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 .
Answer
Selection 1:
–1
Selection 2:
1
Selection 3:
(2, 2)
Selection 4:
(2, 2)
Selection 5:
perpendicular and share the same midpoint

Question

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 .

Answer

Selection 1:

–1

Selection 2:

1

Selection 3:

(2, 2)

Selection 4:

(2, 2)

Selection 5:

perpendicular and share the same midpoint

Revolt · Accepted Answer

–1; Selection 1: –1; Selection 2: 1; Selection 3: (2, 2); Selection 4: (2, 2); Selection 5: perpendicular and share the same midpoint