Dilation and Angle Review

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

If point C(2, 7) is dilated by a scale factor of 6, what are the coordinates of C'?

Back

C' is (12, 42).

Front

If point A(0, 4) is dilated by a scale factor of 10, what are the coordinates of A'?

Back

A' is (0, 40).

Front

What are congruent angles?

Back

Congruent angles are angles that have the same measure.

Front

If angle 1 measures 27°, what is the measure of angle 4 if they are congruent?

Back

Angle 4 also measures 27°.

Front

What is the relationship between supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180°.

Front

What is the relationship between vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect, and they are always congruent.

Front

If D(-1, 3) is dilated by a scale factor of 4, what are the coordinates of D'?

Back

D' is (-4, 12).

Front

How do you calculate the coordinates of a dilated point?

Back

Multiply each coordinate of the original point by the scale factor.