Perpendicular bisector and angle bisector

Front

What is a perpendicular bisector?

Back

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

Front

What is an angle bisector?

Back

A line, segment, or ray that divides an angle into two equal angles.

Front

If AD = 12 and BC = 16, what are the lengths of AD and BC?

Back

AD = 12; BC = 16.

Front

What is the value of HG if it is given as 14?

Back

HG = 14.

Front

If AB is the midsegment of a triangle, what is the value of x if x = 6?

Back

x = 6.

Front

What is the measure of angle ABD if m∠ABD = 20 degrees?

Back

m∠ABD = 20 degrees.

Front

What is the relationship between a perpendicular bisector and a segment?

Back

A perpendicular bisector intersects the segment at its midpoint and forms right angles.

Front

How do you find the midpoint of a segment?

Back

Add the coordinates of the endpoints and divide by 2.

Front

What is the significance of the angle bisector in a triangle?

Back

It helps in finding the incenter, which is the center of the inscribed circle.

Front

What is the difference between a median and an angle bisector?

Back

A median connects a vertex to the midpoint of the opposite side, while an angle bisector divides an angle into two equal parts.