Symmetry Quiz
Questions: 16 · 10 minutes
1. A designer draws a straight line through the center of a perfect circle. Why is this line always a line of symmetry?
Reflection across the line pairs the two semicircles exactly.
The line divides the circumference into four equal arcs.
Every point in the circle lies directly on the line.
The line makes the circle rotate by half a turn.
2. A pattern's smallest positive rotation that maps it onto itself is 120 degrees. What is its order of rotational symmetry?
Order 1
Order 2
Order 4
Order 3
3. Where are the lines of symmetry of a non-square rectangle?
Only one diagonal is a line of symmetry.
They run along both diagonals.
They pass horizontally and vertically through the rectangle's center.
A non-square rectangle has no lines of symmetry.
4. How many lines of symmetry does a rhombus that is not a square have?
One line of symmetry
Two lines of symmetry
Three lines of symmetry
Four lines of symmetry
5. What is the order of rotational symmetry of a non-square rectangle?
Order 1
Order 2
Order 3
Order 4
6. How many lines of symmetry does a regular hexagon have?
Three lines
Six lines
Nine lines
Twelve lines
7. A point at (-4, 5) is reflected across the x-axis. What are its new coordinates?
The result is (4, 5), changing only the x-coordinate sign
The result is (4, -5), changing both coordinate signs
The result is (5, -4), swapping the coordinates and their signs
The result is (-4, -5), changing only the y-coordinate sign
8. What makes a line a line of symmetry for a figure?
Rotating the figure around the line returns it to its original position.
The line divides the figure into two regions with equal areas, regardless of shape.
Reflecting the figure across the line maps the figure exactly onto itself.
Every point on the figure is the same distance from the line.
9. What is the smallest positive angle that rotates a regular pentagon onto itself?
72 degrees
60 degrees
90 degrees
120 degrees
10. A point at (3, -2) is reflected across the y-axis. Where does it land?
At (3, 2), with only the y-coordinate changing sign
At (-3, 2), with both coordinate signs changing
At (-2, 3), with the coordinates swapping places
At (-3, -2), with only the x-coordinate changing sign
11. Reflecting the point (-2, 1) across the line y = x produces which point?
The image is (-2, -1), after changing the y-coordinate sign
The image is (-1, 2), after changing both coordinate signs
The image is (2, -1), after rotating the point halfway around the origin
The image is (1, -2), after swapping the x- and y-coordinates
12. A sheet of paper is folded once along a straight crease. One hole is punched away from the crease, and the paper is unfolded. What pattern should appear?
One hole, because the folded layers occupy the same position
Two holes lying directly on the crease
Two holes that are mirror images and equally distant from the crease
Four holes positioned at the corners of a rectangle
13. Which statement correctly describes the symmetries of a square?
It has two lines of symmetry and rotational symmetry of order 2.
It has four lines of symmetry but no non-trivial rotational symmetry.
It has four lines of symmetry and rotational symmetry of order 4.
It has two lines of symmetry and rotational symmetry of order 4.
14. A triangle is isosceles but not equilateral. How many lines of symmetry does it have?
Exactly one line
Exactly two lines
Exactly three lines
No lines
15. A tile design has vertical line symmetry but no horizontal line symmetry. Which action is guaranteed to leave the design looking unchanged?
Reflecting it across its vertical center line
Reflecting it across its horizontal center line
Rotating it by 180 degrees
Rotating it by 90 degrees
16. How many lines of symmetry does an equilateral triangle have?
One line
Three lines
Two lines
Six lines