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STARTER 8/29/11

STARTER 8/29/11. 1. Find RV on the number line above. 2. Find AB if A (-2, 1) and B (6, 4) 3. J is between M and R, MJ = 2x + 1, MR = 5x – 10, and JR = x + 3. Find x and the measure of each segment. Lesson 1.5 Notes 8/29/11. Midpoints and Segment Congruence

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STARTER 8/29/11

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  1. STARTER 8/29/11 1. Find RV on the number line above. 2. Find AB if A (-2, 1) and B (6, 4) 3. J is between M and R, MJ = 2x + 1, MR = 5x – 10, and JR = x + 3. Find x and the measure of each segment.

  2. Lesson 1.5 Notes 8/29/11 Midpoints and Segment Congruence EQ: How can I find the midpoint of a segment?

  3. Congruent: having the same size and same shape Midpoint: the point that divides a segment into two congruent segments. Segment Bisector: any segment, line, or plane that intersects a segment at its midpoint.

  4. Midpoint Formulas Finding Midpoint on a Number Line: Example: Find the midpoints of RV and SX.

  5. Midpoint Formulas Finding Midpoint in the Coordinate Plane: Example: Find the midpoint of each segment. 1. (3, –6) (7, 2) 2. (– 3, – 4) (5, 7)

  6. Midpoint Formulas Example: Given (–3, 7) is the midpoint of AB , if A (4, 2) find the other endpoint B. To find the OTHER endpoint, multiply the midpoint by 2, then subtract the given endpoint.

  7. Midpoint Formulas Example: Given (4, –1) is the midpoint of AB , if A (3, –2) find the other endpoint B.

  8. M is the midpoint of XY. If XM = 8x – 5 and MY = 3x + 20, find x and the measure of each segment.

  9. AB bisectsCD at point P. If CP= 7x – 5 and PD= 4x + 1, find x and the measure of each segment.

  10. AB bisectsCD at point P. If CP= x + 5 and CD= 4x + 5, find x and the measure of each segment.

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