10 Question MCQ (including Assertion)

Question 1 of 10

Assertion (A): If △ABC ≅ △PQR, then BC = QR.
Reason (R): The second and third vertices in the first name correspond to the second and third vertices in the second name.

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 10

Assertion (A): Triangle ABC has AB = 8 cm, AC = 5 cm and ∠BAC = 70°; triangle PQR has PQ = 8 cm, PR = 5 cm and ∠QPR = 70°. The triangles are congruent.
Reason (R): The equal 70° angle lies between the two equal side pairs.

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 10

Assertion (A): Workshop triangles JKL and MNO are right-angled at K and N; JL = MO = 13 cm and JK = MN = 5 cm. The triangles are congruent.
Reason (R): The 13 cm side must be a hypotenuse in one triangle but a leg in the other.

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 10

A circular lid has radius 12 cm. Which circular gasket is congruent to it?

A A gasket with radius 24 cm B A gasket with diameter 12 cm C Any gasket with circumference 12 cm D A gasket with diameter 24 cm

Select one option. Answers are shown after the test.

Question 5 of 10

Assertion (A): A 40°–60°–80° pennant and a 40°–60°–80° banner must be congruent even though no side length was recorded.
Reason (R): The same three angles fix shape but do not fix size.

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 10

Assertion (A): In kite ABCD with AB = AD and CB = CD, diagonal AC bisects ∠BAD.
Reason (R): Triangles ABC and ADC have three matching sides: AB = AD, BC = DC and AC common.

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 10

A 6 cm × 4 cm rectangle and a 12 cm × 2 cm rectangle both have area 24 cm². What is correct?

A They are congruent because their areas match. B They are not congruent because their side lengths differ. C They are congruent after rotation. D They are squares of equal size.

Select one option. Answers are shown after the test.

Question 8 of 10

Assertion (A): An equilateral triangle of side 8 cm has perimeter 24 cm.
Reason (R): An isosceles triangle with vertex angle 100° has base angles 40° each.

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 9 of 10

Assertion (A): If △MAP ≅ △NET, then AP = ET.
Reason (R): In the naming order, A corresponds to T.

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 10 of 10

Assertion (A): A diagonal divides a rectangle into two congruent triangles.
Reason (R): Two circles with radius 6 cm are congruent.

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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10 Question MCQ (including Assertion)