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1.5 Segment & Angle Bisectors

1.5 Segment & Angle Bisectors. Geometry Mrs. Blanco. Standard/Objective. Standard 3: Students will understand geometric concepts and applications. Objectives: Find the Midpoint of a segment. Bisect a segment. Bisect an angle. Midpoint.

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1.5 Segment & Angle Bisectors

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  1. 1.5 Segment & Angle Bisectors Geometry Mrs. Blanco

  2. Standard/Objective Standard 3: Students will understand geometric concepts and applications. Objectives: • Find the Midpoint of a segment. • Bisect a segment. • Bisect an angle.

  3. Midpoint • The point on a segment that divides the segment into two congruent segments. (bisects a segment)

  4. Ex 1a: Find the midpoint of CD if C(-12,-9) & D(2,10). Ex 1b: You Try: Find the Midpoint of CD C(-1.5,4) & D(0.25,-1).

  5. Ex 2a: The midpoint of BD is M(-1,1). One endpoint is D(2,6). Find the coordinates of B. D B(-4,-4) M Ex 2b: You Try: Find the B if M(0,3) & D(-8,-1)

  6. Segment Bisector • A segment, ray, line, or plane that intersects a segment at its midpoint. k A M B

  7. Angle Bisector • A ray that divides an angle into two adjacent angles that are congruent. BD is an angle bisector of  ABC. A D B C

  8. Ex 3a: If QS bisects PQR & mSQR=22o, what is mPQR and mPQS ? mPQS=22° mPQR=44°

  9. Ex 3b: If QS bisects PQR & mPQR=124o, what is mPQS and mSQR ? mPQS=62° mSQR=62°

  10. Ex 4a: If RQ bisects PRS. Solve for x x+40 = 3x-20 40 = 2x-20 60 = 2x 30 = x

  11. Last Example: Ex 4b: If BD bisects ABC. Solve for x 1/2x+20 = 3x-85 20 = 2 ½ x-85 105 = 2 ½ x 42 = x

  12. Class practice— • Pgs. 38-40 • #18, 22, 26, 28, 32, 38, 39, 40, 41, 44, 46, 48, 52, 54,

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