Special Parallelograms

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.

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

C: 46

Question 9

Question 9

Revolt · Accepted Answer

B: –1

Question 10

Question 10

Revolt · Accepted Answer

C: 1

Special Parallelograms Answers

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