Give me Multiple choice questions about special parallelograms with answers and explanations and we are looking for the unknown number ?

1. What is the measure of each interior angle in a rhombus?
A) 90 degrees
B) 120 degrees
C) 180 degrees
D) 360 degrees

Answer: A) 90 degrees
Explanation: In a rhombus, all four interior angles are equal and add up to 360 degrees. Since a rhombus is also a parallelogram, opposite angles are equal, making each interior angle 90 degrees.

2. What is the measure of each exterior angle in a rectangle?
A) 45 degrees
B) 90 degrees
C) 180 degrees
D) 360 degrees

Answer: B) 90 degrees
Explanation: In a rectangle, each interior angle is 90 degrees. The sum of an interior angle and its corresponding exterior angle is always 180 degrees. Therefore, each exterior angle in a rectangle is 90 degrees.

3. What is the measure of each interior angle in a square?
A) 90 degrees
B) 120 degrees
C) 180 degrees
D) 360 degrees

Answer: A) 90 degrees
Explanation: A square is a special type of rhombus where all angles are 90 degrees. Since a square is also a parallelogram, opposite angles are equal, making each interior angle 90 degrees.

4. What is the measure of each interior angle in a parallelogram?
A) 90 degrees
B) 120 degrees
C) 180 degrees
D) 360 degrees

Answer: C) 180 degrees
Explanation: In a parallelogram, opposite angles are equal and adjacent angles are supplementary (add up to 180 degrees). Therefore, each interior angle in a parallelogram is 180 degrees.

5. What is the measure of each interior angle in a trapezoid?
A) 90 degrees
B) 120 degrees
C) 180 degrees
D) Unknown

Answer: D) Unknown
Explanation: The sum of the interior angles in a trapezoid is not fixed, as it can vary depending on the shape of the trapezoid. Therefore, the measure of each interior angle in a trapezoid is unknown without additional information.

Question 1:

A rectangle has a length of 10 cm and a width of 5 cm. What is the perimeter of the rectangle?

(A) 15 cm
(B) 20 cm
(C) 30 cm
(D) 40 cm

Answer: (B)

Perimeter = 2(length + width) = 2(10 cm + 5 cm) = 30 cm

Explanation: A rectangle is a special parallelogram with equal length and width.

Question 2:

A square has a side length of x cm. What is the area of the square?

(A) x cm²
(B) 2x cm²
(C) x² cm²
(D) 2x² cm²

Answer: (C)

Area = side length² = x² cm²

Explanation: A square is a special parallelogram with all sides equal.

Question 3:

A rhombus has diagonals of length 6 cm and 8 cm. What is the area of the rhombus?

(A) 12 cm²
(B) 24 cm²
(C) 32 cm²
(D) 48 cm²

Answer: (B)

Area = (1/2) - diagonal 1 - diagonal 2 = (1/2) - 6 cm - 8 cm = 24 cm²

Explanation: A rhombus is a special parallelogram with all sides equal and diagonals that bisect each other at right angles.

Question 4:

A kite has a diagonal of length 10 cm and a perpendicular height of 6 cm. What is the area of the kite?

(A) 12 cm²
(B) 30 cm²
(C) 60 cm²
(D) 120 cm²

Answer: (B)

Area = (1/2) - diagonal - perpendicular height = (1/2) - 10 cm - 6 cm = 30 cm²

Explanation: A kite is a special parallelogram with two pairs of equal adjacent sides and two non-parallel diagonals.