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GEO 1.3 Review Distance and Midpoint
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Given XZ with coordinates X(-9, -14) and Z(-5, -2), if Y lies on XZ such that the ratio of XY to XZ is 3:4, find the coordinates of Y.
(-6, -5)
(-32, 66.5) NW
Given PR with coordinates P(-13, 20) and R(1, -15), if Q lies on PR such that the ratio of PQ to RQ is 2:5, find the coordinates of Q.
(-9, 10)
Find the distance between the points E(0,0) and F(6,−8)
10
Find the missing endpoint if M is the midpoint of line segment GH. Given M(5,–2 ) and G(7,1). Find H.
(3,−5)
Given DF with D(-1, 11) and F(-9, -5), if E partitions DF such that the ratio of DE to DF is 5:8, find the coordinates of E.
(−6,1)
If N is the midpoint of MO, MN = 2x + 3 and NO = 5x – 18, find MO.
34
Find the distance between the points C(6,−3) and D(−4,5)
2√41 or 12.8
Find the missing endpoint if M is the midpoint of line segment EF. Given M(4,6), and E(2,9). Find F.
(6,3)
Find the coordinates of the midpoint M of line segment AB given points A(2,5) and B(8,−3)
(5,1)
Given AC with A(3, 4) and C(-9, -2), if B partitions AC such that the ratio of AB to BC is 1:5, find the coordinates of B.
(1,3)
Find the distance between the points G(−2,5) and H(1,−3)
√73 or 8.54
Find the distance between the points A(2,3) and B(7,8).
5√2 or 7.07
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