Question

12. Given two segments with lengths x and y (x not equal to y), what

special parallelograms meet the given conditions? Draw a sketch for
each scenario.
a. Both diagonals have length y and do not intersect at right angles.
b. One diagonal has length x, the other has length y. The diagonals intersect at right
angles.

Answer 1

I'm pretty sure,

1. Is a Trapezoid

2. Is a Rhombus

Explanation:

Look at a picture of them,

1. A trapezoid has equal length diagonals, but because of the outer legs? if you want to call them that, they're at an angle, same with its vertices, so, the angles at which they bisect are not right angles.

2. A Rhombus, has diagonals that are not the same length, one is longer than the other. Therefore, that solves the first part of the question. And when they bisect, they bisect at right angles because the side lengths of a Rhombus are congruent.