5.2 Angle Bisectors and Perpendicular Lines. Angle Bisectors To bisect something is to cut it into two equal parts The ray that divides the angle is called.

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Presentation transcript:

5.2 Angle Bisectors and Perpendicular Lines

Angle Bisectors To bisect something is to cut it into two equal parts The ray that divides the angle is called an angle bisector Measure angle ACB. What degree is it? Measure angle ACD. What degree is this? Measure angle DCB. What is this degree? Does the line D bisect angle ACB?

If I bisect a right angle, what will the size of each angle be?

Bisect the following angles.

An angle is bisected. Each resulting angle is How big was the original angle?

The size of one resulting angle after the original angle is bisected is equal to the supplement of the original angle. What is the measure of the original angle?

Using a protractor determine which of the following lines are perpendicular.

A crooked table leg makes an angle of with the tabletop. How much must the carpenter move the leg so that it is perpendicular to the tabletop?

At what approximate angle does the hill incline from the horizontal?

A carpenter is inlaying different types of wood on a tabletop. What must be the size of angles a, b, c, and d? ( (hint: remember that a straight line is how many degrees? And the 3 angles of a triangle always add to 180 degrees)

Practice questions page 229 # 2, 4 and worksheet