Perpendicular Bisectors, Angle Bisectors, Midsegments

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 an angle bisector?

Back

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

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle.

Front

If angle ABC measures 34°, what is the measure of angle CBD if it is an angle bisector?

Back

34°

Front

What is the relationship between the lengths of the segments created by a perpendicular bisector?

Back

The segments are equal in length.

Front

How do you find the length of a midsegment in a triangle?

Back

The length of a midsegment is half the length of the third side of the triangle.

Front

What is the significance of the point where the angle bisectors of a triangle meet?

Back

It is called the incenter, and it is the center of the circle inscribed in the triangle.

Front

What is the significance of the point where the perpendicular bisectors of a triangle meet?

Back

It is called the circumcenter, and it is the center of the circle circumscribed around the triangle.

Front

If CR = 17 and PQ = 15, what can be inferred about the segments?

Back

CR and PQ are segments of different lengths.

Front

What is the definition of parallel segments?

Back

Parallel segments are segments that are equidistant from each other and never intersect.