Figures in the Coordinate Plane (Sec 9-1)

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

Question 4

Revolt · Accepted Answer

115769

Question 5

Prove that the diagonals of kite UVWX are perpendicular. Step 1: Determine the slope of XV. The slope of XV is . Step 2: Determine the slope of UW. The slope of UW is . Step 3: The slopes of the diagonals are . The diagonals of kite UVWX are .

Revolt · Accepted Answer

C: 1

Question 6

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. The slope of diagonal PS is . The slope of diagonal QR is . Step 2: Calculate the midpoint of the diagonals. The midpoint of PS is . The midpoint of QR is . The diagonals of the square are perpendicular bisectors because the diagonals are .

Revolt · Accepted Answer

A: –1

Question 7

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 8

Question 8

Revolt · Accepted Answer

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Question 9

Question 9

Revolt · Accepted Answer

B: –1

Question 10

Question 10

Revolt · Accepted Answer

PENDING

Figures in the Coordinate Plane (Sec 9-1) Answers

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