HGeom - 5.2 Perpendicular and Angle Bisectors

Honors Geometry
5.2 Perpendicular and Angle Bisectors

Learning Objective: I can use the properties of perpendicular and angle bisectors in triangles.

Let's refresh!

What is a perpendicular bisector?

A line, segment, or ray that divides a line segment in half at 90 degree angles.

​What does it mean to be EQUIDISTANT?

If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.

Multiple Choice

Can you use the Perpendicular Bisector Theorem on this image?

• Yes

• No, not enough information is given

Multiple Choice

Find the value of x.

• x = 10

• x = 1

• x = 5

• x = -5

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Find the length of BC.

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Find the value of n.

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Find the length of RQ.

Let's refresh!

What is an angle bisector?

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

If a point is on the bisector of an angle, then it is equidistant from the sides of the angle.

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If OM is an angle bisector of ∠LMN, find the value of x.

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Find the value of y.

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Find the value of x.

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Find the measure of ∠LHF.

Now let's check your understanding!

Draw

Draw a figure representing the Perpendicular Bisector Theorem.

Open Ended

What is the relationship between AC and BD?

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What is the length of AB?

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What is the length of DC?