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

If the sides of triangle ABC are 3 cm, 4 cm, and 5 cm, what are the sides of a similar triangle with a scale factor of 2?

Back

The sides of the similar triangle would be 6 cm, 8 cm, and 10 cm.

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

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 RSV has sides of 2 cm, 3 cm, and 4.5 cm, what are the dimensions of a triangle similar to it with a scale factor of 3?

Back

The dimensions would be 6 cm, 9 cm, and 13.5 cm.

Front

In a problem involving similar triangles, how can you use proportions to find an unknown length?

Back

Set up a proportion using the lengths of corresponding sides and solve for the unknown length.