Assertion Reasoning Quiz

Question 1 of 6

Assertion (A): Equal 7 cm arcs above XY and equal 9 cm arcs below XY can still locate its perpendicular bisector.
Reason (R): Each intersection point is equidistant from X and Y.

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): Three regular-hexagon corners fill a point.
Reason (R): Bisecting \(50°\) gives \(25°\).

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): Bisecting a \(90°\) angle produces \(45°\).
Reason (R): A \(4\times6\) grid needs 12 dominoes.

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): The shown \(9\times14\) rectangle can be domino-tiled.
Reason (R): A region with equal black and white square counts is always domino-tileable.

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): A region with 9 black and 7 white squares can be tiled by 8 dominoes.
Reason (R): Eight dominoes would cover 16 squares.

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): The angle-copy construction preserves the original angle.
Reason (R): The two construction triangles have equal arc-radius sides and an equal transferred chord, so they are congruent by SSS.

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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