Perpendicular and Angle Bisectors

Front

What is a perpendicular bisector?

Back

A line that divides a segment into two equal parts at a 90-degree angle.

Front

Define angle bisector.

Back

A ray that divides an angle into two equal angles.

Front

If two angles are complementary, what is the sum of their measures?

Back

90 degrees.

Front

What does it mean for two lines to be perpendicular?

Back

They intersect at a right angle (90 degrees).

Front

If m∠A = 30 degrees, what is m∠B if A and B are complementary?

Back

m∠B = 60 degrees.

Front

What is the relationship between the angles formed by a transversal intersecting two parallel lines?

Back

Corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary.

Front

If XY is a segment and Z is a point on XY such that XZ = ZY, what can we say about Z?

Back

Z is the midpoint of segment XY.

Front

What is the definition of equidistant in geometry?

Back

A point is equidistant from two figures if it is the same distance from both figures.

Front

If m∠1 = 45 degrees and m∠2 = 45 degrees, what can we conclude about ∠1 and ∠2?

Back

∠1 and ∠2 are congruent.

Front

What is the formula for finding the length of a segment given its endpoints (x1, y1) and (x2, y2)?

Back

Length = √((x2 - x1)² + (y2 - y1)²).