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 congruent and their corresponding sides are in proportion.

Front

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

Back

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

Front

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

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

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

Back

If one angle of a triangle is congruent to one angle of another triangle and the sides including those angles are in proportion, then the triangles are similar.

Front

If triangle DEF is similar to triangle GHJ, what can we say about their angles?

Back

Angle DEF is congruent to angle GHJ, angle DFE is congruent to angle GJH, and angle EDF is congruent to angle HJG.

Front

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

Back

Use the proportion of the corresponding sides of the similar triangles to set up a ratio and solve for the unknown length.

Front

If triangle RSV has sides of 2 cm, 3 cm, and 4.5 cm, what are the dimensions of a similar triangle with a side of 5 cm?

Back

The dimensions of the similar triangle would be 5 cm, 7.5 cm, and 10.5 cm.

Front

What is a scale factor in similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar triangles.

Front

If a tree is 75 feet tall and casts a 120-foot shadow, what is the height of the tree if it casts an 8-inch shadow on a canvas?

Back

The height of the tree on the canvas is 5 inches, and the length of the shadow is 8 inches.

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 sides.