Question

Trapezoid KLMN has vertices K(1, 3), L(3, 1), M(3, 0), and N(1, -2). Is this trapezoid an isosceles trapezoid?

A. True
B. False

Answer 1

Trapezoid KLMN is not an isosceles trapezoid. Hence, it is B) false.

Step-by-step explanation:

A trapezoid is an isosceles trapezoid if its non-parallel sides (legs) are congruent. To determine if trapezoid KLMN is isosceles, we need to find the lengths of its legs. Using the distance formula, we can find the lengths of KL and MN. The distance between two points (x1, y1) and (x2, y2) is given by:

d = sqrt((x2 - x1)² + (y2 - y1)²)

Substituting the coordinates of K and L, we find that KL has a length of √(8) units. Similarly, using the coordinates of M and N, we find that MN has a length of √(9) units. Since the lengths of KL and MN are not equal, trapezoid KLMN is not an isosceles trapezoid.