Figures in the Coordinate Plane

Question 1

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

Revolt · Accepted Answer

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

Question 2

Triangle ABC is an isosceles triangle in which sideAB = AC. What is the perimeter of triangle ABC?

Revolt · Accepted Answer

B: 10 + units

Question 3

Which steps will verify that a parallelogram is a rectangle? Check all that apply.Calculate the lengths of the diagonals, and show that they are equal.Calculate the lengths of all sides, and show that both pairs of opposite sides are congruent.Calculate the slope of each diagonal, and show that the lines are perpendicular.Calculate the midpoints of each diagonal, and show the diagonals bisect each other.Calculate the slopes of every side, and show that adjacent sides are perpendicular.

Revolt · Accepted Answer

A: Calculate the lengths of the diagonals, and show that they are equal.; E: Calculate the slopes of every side, and show that adjacent sides are perpendicular.

Question 4

Which statement proves that quadrilateral HIJK is a kite?

Revolt · Accepted Answer

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

Question 5

⇒ 20

Revolt · Accepted Answer

115769

Question 6

Prove that the diagonals of kite UVWX are perpendicular.

Revolt · Accepted Answer

C: ✔ 1

Question 7

1✔ –1undefined

Revolt · Accepted Answer

B: ✔ –1

Question 8

equal✔ negative reciprocalsreciprocals

Revolt · Accepted Answer

B: ✔ negative reciprocals

Question 9

congruentparallel✔ perpendicular

Revolt · Accepted Answer

C: ✔ perpendicular

Question 10

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

Figures in the Coordinate Plane Answers

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