Bellwork 1. Name a side of <ACB. 2. What is the probability that a point chosen at random will lie on ΔABC? 3. What is ? 4. Points I, M and U lie on the.

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Presentation transcript:

Bellwork 1. Name a side of <ACB. 2. What is the probability that a point chosen at random will lie on ΔABC? 3. What is ? 4. Points I, M and U lie on the same line if IM =5 and IU = 4, what are the possible lengths of MU?

1.5 Division of Segments and Angles Students will be able to: Apply the definition of midpoint, bisector, and trisector to segments and angles.

Midpoint (Defn) TOOLBOX! If a point is a midpoint of a segment, then it divides the segment into two congruent segments.

Example 1 C is between A and B. If AC = 2x + 5 and BC = 4x -1 and AB = 7x -1, is C a midpoint?

Angle Bisector/Trisector (Defn) TOOLBOX! If a ray is an angle bisector/trisector then it divides an angle into two/three congruent angles. The dividing ray is called the bisector/trisector of the angle.

Segment Bisector/Trisector (Defn)TOOLBOX If a segment, line or plane divides a segment into two/three congruent segments then it is called a segment bisector/trisector.

Example 2 Which ray is the angle bisector? Given the angle bisector, what can I conclude?

Oral Examples Pg. 32 #1 - 3

Example 3 Given: bisects <RSV. Prove: <RST <TSV

Example 4 Given: AB = 6, BC = 6 Prove: B is the midpoint.

Example 5 Find the values of x and y if C and D trisect.

Ticket to Leave Given: C is the midpoint of Prove: A B C

Homework: Pg. 32 # 7 – 9, 13 – 18, 20 – 21 Quiz Friday over sections