Question

Trapezoid PQRS has vertices P(0, 0), Q(0, 4), R(6, 4), and S(12, 0).

What is the length of the midsegment?

please help me its the last question on this test and i only have 20 mins left of this class

Answer 1

The length of the midsegment of trapezoid PQRS is 2sqrt(10) units.

Step-by-step explanation:

A trapezoid is a quadrilateral with one pair of parallel sides. The midsegment of a trapezoid is a line segment that connects the midpoints of the non-parallel sides. To find the length of the midsegment, we can use the midpoint formula.

For the given trapezoid PQRS, the midpoints of the non-parallel sides are M(3, 4) and N(9, 2). Using the distance formula, we can find the length of the midsegment MN.

Distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

d = sqrt((9 - 3)^2 + (2 - 4)^2) = sqrt(36 + 4) = sqrt(40) = 2sqrt(10)

Therefore, the length of the midsegment MN is 2sqrt(10) units.

Answer 2

Answer: 9

Step-by-step explanation: (6+12) / 2 = 9