Perpendicular Bisector Theorem

Front

What does the Perpendicular Bisector Theorem state?

Back

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Tags

CCSS.HSG.CO.C.9

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.

Front

If point P is on the perpendicular bisector of segment AB, what can we say about PA and PB?

Back

PA = PB (Point P is equidistant from points A and B).

Tags

CCSS.HSG.CO.C.9

Front

How do you find the length of a segment given its endpoints?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.6.G.A.3

Front

What is the relationship between angles formed by a perpendicular bisector and the segment it bisects?

Back

The angles are right angles (90 degrees).

Tags

CCSS.HSG.CO.C.9

Front

If AD = 8, what can we infer about the segments created by the perpendicular bisector?

Back

The segments on either side of the bisector are equal in length.

Tags

CCSS.HSG.CO.C.9

Front

What is the value of x if the equation is 2x + 4 = 8?

Back

x = 2.

Tags

CCSS.7.EE.B.4A

Front

If JK = 50 and x = 15, what is the relationship between x and JK?

Back

x is a variable that can represent a length related to JK.

Tags

CCSS.HSG.CO.A.1

Front

What is the measure of angle A if angle B is 75° and they are complementary?

Back

Angle A = 15° (since complementary angles sum to 90°).

Tags

CCSS.7.G.B.5

Front

How do you solve for x in the equation 3x - 5 = 10?

Back

x = 5.

Tags

CCSS.7.EE.B.4A