Q. If the diagonals of a rhombus are 6 cm and 8 cm, what is the area of the rhombus?
A.
24 cm²
B.
30 cm²
C.
48 cm²
D.
60 cm²
Solution
The area of a rhombus can be calculated using the formula (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals. Thus, the area is (6 cm * 8 cm) / 2 = 24 cm².
Q. In a trapezoid, if the lengths of the two parallel sides are 8 cm and 12 cm, what is the length of the midsegment?
A.
4 cm
B.
10 cm
C.
20 cm
D.
16 cm
Solution
The length of the midsegment of a trapezoid is the average of the lengths of the two parallel sides. Therefore, midsegment = (8 cm + 12 cm) / 2 = 10 cm.
Q. In coordinate geometry, what is the slope of the line passing through the points (2, 3) and (4, 7)?
A.
2
B.
1
C.
0.5
D.
3
Solution
The slope of a line is calculated using the formula (y2 - y1) / (x2 - x1). For the points (2, 3) and (4, 7), the slope is (7 - 3) / (4 - 2) = 4 / 2 = 2.
