10 Question MCQ (including Assertion)

Question 1 of 10

Assertion (A):
The diagonals of a square uniquely bisect the interior angles of the square.
Reason (R):
The diagonals of a square are inherently unequal in length, forcing an uneven angular split.

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 quadrilateral that is both a kite and a parallelogram must be a rhombus.
Reason: A parallelogram has equal opposite sides, and a kite has equal adjacent pairs; together these force all four sides to be equal.

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

Select one option. Answers are shown after the test.

Question 3 of 10

A sign designer joins two congruent isosceles triangles having sides 9 cm, 9 cm and 6 cm along their 6 cm sides. What is the outer quadrilateral?

A Rectangle B Rhombus C Trapezium D Concave quadrilateral

Select one option. Answers are shown after the test.

Question 4 of 10

A window grille is a parallelogram. One diagonal is 14.6 cm long. The diagonals cross at O. What is AO?

A 3.65 cm B 7.3 cm C 14.6 cm D 29.2 cm

Select one option. Answers are shown after the test.

Question 5 of 10

A square-shaped garden has side 14 m. A path is made along one diagonal. How long is the path?

A 14 m B 7√2 m C 14√2 m D 28 m

Select one option. Answers are shown after the test.

Question 6 of 10

Two equilateral triangular plates of side 8 cm are welded on opposite sides of one common side. What shape is the outer boundary?

Outer boundary after joining two equilateral triangles of side 8 cm.

A Square B Isosceles trapezium C Rhombus D Rectangle

Select one option. Answers are shown after the test.

Question 7 of 10

Assertion (A):
If one interior angle of a rhombus is 90°, the rhombus mathematically becomes a square.
Reason (R):
In a rhombus, adjacent angles sum to 180° and opposite angles are equal. Therefore, one 90° angle mathematically forces all four angles to be 90°.

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 8 of 10

A designer draws a four-corner logo with three interior angles 88°, 97° and 105°. What must the fourth angle be?

A 70° B 75° C 80° D 90°

Select one option. Answers are shown after the test.

Question 9 of 10

In a square park of side 10 m, the midpoints of the four sides are joined in order to make a jogging track UVWX. What is UVWX?

U, V, W and X are the midpoints of a square of side 10 cm.

A Rectangle B Square C Rhombus only D Kite

Select one option. Answers are shown after the test.

Question 10 of 10

Assertion: The diagonals of a rectangle are equal, but they need not intersect at 90°.
Reason: The diagonals of every rectangle are perpendicular.

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

Select one option. Answers are shown after the test.

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10 Question MCQ (including Assertion)