Question

Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle.

Answer 1

Answer:

The area of EFGH is always One-half of the area of the rectangle. is correct

Step-by-step explanation:

Answer 2

Answer:

"The area of EFGH is always One-half of the area of the rectangle."

Step-by-step explanation:

Graph is attached.

The kite consists of 2 triangle, EFG and EHG.

The area of EFG:

$\frac{1}{2}*EG*h$

where h is the height from F to EG

The area of EHG:

$\frac{1}{2}*EG*h_1$

where $h_1$ is the height from H to EG

We also know that h + h _1 is the width of the rectangle and EG is the length of the rectangle

Thus,

Area of Kite = $\frac{1}{2}*EG*h + \frac{1}{2}*EG*h_1 = RectangleLength*RectangleWidth$

Also, Area of rectangle is rectangle length * rectangle width.

Thus, area of kite is always half of that of rectangle, the third choice is right.