Homework 3: Similar Triangles

Front

What is the AA Similarity Theorem?

Back

The AA Similarity Theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

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What does it mean for triangles to be similar?

Back

Triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

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What is the SSS Similarity Theorem?

Back

The SSS Similarity Theorem states that if the lengths of the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS Similarity Theorem?

Back

The SAS Similarity Theorem states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

How can you determine if two triangles are not similar?

Back

If none of the AA, SSS, or SAS conditions are met, the triangles are not similar.

Front

What is a similarity statement?

Back

A similarity statement indicates that two triangles are similar, often written in the form ΔABC ∼ ΔDEF.

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Back

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Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

What is the first step in proving triangles are similar using the AA theorem?

Back

Identify two pairs of corresponding angles that are congruent.