10 Question MCQ (including Assertion)

Question 1 of 10

Assertion (A): A rectangle cannot have a 9 cm side and a 7 cm diagonal.
Reason (R): The diagonal must be longer than either side of a non-degenerate 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 2 of 10

The displayed 8 cm by 4 cm rectangle has a diagonal. Why does the diagonal not split the corner into 45° and 45°?

Diagonal of an 8 cm by 4 cm rectangle

A The diagonal is too short. B The corner is not 90°. C Rectangles have no diagonals. D The adjacent sides are unequal.

Select one option. Answers are shown after the test.

Question 3 of 10

Assertion (A): In the displayed 7 cm by 3 cm rectangle, CD = 7 cm.
Reason (R): CD is adjacent to AB.

A 7 cm by 3 cm 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 4 of 10

DC is 4 cm and diagonal DB is 6 cm. Which point in the figure determines the height of the rectangle?

Constructing a 4 cm side and 6 cm diagonal

A The midpoint of DC B Any point on the arc C The intersection of the radius-6 arc with the perpendicular at C D A point 4 cm from D on DC

Select one option. Answers are shown after the test.

Question 5 of 10

A rectangle can be divided exactly into two identical squares. What must be its length:breadth ratio?

Rectangle split into two squares

A 1:1 B 3:1 C 2:1 D 4:1

Select one option. Answers are shown after the test.

Question 6 of 10

Assertion (A): PQRS is a valid name for the shown square.
Reason (R): The order P-Q-R-S jumps across a diagonal.

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

Two identical 3 cm squares are joined edge to edge. What are the rectangle’s dimensions?

Two identical squares

A 6 cm by 3 cm B 3 cm by 3 cm C 6 cm by 6 cm D 9 cm by 3 cm

Select one option. Answers are shown after the test.

Question 8 of 10

Assertion (A): For a 5 cm side and 8 cm diagonal, B lies on a radius-8 arc centred at D.
Reason (R): The arc must instead be centred at C because C lies on the perpendicular.

Side DC = 5 cm; diagonal DB = 8 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.

Question 9 of 10

B and C are 7 cm apart and AB = AC = 7 cm is required. Which compass setting constructs A?

Constructing an equilateral triangle

A Radius 3.5 cm from both B Radius 14 cm from B only C Radius 7 cm from both B and C D Different arbitrary radii

Select one option. Answers are shown after the test.

Question 10 of 10

The dot-grid quadrilateral has equal sides but one pair of adjacent sides is not perpendicular. What is it?

Equal-sided dot-grid quadrilateral

A A square B A rectangle with unequal sides C A circle D A rhombus that is not a square

Select one option. Answers are shown after the test.

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10 Question MCQ (including Assertion)