Congruent and Similar Triangles Review

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What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and the non-included side of one triangle are equal to two angles and the non-included side of another triangle, then the triangles are congruent.

Front

What is the SAS postulate?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the SSS postulate?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

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What does AA∼ mean in triangle similarity?

Back

AA∼ stands for Angle-Angle similarity, a theorem that states if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the Side Splitter Theorem?

Back

The Side Splitter Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

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How do you find the length of a side in similar triangles?

Back

To find the length of a side in similar triangles, set up a proportion using the lengths of corresponding sides of the triangles.

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What is the relationship between congruent triangles and similar triangles?

Back

Congruent triangles are similar triangles with equal corresponding side lengths.

Front

What is the definition of similar triangles?

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Similar triangles are triangles that have the same shape but may differ in size; their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the formula for solving proportions?

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To solve a proportion, cross-multiply the terms and set them equal to each other.