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Understanding Angle and Segment Bisection

Learn how angle bisectors divide angles & segment bisectors divide lines, find midpoints on a coordinate plane & practice the midpoint formula.

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Understanding Angle and Segment Bisection

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  1. Section 1.5 SEGMENT AND ANGLE BISECTORS

  2. An ANGLE BISECTOR is the ray that divides (or bisects) an angle into congruent adjacent angles. O N M G

  3. How can we use this information about angle bisectors? Q P (x+40)° (3x – 20)° R S

  4. a MIDPOINT is the point that divides (or bisects) the line segment into equal parts. The equal parts are also called congruent segments. DL = LE D L 3 m E 3 m To Bisect means to divide in ½ To be congruent means to be equal

  5. Don’t forget about angle addition and segment addition postulates!

  6. Can we bisect a line? Why or why not? Take a minute to write down your response.

  7. Back to MIDPOINTS! • You will sometimes see midpoints on a coordinate plane. • The MIDPOINT FORMULA will allow you to find the x and y coordinates for the midpoint. P(1,2) Q(3,-2) How do we find that midpoint?

  8. MIDPOINT FORMULA The x for the midpoint = The y for the midpoint = Add the 2 and divide by 2 (sound familiar?)

  9. Let’s practice the Midpoint Formula FIND THE MIDPOINT (M) FIND THE ENPOINT • A (5, 4) and B(3, 2) • A(-1, -9) and B(11, -5) • A(6, -4) and B(1, 8) • C(3, 0) and M(3,4) • D(5,2) and M(7,6) • E(-4,2) and M(-3,-2)

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