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5.1 Perpendiculars and Bisectors

Obj. SWBAT use properties of perpendicular bisectors to find/identify equal distances. 5.1 Perpendiculars and Bisectors. Theorems. Perpendicular Bisector – segment/ray/line that intersects a segment at the midpoint in a right angle.

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5.1 Perpendiculars and Bisectors

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  1. Obj. SWBAT use properties of perpendicular bisectors to find/identify equal distances 5.1 Perpendiculars and Bisectors

  2. Theorems • Perpendicular Bisector – segment/ray/line that intersects a segment at the midpoint in a right angle. • Perpendicular Bisector Thm – If a point is on the perpendicular bisector of a segment, then it is equidistant to the endpoints (ex. CA = CB)‏

  3. Another Theorem • Angle Bisector – a line/ray/segment which splits an angle into 2 equal parts. • Angle Bisector Thm – If a point is on the bisector of an angle, then it is equidistant from the two sides of an angle (If <ABD = <DBC, then AD = DC)‏ • *For converse to work, segments must be perpendicular to rays.

  4. Examples • Is P on the angle bisector of A? YES NO

  5. Example 3 • MP is the perpendicular bisector of LN. What is the relationship between LP and PN? • They are equal

  6. Assignment • p. 267-269 1-13, 16-26, 33-34 all

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