12/13: (12) Similarity

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees.

Front

Define similar figures.

Back

Two figures are similar if they have the same shape but not necessarily the same size.

Front

What does it mean for angles to be congruent?

Back

Congruent angles have the same measure.

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are congruent.

Front

If the ratio of the sides of two similar triangles is 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 4:9 (the square of the ratio of the sides).

Front

What is the extended ratio of angles in a triangle with measures 24°, 48°, and 108°?

Back

The extended ratio is 2:4:9.

Front

Back

Cross-multiply to get 4 * 27 = 12 * x, which simplifies to x = 9.

Front

What is the relationship between the sides of similar triangles?

Back

The corresponding sides of similar triangles are in proportion.

Front

If two angles are complementary, what is their sum?

Back

The sum of two complementary angles is 90 degrees.

Front

Back

The value of x is 10.