Assertion Reasoning Quiz

Question 1 of 6

Assertion (A): AO = OD, BO = OC and ∠DCO = ∠AOB prove △AOB ≅ △DOC by SAS.
Reason (R): For SAS, the equal angle must lie 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 2 of 6

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.

Question 3 of 6

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 4 of 6

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 5 of 6

Assertion (A): Sides PQ = 6 cm, QR = 4 cm and ∠P = 30° always determine one triangle.
Reason (R): An arc of radius 4 cm centred at Q can meet the 30° ray from P at two points.

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 6

Assertion (A): A circle of radius 6 cm is congruent to a circle of diameter 6 cm.
Reason (R): A circle of radius 6 cm has diameter 12 cm.

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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