles of the same measures

Correct answer:

Triangles with corresponding angles of the same measure but differing corresponding sides

Explanation:

Shapes, in general, are similar when they are the same shape but have different sizes. If they were the exact same size, they would be congruent. To have the same shape, even when the sizes differ, the shape needs to have the same angles. Take the two triangles below for example, they have equal angles but are different sizes. Therefore these triangles are similar.

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All Common Core: High School - Geometry Resources

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

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

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

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

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