Q. If a parallelogram has one angle measuring 70 degrees, what are the measures of the other three angles?
A.
70, 110, 70
B.
70, 70, 110
C.
110, 70, 110
D.
110, 110, 70
Solution
In a parallelogram, opposite angles are equal and consecutive angles are supplementary. Therefore, if one angle is 70 degrees, the opposite angle is also 70 degrees, and the other two angles are 110 degrees each.
Q. In a rhombus, if one diagonal measures 10 cm and the other measures 24 cm, what is the area of the rhombus?
A.
120 cm²
B.
240 cm²
C.
60 cm²
D.
100 cm²
Solution
The area of a rhombus can be calculated using the formula Area = (d1 × d2) / 2, where d1 and d2 are the lengths of the diagonals. Here, Area = (10 cm × 24 cm) / 2 = 120 cm².
Q. What is the length of the diagonal of a rectangle with a length of 12 cm and a width of 5 cm?
A.
13 cm
B.
14 cm
C.
15 cm
D.
16 cm
Solution
The length of the diagonal can be calculated using the Pythagorean theorem: d = √(length² + width²). Here, d = √(12² + 5²) = √(144 + 25) = √169 = 13 cm.
Q. What is the perimeter of a regular pentagon with each side measuring 6 cm?
A.
24 cm
B.
30 cm
C.
36 cm
D.
18 cm
Solution
The perimeter of a regular polygon is calculated by multiplying the number of sides by the length of one side. For a pentagon, perimeter = 5 × 6 cm = 30 cm.
