Question

The diagonals of a quadrilateral are congruent but DO NOT bisect each other. The quadrilateral is

A. an isosceles trapezoid
B. a parallelogram
C. a rectangle
D. a rhombus

Answer 1

The quadrilateral in question is an isosceles trapezoid. In an isosceles trapezoid, the diagonals are congruent but do not bisect each other.

Step-by-step explanation:

The quadrilateral in question is option A, an isosceles trapezoid.

In an isosceles trapezoid, the diagonals are congruent but do not bisect each other. The two non-parallel sides are equal in length, and the angles opposite these sides are equal.

Therefore, if the diagonals of a quadrilateral are congruent but do not bisect each other, the quadrilateral can be classified as an isosceles trapezoid.

Answer 2

A. an isosceles trapezoid

Step-by-step explanation:

We have been given a statement. We are asked to choose the expression that describes the given statement.

Statement: The diagonals of a quadrilateral are congruent but DO NOT bisect each other.

We know that diagonals of rectangle are congruent because opposite sides of rectangle are equal. We also know that diagonals of rectangle bisect each other.

By the properties of an isosceles trapezoid, the diagonals of an isosceles trapezoid are congruent, but they do not bisect each other.

Therefore, the required quadrilateral is an isosceles trapezoid and option A is the correct choice.