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Worksheet: Perpendicular Bisector Theorem and Its Converse
Q2:
What makes an intersecting line a perpendicular bisector?
- Awhen the two lines meet at a right angle and the segment of each line is consequently of equal length
- Bwhen the intersecting line divides the other into two line segments of equal length
- Cwhen the line intersects a line segment at an acute angle and divides it into two line segments of equal length
- Dwhen the line intersects a line segment at right angles and divides it into two line segments of equal length
- Ewhen the line intersects a line segment at an obtuse angle and divides it into two line segments of equal length
Q3:
In the diagram, is the perpendicular bisector of . Find the value of .
Q4:
When is a line said to be an angle bisector?
- Awhen it cuts another line segment into two equal parts
- Bwhen it divides an angle into two distinct angles
- Cwhen it cuts another line segment into two distinct parts
- Dwhen it divides an angle into two angles of equal measure
- Ewhen it connects two angles
Q5:
In the diagram, and .
Find .
Find .
Q6:
Determine whether is a perpendicular bisector of .
- AIt is not a perpendicular bisector.
- BIt is a perpendicular bisector.