Construct: Use a compass and a straightedge to draw a geometric figure. Perpendicular Lines: Two lines that intersect to form two right angles. Perpendicular.

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Presentation transcript:

Construct: Use a compass and a straightedge to draw a geometric figure. Perpendicular Lines: Two lines that intersect to form two right angles. Perpendicular Bisector: A segment, line or ray perpendicular to a segment at its midpoint. Angle Bisector: A ray that divides an angle into two congruent angles.

Construct a congruent segment

Construct a Perpendicular Bisector

Angle Bisector An angle bisector is ray that divides an angle into two congruent angles.

Warm-up 1. Use the point-slope formula to write the equation of a line with a slope of -2 that passes through ( 6, -10 ). 2. Draw a pair of opposite rays. 3. If angle ABC measures 3x, angle CBD measures 2x and angle ABD is 140 degrees, find x and the measure of each angle. AC B D

Homework answers x=34 angles are 72 and 108