Q. If a square has a side length of 4 cm, what is its area?
A.
16 cm²
B.
12 cm²
C.
8 cm²
D.
20 cm²
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Solution
The area of a square is given by the formula: Area = side². Here, side = 4 cm. Area = 4² = 16 cm².
Correct Answer:
A
— 16 cm²
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Q. If a trapezoid has bases of lengths 8 cm and 12 cm, what is the length of the midsegment?
A.
10 cm
B.
8 cm
C.
12 cm
D.
20 cm
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Solution
The length of the midsegment of a trapezoid is the average of the lengths of the two bases. Midsegment = (8 + 12) / 2 = 10 cm.
Correct Answer:
A
— 10 cm
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Q. If the diagonals of a rectangle are 10 cm long, what is the length of each side if the rectangle is a square?
A.
5 cm
B.
10 cm
C.
7.07 cm
D.
8 cm
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Solution
In a square, the diagonal d is related to the side length s by the formula d = s√2. Therefore, s = d/√2 = 10 cm/√2 = 10 cm/1.414 ≈ 7.07 cm.
Correct Answer:
C
— 7.07 cm
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Q. If two triangles are similar and the lengths of the sides of the first triangle are 3 cm, 4 cm, and 5 cm, what are the lengths of the sides of the second triangle if the ratio of similarity is 2:1?
A.
6 cm, 8 cm, 10 cm
B.
3 cm, 4 cm, 5 cm
C.
1.5 cm, 2 cm, 2.5 cm
D.
4 cm, 5 cm, 6 cm
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Solution
In similar triangles, corresponding sides are in the same ratio. If the ratio is 2:1, the sides of the second triangle will be 2 × (3 cm, 4 cm, 5 cm) = (6 cm, 8 cm, 10 cm).
Correct Answer:
A
— 6 cm, 8 cm, 10 cm
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Q. In a cyclic quadrilateral, if one angle is 80 degrees, what is the measure of the opposite angle?
A.
100 degrees
B.
80 degrees
C.
90 degrees
D.
70 degrees
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Solution
In a cyclic quadrilateral, the opposite angles are supplementary. Therefore, if one angle is 80 degrees, the opposite angle is 180 - 80 = 100 degrees.
Correct Answer:
A
— 100 degrees
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Q. In a rectangle, if the length is 10 cm and the width is 5 cm, what is the perimeter?
A.
30 cm
B.
25 cm
C.
20 cm
D.
15 cm
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Solution
The perimeter of a rectangle is given by the formula: P = 2(length + width). Here, P = 2(10 + 5) = 30 cm.
Correct Answer:
A
— 30 cm
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Q. In a rectangle, if the length is 8 cm and the width is 5 cm, what is the perimeter?
A.
26 cm
B.
40 cm
C.
30 cm
D.
20 cm
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Solution
The perimeter of a rectangle is given by the formula: P = 2(l + w). Here, l = 8 cm and w = 5 cm. P = 2(8 + 5) = 26 cm.
Correct Answer:
A
— 26 cm
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Q. In a rhombus, if one diagonal measures 12 cm and the other measures 16 cm, what is the area of the rhombus?
A.
96 cm²
B.
48 cm²
C.
192 cm²
D.
64 cm²
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Solution
The area of a rhombus can be calculated using the formula: Area = (d1 × d2) / 2. Here, Area = (12 cm × 16 cm) / 2 = 96 cm².
Correct Answer:
A
— 96 cm²
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Q. In a trapezoid, if the lengths of the bases are 10 cm and 6 cm, and the height is 4 cm, what is the area of the trapezoid?
A.
32 cm²
B.
40 cm²
C.
24 cm²
D.
28 cm²
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Solution
The area of a trapezoid is given by the formula: Area = (1/2) * (b1 + b2) * h. Here, b1 = 10 cm, b2 = 6 cm, and h = 4 cm. Area = (1/2) * (10 + 6) * 4 = 32 cm².
Correct Answer:
A
— 32 cm²
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Q. In a trapezoid, if the lengths of the two parallel sides are 8 cm and 5 cm, and the height is 4 cm, what is the area of the trapezoid?
A.
26 cm²
B.
32 cm²
C.
40 cm²
D.
20 cm²
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Solution
The area of a trapezoid is calculated using the formula: Area = (1/2) × (b1 + b2) × height. Here, Area = (1/2) × (8 cm + 5 cm) × 4 cm = 26 cm².
Correct Answer:
A
— 26 cm²
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Q. In triangle ABC, if angle A = 45 degrees and angle B = 55 degrees, what is the measure of angle C?
A.
80 degrees
B.
90 degrees
C.
100 degrees
D.
70 degrees
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Solution
The sum of angles in a triangle is 180 degrees. Therefore, angle C = 180 - (45 + 55) = 80 degrees.
Correct Answer:
A
— 80 degrees
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