Terminology

Front

What does the notation \( \overline{xy} \) represent?

Back

Line segment xy.

Front

If \( \angle X \) and \( \angle Y \) are complementary, what is the sum of their measures?

Back

90 degrees.

Front

What is the definition of supplementary angles?

Back

Two angles whose measures add up to 180 degrees.

Front

If \( m\angle A = x + 2 \) and \( m\angle B = 6x + 12 \), what equation represents their supplementary relationship?

Back

\( x + 2 + 6x + 12 = 180 \)

Front

What does it mean for points to be noncoplanar?

Back

They do not lie on the same plane.

Front

Are points D and E collinear or coplanar?

Back

Collinear.

Front

What is the definition of collinear points?

Back

Points that lie on the same straight line.

Front

What is the definition of coplanar points?

Back

Points that lie on the same plane.

Front

If \( m\angle X = 2x + 5 \) and \( m\angle Y = 3x - 15 \), how do you find the value of \( x \)?

Back

Set up the equation \( (2x + 5) + (3x - 15) = 90 \) and solve for \( x \).

Front

What is the measure of complementary angles?

Back

The sum of their measures is 90 degrees.