Students fix three symmetry errors — a square given only 2 lines of symmetry, a circle given only 1, and a rectangle compared incorrectly to a square. Part B has four fill-in-the-blank questions about lines of symmetry and counts for equilateral triangles and pentagons. Part C has two short-answer questions about testing symmetry and why a rectangle has fewer lines.
Accurately counting lines of symmetry in regular shapes requires checking all possible lines, not just the most obvious ones.
Style:
Lines and Symmetry
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
A square has exactly 2 lines of symmetry.
Rewrite: A square has exactly 4 lines of symmetry: 2 diagonal and 2 through the midpoints of opposite sides.
2. Fix the sentence:
A circle has only 1 line of symmetry through its center.
Rewrite: A circle has infinitely many lines of symmetry because any line through the center divides it into equal halves.
3. Fix the sentence:
A rectangle always has 4 lines of symmetry just like a square.
Rewrite: A rectangle has 2 lines of symmetry through the midpoints of opposite sides. Its diagonals are not lines of symmetry.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. A line of symmetry divides a shape into two equal halves.
2. An equilateral triangle has 3 lines of symmetry.
3. A regular pentagon has 5 lines of symmetry.
4. A shape with no line of symmetry is called asymmetric.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. How can you test whether a line is a line of symmetry?
Fold the shape along the line. If both halves match exactly, the line is a line of symmetry.
2. Why does a rectangle have fewer lines of symmetry than a square?
A rectangle has unequal side lengths, so its diagonals do not create matching halves, while a square has equal sides so all four possible fold lines work.
Lines and Symmetry
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
A square has exactly 2 lines of symmetry.
Rewrite: A square has exactly 4 lines of symmetry: 2 diagonal and 2 through the midpoints of opposite sides.
2) Fix the sentence:
A circle has only 1 line of symmetry through its center.
Rewrite: A circle has infinitely many lines of symmetry because any line through the center divides it into equal halves.
3) Fix the sentence:
A rectangle always has 4 lines of symmetry just like a square.
Rewrite: A rectangle has 2 lines of symmetry through the midpoints of opposite sides. Its diagonals are not lines of symmetry.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) A line of symmetry divides a shape into two equal halves.
2) An equilateral triangle has 3 lines of symmetry.
3) A regular pentagon has 5 lines of symmetry.
4) A shape with no line of symmetry is called asymmetric.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) How can you test whether a line is a line of symmetry?
Fold the shape along the line. If both halves match exactly, the line is a line of symmetry.
2) Why does a rectangle have fewer lines of symmetry than a square?
A rectangle has unequal side lengths, so its diagonals do not create matching halves, while a square has equal sides so all four possible fold lines work.
Ready to Practice?
Complete each section carefully.
9 Questions
15-20 minutes
Auto-graded
Retry anytime
🏆
Questions Correct
0
Correct
0
Incorrect
0
Skipped
0:00
Time
0%
Score
Review Your Answers
See what you got right, missed, or skipped.