Perpendicular and angle bisectors
Types of exercises: which line is the perpendicular bisector, properties of a perpendicular bisector, properties of an angle bisector.
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Problem
The bisectors of angles A and B of triangle ABC meet at point O. Angle ACB measures 106°. What is the measure of angle AOB?
Problem
Vertex C of rhombus ABCD lies on the perpendicular bisectors of sides AB and AD. What is the measure of angle BAD of this rhombus?
Which line is the perpendicular bisector of segment AB?
segment AB and lines a, b, c, d
Problem
The bisectors of angles A and B of triangle ABC meet at point O. Angle BAC measures 116° and angle ABC measures 32°. What is the measure of angle AOB?
Problem
The perpendicular bisector of side AB of triangle ABC meets side BC at point D. The sides of the triangle are AB = 12 cm, BC = 16 cm, AC = 14 cm. What is the perimeter of triangle ADC?
Which line is the perpendicular bisector of segment AB?
segment AB and lines a, b, c, d
Problem
The bisector of angle BAC of triangle ABC meets side BC at point D. Angle BAC measures 76° and angle ABC measures 64°. What is the measure of angle ADC?
Problem
Vertex C of rhombus ABCD lies on the perpendicular bisectors of sides AB and AD. What is the measure of angle ABC of this rhombus?
Which line is the perpendicular bisector of segment AB?
segment AB and lines a, b, c, d
Problem
Ray OC is the bisector of angle AOB. Angle AOB measures 84°. What is the measure of angle AOC?
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