Triangle Similarity Flashcard Review

Front

What is Triangle Similarity?

Back

Triangle similarity occurs when two triangles have the same shape but not necessarily the same size. This means their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the AA Criterion for Triangle Similarity?

Back

The AA (Angle-Angle) Criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

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What is the SSS Criterion for Triangle Similarity?

Back

The SSS (Side-Side-Side) Criterion states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS Criterion for Triangle Similarity?

Back

The SAS (Side-Angle-Side) Criterion 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

If two triangles are congruent, are they similar?

Back

Yes, if two triangles are congruent, they are also similar because all corresponding angles and sides are equal.

Front

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.

Front

How do you find the height of a tree using similar triangles?

Back

You can use the properties of similar triangles to set up a proportion based on the height of the tree and the length of its shadow compared to a known height and shadow length.

Front

What is a proportion in the context of similar triangles?

Back

A proportion is an equation that states that two ratios are equal, often used to compare the lengths of corresponding sides of similar triangles.

Front

If triangle ABC is similar to triangle DEF, what can be said about their angles?

Back

The corresponding angles of triangle ABC and triangle DEF are equal.

Front

If the sides of triangle ABC are 3, 4, and 5, and triangle DEF is similar to ABC with a scale factor of 2, what are the lengths of the sides of triangle DEF?

Back

The sides of triangle DEF would be 6, 8, and 10.