Perpendicular and Angle Bisectors

Front

What is a perpendicular bisector?

Back

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

Front

What is the relationship between perpendicular bisectors and triangles?

Back

The perpendicular bisectors of a triangle intersect at a point called the circumcenter, which is equidistant from the triangle's vertices.

Front

Fill in the blank: A perpendicular bisector is perpendicular to and passing through the ___________________ of a segment.

Back

midpoint

Front

What is the value of x in order to find the length of \( \overline{VU} \)?

Back

2

Front

Find the length of segment HG if the total length is 28 and the other segment is 14.

Back

14

Front

What is an angle bisector?

Back

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

Front

What is the relationship between angle bisectors and triangles?

Back

The angle bisectors of a triangle intersect at a point called the incenter, which is equidistant from the triangle's sides.

Front

If the measure of angle A is 60 degrees, what is the measure of each angle formed by the angle bisector?

Back

30 degrees each.

Front

Find the measure of QA if it is given as 12.

Back

12

Front

Find the length of segment SV if the total length is 36 and the other segment is 18.

Back

18