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Section 1.5

Section 1.5 . SEGMENT AND ANGLE BISECTORS. An ANGLE BISECTOR is the ray that divides (or bisects) an angle into congruent adjacent angles. O. N. M. G. How can we use this information about angle bisectors?. Q. P. (x+40)°. (3x – 20)°. R. S.

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Section 1.5

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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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