quiz Mathematics · 5 questions

Perpendicular and Angle Bisectors in Geometry

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1

Given a point X that lies on the perpendicular bisector of segment AB, which relationship must hold between distances XA and XB?

2

If a point D satisfies DA = DB, what can be concluded about D's position relative to segment AB?

3

A point Y lies on the bisector of angle ∠BAC. Which of the following statements is always true?

4

Point Z is inside angle ∠XYZ and satisfies the condition that its distances to the sides XY and XZ are equal. What does this imply about Z?

5

What is the equation of the perpendicular bisector of segment PQ with endpoints P(−2, 3) and Q(4, 1)?

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