Question

What is the orientation of Trapezoid QRST with vertices Q(2, 1), R(2, 5), S(4, 5), and 1(8, 1)?

a) 90 CLOCKWISE
b) 270 CLOCKWISE
c) 90 COUNTER CLOCKWISE
d) 270 COUNTER CLOCKWISE

Answer 1

The orientation of trapezoid QRST with the given vertices would be a 90 degrees clockwise rotation to align its vertical base QR with the horizontal x-axis.

Step-by-step explanation:

The question is asking for the orientation of trapezoid QRST based on the coordinates of its vertices. To understand the orientation, we can sketch the trapezoid on a Cartesian plane using the given points Q(2, 1), R(2, 5), S(4, 5), and T(8, 1). When we plot these points, we'll notice that point Q is at the bottom left, point R is directly above Q, point S is slightly to the right of R, and point T is far to the right of Q.

The trapezoid has bases QR and ST. With such alignment, base QR is vertical and base ST is horizontal. Q and T are the vertices on the bottom of the trapezoid. If we imagine rotating the trapezoid so that base QR aligns with the horizontal x-axis, we would rotate it 90 degrees clockwise (option a).