10 Question MCQ (including Assertion)

Question 1 of 10

Assertion (A): The same parallelogram may have different base-height pairs that give the same area.
Reason (R): Any side can be used as a base with the length of an adjacent side as its height.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

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Question 2 of 10

Several parallelograms stand on equal bases between the same two parallel lines. What must be equal?

A Their perimeters B Their areas C Their sloping sides D All their angles

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Question 3 of 10

Find the area of the trapezium shown.

A 180 cm² B 360 cm² C 117 cm² D 234 cm²

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Question 4 of 10

Assertion (A): A triangle of base 10 cm and height 7 cm has area 35 cm².
Reason (R): The area of a triangle equals base × height.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

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Question 5 of 10

A rectangular path surrounds a park as shown.

What is the area of the path?

A 883 m² B 763 m² C 560 m² D 1323 m²

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Question 6 of 10

Assertion (A): A hexagon can be divided from one vertex into four non-overlapping triangles.
Reason (R): The area of a polygon can be obtained by adding areas of a triangular partition.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

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Question 7 of 10

Two congruent trapeziums, each with parallel sides a and b and height h, are joined to form a parallelogram. What is the area of one trapezium?

A h(a+b) B 2h(a+b) C h(a−b) D ½h(a+b)

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Question 8 of 10

From one vertex, a pentagon can be divided without overlap into how many triangles?

A 2 B 5 C 4 D 3

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Question 9 of 10

M is the midpoint of side BC of triangle ABC. Which statement is always true?

A AB = AC B The two smaller triangles have equal perimeters C Triangles ABM and ACM have equal areas D AM is perpendicular to BC

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Question 10 of 10

A 2-acre plot reserves 21,780 ft² for a playground. What percentage of the plot remains for other uses? Use 1 acre = 43,560 ft².

A 50% B 60% C 75% D 25%

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10 Question MCQ (including Assertion)