5.2 - Perpendicular Bisector Theorem

Front

What does the word BISECT mean?

Back

To cut something into two congruent pieces or in half.

Front

What is the Perpendicular Bisector Theorem?

Back

A theorem stating that if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Front

If DA is the perpendicular bisector of EI, what can be said about angles IAD and DAE?

Back

Both angles IAD and DAE are right angles.

Front

If DA is the perpendicular bisector of EI, what can be said about the lengths DI and DE?

Back

DI = DE.

Front

What is the relationship between EA and IA if DA is the perpendicular bisector of EI?

Back

EA = IA.

Front

Solve for x: If 2x + 4 = 24, what is x?

Back

x = 10.

Front

What is the value of x if 3x - 6 = 0?

Back

x = 2.

Front

What does it mean for two segments to be congruent?

Back

Two segments are congruent if they have the same length.

Front

If a line segment is bisected, what can be said about the two resulting segments?

Back

The two resulting segments are congruent.

Front

What is the definition of a perpendicular bisector?

Back

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