Page 3 - Senior Math
P. 3
1) Define midpoint in your own words.
2) Explain how to find a midpoint between two given points using your own words and little mathematical terminology.
Find the coordinates of the midpoint of a segment with each pair of endpoints. 3) 𝐽(6, 6), 𝐾(19, 6) 4) 𝐿(5, 9), 𝑀(−7, 3)
5) 𝑉(−8, 1.2), 𝑊(−8, 7.4) 6) 𝐷(4.7, −2.9), 𝐸(−3.1, 8.3)
7) 𝑀(−2𝑤, −7𝑣), 𝑁(6𝑤, 2𝑣)
Find the coordinates of the other endpoint of a segment given one endpoint and the midpoint M. 8) 𝐸(−7, 8), 𝑀(−7, 4) 9) 𝐻(5, 3), 𝑀(6, 4)
10) 𝑁(5, −9), 𝑀(8, −7.5) 11) 𝑅 (16 , 13) , 𝑀 (12 , 13)
12) The coordinates of the endpoints of a diameter of a circle are (5, 8) and (−7, 2). Find the coordinates of
the center.
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13) Find the coordinates of the point on 𝐴𝐵 that is one-fourth the distance from A to B for 𝐴(8, 3) and
𝐵(10, −5).
̅̅̅̅ ̅̅̅̅
14) The endpoints of 𝐴𝐵 are 𝐴(−2, 7) and 𝐵(6, −5). Find the coordinates of P if P lies on 𝐴𝐵 and is
three-eighths the distance from A to B.
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