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1-5 Midpoints and Segment Congruence

We learn by doing. If we do nothing, we learn nothing. The more we do, the more we learn. 1-5 Midpoints and Segment Congruence. OBJECTIVE: Find the midpoint of a segment. Midpoint. The midpoint M of PQ is the point between P and Q such that PM = MQ. Midpoint Formulas.

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1-5 Midpoints and Segment Congruence

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  1. We learn by doing. If we do nothing, we learn nothing. The more we do, the more we learn. 1-5 Midpoints and Segment Congruence OBJECTIVE: Find the midpoint of a segment

  2. Midpoint • The midpoint M of PQ is the point between P and Q such that PM = MQ.

  3. Midpoint Formulas In a coordinate plane, the coordinates of the midpoint of a segment whose endpoints have coordinates (x1, y1) and (x2, y2) are

  4. Example • Find the coordinates of Q, the midpoint of RS, if the endpoints of RS are R(-3, -4) and S(5, 7).

  5. Practice: • Find the midpoint M for AB. 1. A(-9, 7), B(4, -3) 2. A(-2, 4), B(3, 1)

  6. Example 1: • If Y is the midpoint of XZ, XY = 2a+11, and YZ = 4a – 5, find the value of a and the measure of XZ.

  7. Example 2: • If C is the midpoint of AD, AD = 6x – 4 and AC = 4x – 3, find the value of x and the measure of CD.

  8. Practice • U is the midpoint of XY. If XY = 16x – 6 and UY = 4x + 9, find the value of x and the measure of XY. • B is the midpoint of AC. If AB = 3x + 6 and BC = 2x + 14, find the value of x and the measure of AC.

  9. A-B Pair-Share Y is the midpoint of UV. 1. If UY = 2x + 1 and YV = x + 7, find the value of x and UV. 2. If UV = x + 6 and UY = x – 1, find the value of x and YV.

  10. QUESTIONS???

  11. EXIT TICKET: Show your work!! • If R is the midpoint of QS, QS = x + 3 and QR = 3x – 1, find the value of x and RS.

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