PA Chapter 3 (3.1, 3.2, 3.4) Test Review

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if they 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

How can you determine if two triangles are similar?

Back

You can determine if two triangles are similar by checking if their corresponding angles are equal (Angle-Angle criterion) or if the sides are in proportion (Side-Side-Side or Side-Angle-Side criteria).

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the Side-Side-Side (SSS) criterion for triangle similarity?

Back

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

Front

What is the Side-Angle-Side (SAS) criterion for triangle similarity?

Back

The SAS criterion states that if one angle of a triangle is equal to one angle of another triangle and the sides including those angles are in proportion, then the triangles are similar.

Front

If triangle A is similar to triangle B, what can you say about their angles?

Back

If triangle A is similar to triangle B, then all corresponding angles of triangle A and triangle B are equal.

Front

If two triangles have one angle of 60° and another angle of 30°, what is the measure of the third angle in each triangle?

Back

The third angle in each triangle is 90°, since the sum of angles in a triangle is always 180°.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180°.

Front

If ∠A = 58° and ∠B = 42°, what is ∠C in triangle ABC?

Back

∠C = 180° - (∠A + ∠B) = 180° - (58° + 42°) = 80°.

Front

What is the measure of an angle that is supplementary to a 116° angle?

Back

The measure of the supplementary angle is 180° - 116° = 64°.