Question

TIMERBUATING

09:56
The figure is a parallelogram. One diagonal measures 28
units
Is the figure a rectangle? Explain
20
21
No, t is not a rectangle because the diagonals are
congruent
O No, it is not a rectangle because the sides of the
parallelogram do not meet at night angles.
o Yes, tis a rectangle because the diagonals are
congruent
O Yes, it is a rectangle because the sides of the
parallelogram do meet at right angles.
21
20
Save and Exit

Answer 1

No, it is not a rectangle because the sides of the

parallelogram do not meet at night angles (B)

Explanation:

The diagonal of the rectangle = 28

The two sides of the figure measures 20 and 21 units respectively.

To determine if the shape is a rectangle, we would apply Pythagoras theorem

hypotenuse² = opposite² + adjacent²

hypotenuse = diagonal = 28

The other two sides represent the opposite and adjacent

28² = 20² + 21²

784 = 400 + 441

784 ≠ 841

The square of the diagonal is not equal to the sum of the square of the other two sides (length and width). And as a result of this, the triangle isn't a right angled triangle and the sides of the parallelogram would not meet at right angles.

Therefore, the figure isn't a rectangle.

Option B: No, it is not a rectangle because the sides of the

parallelogram do not meet at night angles.