In the coordinate plane, three vertices of rectangle PQRS are P(0, 0), Q(0, b), and S(c, 0). What are the coordinates of point R?

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In the coordinate plane, three vertices of rectangle PQRS are P(0, 0), Q(0, b), and S(c, 0). What are the coordinates of point R?

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Answer 1 · 2017-11-12T19:21:43

R $(c, b)$ $(c,b)$

Explanation:

Polygons are named in either clockwise or counter-clockwise order. In the rectangle PQRS, the order is clockwise.

Rectangles have four right angles.

Since P starts at the origin $(0, 0)$ $(0,0)$ and the second point Q $(0, b)$ $(0,b)$ is straight up the $y$ $y$ -axis, and S $(c, 0)$ $(c,0)$ is straight along the $x$ $x$ -axis, the point R must be over the same distance as S $= c$ $= c$ , and up the same distance as Q $= b$ $= b$ .

This means R $(c, b)$ $(c,b)$

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In the coordinate plane, three vertices of rectangle PQRS are P(0, 0), Q(0, b), and S(c, 0). What are the coordinates of point R?

1 Answer

Explanation:

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