7.5AC Similarity Practice

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

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

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

How do you find the scale factor between two similar triangles?

Back

The scale factor is found by dividing the lengths of corresponding sides of the two triangles.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the scale factor?

Back

The scale factor is 2:1.

Front

What is the relationship between the areas of two similar triangles?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths.

Front

If triangle XYZ is similar to triangle PQR and the length of side XY is 6 cm and side PQ is 9 cm, what is the ratio of their areas?

Back

The ratio of their areas is (6/9)² = 4/9.

Front

What is a proportional relationship in the context of similar triangles?

Back

A proportional relationship means that the ratios of the lengths of corresponding sides of similar triangles are equal.

Front

If a tree is 75 feet tall and casts a 120-foot shadow, what is the height of a 5-inch tall drawing of the tree if the shadow is proportional?

Back

The length of the shadow in the drawing is 8 inches.

Front

What does it mean for angles to be congruent?

Back

Congruent angles are angles that have the same measure.

Front

If triangle DEF is similar to triangle GHJ, what can be said about angle DEF and angle GHJ?

Back

Angle DEF is congruent to angle GHJ.