Figures in the Coordinate Plane

Question 1

Which statement proves that quadrilateral HIJK is a kite?

Revolt · Accepted Answer

IH = IJ = 3 and JK = HK = , and IH ≠ JK and IJ ≠ HK.

Question 2

2336✔ 4665

Revolt · Accepted Answer

✔ 46

Question 3

Prove the diagonals of the square with vertices P(0, 4), Q(4, 4), R(0, 0), and S(4, 0) are perpendicular bisectors of each other. Step 1: Calculate the slope of the diagonals.

Revolt · Accepted Answer

The slope of diagonal PS is .: –1; The slope of diagonal QR is .: 1; The midpoint of PS is .: (2, 2); The midpoint of QR is .: (2, 2); The diagonals of the square are perpendicular bisectors because the diagonals are .: perpendicular and share the same midpoint

Question 4

Prove the diagonals of the square with vertices P(0, 4), Q(4, 4), R(0, 0), and S(4, 0) are perpendicular bisectors of each other. Step 1: Calculate the slope of the diagonals.

Revolt · Accepted Answer

✔ –1; The slope of diagonal PS is .: –1; The slope of diagonal QR is .: 1; The midpoint of PS is .: (2, 2); The midpoint of QR is .: (2, 2); The diagonals of the square are perpendicular bisectors because the diagonals are .: perpendicular and share the same midpoint

Figures in the Coordinate Plane Answers

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