The diagonals of a parallelogram are congruent. which could be the parallelogram?

trapezoid
rectangle
kite
rhombus

Consider definitions of parallelogram, trapezoid, rectangle, kite and rhombus.

Parallelogram is a quadrilateral with two pairs of parallel opposite sides.

Trapezoid is a quadrilateral with one pair parallel opposite sides, trapezoid is not parallelogram, so option 1 is false.

Rectangle is a parallelogram with all angles right. Rectangle has diagonals that are congruent. Option 2 is true.

Kite is a quadrilateral with two pairs of congruent adjacent sides. Kite is not parallelogram, so option 3 is false.

Rhombus is a parallelogram with all sides congruent. The diagonals of the rhombus are not congruent, but they are perpindicular bisectors of each other. Option 4 is false.

correct choice is option 2

A parallelogram has two pairs of parallel and congruent sides

The parallelogram that fits the given definition is (b) rectangle

From the definition of parallelograms, we can conclude that the trapezoid is not a parallelogram.

Kites and rhombus are parallelograms but the diagonals of a kite and a rhombus are not equal.

Hence, the parallelogram that fits the given definition is (b) rectangle

Read more about parallelogram at:

link

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.