Unit 8 Similar Triangles Retest

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What does AA similarity criterion state?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar (AA ~ Theorem).

Front

What does SSS similarity criterion state?

Back

If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar (SSS ~ Theorem).

Front

What does SAS similarity criterion state?

Back

If two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar (SAS ~ Theorem).

Front

In similar polygons, what is true about corresponding sides?

Back

Corresponding sides are proportional.

Front

In similar polygons, what is true about corresponding angles?

Back

Corresponding angles are congruent.

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 ratio of their corresponding sides?

Back

The ratio is 1:2.

Front

If a 3 ft tall statue casts an 8 ft shadow, how long will a 6 ft tall sign cast a shadow?

Back

16 ft.

Front

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

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

If triangle XYZ is not similar to triangle PQR, what can we conclude about their angles and sides?

Back

Their corresponding angles are not equal, and their corresponding sides are not proportional.