Question

1. trapezoid abcd is shown on the coordinate plane. a) find the length of ab in simplest radical form. b) find the length of ab to the nearest hundredth. c) find the perimeter of abcd to the nearest tenth.

Explanation:

Step1: Assume coordinates of A and B

Let \(A(x_1,y_1)\) and \(B(x_2,y_2)\)

Step2: Use distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

For part a), find length of \(AB\) in radical form. For part b), calculate and round to nearest - hundredth. For part c), find lengths of all sides and sum for perimeter.

Answer:

a) Without coordinates, cannot find radical - form length.
b) Without coordinates, cannot find rounded length.
c) Without coordinates of all vertices, cannot find perimeter.