Intro to Geometry Review

Front

What is the definition of a linear pair of angles?

Back

A linear pair of angles is a pair of adjacent angles formed when two lines intersect. The angles are supplementary, meaning their measures add up to 180 degrees.

Front

If two angles are supplementary, what is the relationship between their measures?

Back

The sum of the measures of two supplementary angles is 180 degrees.

Front

What is the formula to find the measure of an angle in a linear pair if one angle is expressed as a function of x?

Back

If angle 1 is expressed as m∠1 = (ax + b)° and angle 2 as m∠2 = (cx + d)°, then the equation is (ax + b) + (cx + d) = 180.

Front

Solve for x: m∠1 = (5x + 9)° and m∠2 = (3x + 11)° form a linear pair.

Back

x = 10, m∠1 = 59°, m∠2 = 121°.

Front

What does it mean for a line segment to bisect an angle?

Back

A line segment bisects an angle if it divides the angle into two equal parts.

Front

Back

The measures of the two angles formed by the bisector are equal.

Front

What is the equation to relate the lengths of two segments if one segment is expressed in terms of a variable?

Back

An example equation could be 2x + 22 = 12, where x represents a length.

Front

If the measure of angle A is 120° and angle B is supplementary to angle A, what is the measure of angle B?

Back

Angle B measures 60°.

Front

What is the definition of supplementary angles?

Back

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

Front

What is the formula for finding the measure of an angle if it is expressed as a linear equation?

Back

To find the measure, set the equation equal to 180 degrees and solve for the variable.