Does It Look the Same — Practice

Question 1

How many lines of symmetry does a square have?

Accepted Answer

Four: two diagonals, one vertical, and one horizontal.

Question 2

Does a rectangle look the same after a quarter turn? Explain.

Accepted Answer

No. After a 90 degree turn it stands upright instead of lying flat; it matches only after a half turn (180 degrees) or full turn.

Question 3

What is the order of rotational symmetry of an equilateral triangle?

Accepted Answer

Order 3 (it matches at 120, 240, and 360 degrees).

Question 4

Why does a circle have infinite lines of symmetry?

Accepted Answer

Any line through its centre divides it into two identical halves, and there are infinitely many such lines.

Practice — Does It Look the Same