1 / 11

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.

krikor
Download Presentation

1-5 Midpoints and Segment Congruence

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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.

More Related