10 Question MCQ (including Assertion)

Question 1 of 10

Which number cannot be the exact number of symmetry lines of a triangle?

Triangle symmetry possibilities

A 0 B 2 C 1 D 3

Select one option. Answers are shown after the test.

Question 2 of 10

Assertion (A): A ten-arm radial design has rotational order 10.
Reason (R): Its smallest rotational angle is \(360^\circ÷10=36^\circ\).

Ten identical radial arms

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

Only the top vertex of the equilateral triangle is marked. What symmetry remains for the complete marked design?

Equilateral triangle with one marked vertex

A Three reflection lines and order 3 B No reflection line and order 3 C One vertical reflection line and no non-trivial rotational symmetry D Three reflection lines and order 1

Select one option. Answers are shown after the test.

Question 4 of 10

A regular hexagon has one vertex marked. Which rotational order remains for the marked design?

Regular hexagon with one marked vertex

A 2 B 3 C 6 D 1

Select one option. Answers are shown after the test.

Question 5 of 10

Assertion (A): A non-rectangular parallelogram matches itself after a \(180^\circ\) turn.
Reason (R): It also matches after a \(90^\circ\) turn.

A non-rectangular parallelogram

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): An equilateral triangle has 3 reflection axes.
Reason (R): The same triangle has rotational order 3.

An equilateral triangle

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

The eight sectors alternate blue and gold. What is the smallest turn that preserves the colours?

Eight sectors with alternating colours

A \(45^\circ\) B \(135^\circ\) C \(180^\circ\) D \(90^\circ\)

Select one option. Answers are shown after the test.

Question 8 of 10

Assertion (A): A regular pentagon with only its top vertex marked retains one reflection axis.
Reason (R): The marked pentagon has rotational order 1.

Regular pentagon with one marked vertex

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

Which symmetry description fits the displayed kite?

A kite

A Exactly one reflection line and rotational order 1 B Two reflection lines and order 2 C No reflection line and order 2 D Four reflection lines and order 4

Select one option. Answers are shown after the test.

Question 10 of 10

Only the top-left corner cell of a \(4×4\) square grid is shaded. Which symmetry remains?

Square grid with one shaded corner

A Four reflection lines and order 4 B Two reflection lines and order 2 C No reflection line and order 2 D One diagonal reflection line and rotational order 1

Select one option. Answers are shown after the test.

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10 Question MCQ (including Assertion)