Figures in the Coordinate Plane

Question 1

Mary thinks the triangle is equilateral. How would you support or dispute her conjecture?

Revolt · Accepted Answer

Use the distance formula to calculate the length of all three sides, and check whether all sides are congruent.

Question 2

⇒ 20

Revolt · Accepted Answer

115769

Question 3

Prove that the diagonals of kite UVWX are perpendicular.

Revolt · Accepted Answer

✔ 1; The slope of XV is .: 1; The slope of UW is .: –1; Step 3: The slopes of the diagonals are .: negative reciprocals; The diagonals of kite UVWX are .: perpendicular

Question 4

1✔ –1undefined

Revolt · Accepted Answer

✔ –1

Question 5

equal✔ negative reciprocalsreciprocals

Revolt · Accepted Answer

✔ negative reciprocals

Question 6

congruentparallel✔ perpendicular

Revolt · Accepted Answer

✔ perpendicular

Question 7

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 8

–10✔ 1

Revolt · Accepted Answer

✔ 1

Question 9

(0, 4) ✔ (2, 2)(4, 2)

Revolt · Accepted Answer

✔ (2, 2)

Question 10

(4, 0)✔ (2, 2)(2, 4)

Revolt · Accepted Answer

✔ (2, 2)

Figures in the Coordinate Plane Answers

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