Geometry

2D Coordinate Geometry

Coordinate Geometry Warmup

         

(4,5)(4, 5) is the midpoint between (2,1)(2, 1) and (x,y).(x, y). What is the value of xy?xy?

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A bug sitting at the point (1,2)(1, 2) moves 5 units vertically (parallel to the yy-axis) and 1 units horizontally (parallel to the xx-axis). Which ordered pair gives potential coordinates for the bug's new location?

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The points A,B,C,A, B, C, and DD form a rectangle that is twice as tall as it is wide. Given the coordinates of two of the points A=(2,−5),A = (2, -5), and B=(2,1),B = (2, 1), where might another point of the rectangle (CC or DD) be located?

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Q=(x,y),Q = (x, y), is a point on line segment BCBC such that, comparing the lengths, BQ:QC=1:3.BQ:QC = 1:3. What is the value of x+yx + y if BB is the point (2, 2), and C,C, the point (6, 14).

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Circle CC has a center at (2,1)(2, 1) with a radius of 5. Which point could lie on the circle?

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