Assertion Reasoning Quiz

Question 1 of 7

Assertion (A): A 2 cm × 8 cm rectangle and a 4 cm × 6 cm rectangle have equal perimeters but unequal areas.
Reason (R): A diagonal of a rectangle divides it into two equal-area triangles.

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.

Select one option. Answers are shown after the test.

Question 2 of 7

Assertion (A): The area of a trapezium is half the product of its two non-parallel sides and its height.
Reason (R): The area of a trapezium is ½ × height × sum of its parallel sides.

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.

Select one option. Answers are shown after the test.

Question 3 of 7

Assertion (A): Triangles PBC and QBC have equal areas.
Reason (R): They have the same base BC and equal perpendicular distances from the parallel line to BC.

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.

Select one option. Answers are shown after the test.

Question 4 of 7

Assertion (A): A diagonal divides a rectangle into two equal-area triangles.
Reason (R): The two triangles are congruent and together make the rectangle.

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.

Select one option. Answers are shown after the test.

Question 5 of 7

Assertion (A): Doubling the side of a square doubles its area.
Reason (R): If the side changes from s to 2s, the area changes from s² to 4s².

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.

Select one option. Answers are shown after the test.

Question 6 of 7

Assertion (A): Two parallelograms of equal base and equal perpendicular height can have different areas.
Reason (R): Area of a parallelogram is base × perpendicular 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.

Select one option. Answers are shown after the test.

Question 7 of 7

Assertion (A): A rhombus with diagonals 12 cm and 9 cm has area 54 cm².
Reason (R): The area of a rhombus equals the product of its diagonals.

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.

Select one option. Answers are shown after the test.

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