Practice recognizing symmetry and deciding whether shapes are congruent.
Read each problem carefully. Show your work and explain your thinking when needed.
Identify line symmetry and compare congruent shapes
Math - Grade 4-5
- 1
A square has 4 equal sides. How many lines of symmetry does a square have?
- 2
A rectangle that is not a square has how many lines of symmetry?
- 3
Tell whether this statement is true or false: Two shapes are congruent if they have the same shape and the same size.
- 4
A triangle is turned clockwise but does not change size. Is it still congruent to the original triangle? Explain.
- 5
Shape A is a 3-inch by 5-inch rectangle. Shape B is also a 3-inch by 5-inch rectangle. Are the two rectangles congruent? Explain.
- 6
Shape A is a square with side length 4 units. Shape B is a square with side length 6 units. Are the two shapes congruent? Explain.
- 7
How many lines of symmetry does an equilateral triangle have?
- 8
How many lines of symmetry does a regular hexagon have?
- 9
A shape is folded along a line, and both halves match exactly. What does this tell you about the line?
- 10
Shape A and Shape B are the same size and shape, but Shape B is flipped. Are the shapes congruent? Explain.
- 11
A regular pentagon has how many lines of symmetry?
- 12
Explain the difference between symmetry and congruence.