Constructing Perpendicular Bisectors

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Presentation transcript:

Constructing Perpendicular Bisectors During this lesson, we will: Construct the perpendicular bisector of a segment Determine properties of perpendicular bisectors

Daily Warm-Up Quiz A point which divides a segment into two congruent segments is a(n) _____. 2. If M is the midpoint of AY, then a. AM = MY c. Both a and b. b. AM + MY = AY d. Neither a nor b.

I wonder how many segment bisectors I can draw through the midpoint? Before we start: a line, segment, or ray which intersects a segment at its midpoint Segment Bisector: ________________ ______________________________ I wonder how many segment bisectors I can draw through the midpoint?

Paper-Folding a Perpendicular Bisector STEP 1 Draw a segment on paper. Label it OE. STEP 2 Fold your paper so that the endpoints O and E overlap with one another. Draw a line along the fold. STEP 3 Name the point of intersection M. Step 4 Measure the four angles which are formed, and segments ON and NE.

Definition: Perpendicular Bisector a line, ray, or segment that a. intersects a segment at its midpoint and b. forms right angles (90) Add each definition to your illustrated glossary!

Construction: Perpendicular Bisector, Given a Line Segment Absent from class? Click HERE* for step-by-step construction tips. Please note: This construction example relies upon your first constructing a line segment.