Perpendicular Bisectors and Angle Bisectors

Front

What is a perpendicular bisector?

Back

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

Front

How do you find the length of a segment using the perpendicular bisector theorem?

Back

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

Tags

CCSS.HSG.CO.C.9

Front

What is an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal angles.

Tags

CCSS.HSG.CO.C.9

Front

What is the relationship between angle bisectors and triangle properties?

Back

The angle bisector of a triangle divides the opposite side into segments that are proportional to the adjacent sides.

Tags

CCSS.HSG.C.A.3

Front

If SV = 18, what is the value of SV?

Back

SV = 18.

Tags

CCSS.4.G.A.1

Front

If LK = 3, what is the value of LK?

Back

LK = 3.

Tags

CCSS.4.G.A.1

Front

Find the measure of QA if x = 14. What is QA?

Back

QA = 28.

Tags

CCSS.HSG.CO.C.9

Front

What is the significance of the blue line in a triangle if it is a perpendicular bisector?

Back

The blue line is the perpendicular bisector, which means it divides the segment into two equal lengths at a right angle.

Tags

CCSS.HSG.CO.C.9

Front

If AD = 8, what is the value of AD?

Back

AD = 8.

Tags

CCSS.4.G.A.1

Front

What is the formula for finding the length of a segment using coordinates?

Back

The length of a segment between points (x1, y1) and (x2, y2) is given by the formula: √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.6.G.A.3