This sheet tackles the symmetry and diagonal claims fifth graders most often get wrong. You correct 'a rectangle has one line of symmetry,' the sweeping idea that all quadrilaterals have equal diagonals, and the count of symmetry lines on a regular pentagon.
Fill-in work pins down that a square has 4 lines of symmetry, a regular octagon has 8, and parallelogram diagonals bisect each other. The short-answer prompt 'Why is every square a rhombus but not every rhombus a square?' is the heart of the quadrilateral hierarchy — once you can explain it, the rest of the family tree clicks into place.
Style:
Classifying 2D Shapes
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
A rectangle has exactly one line of symmetry.
Rewrite: A rectangle has exactly two lines of symmetry.
2. Fix the sentence:
All quadrilaterals have equal diagonals.
Rewrite: Only some quadrilaterals, such as rectangles and squares, have equal diagonals.
3. Fix the sentence:
A pentagon has four lines of symmetry when it is regular.
Rewrite: A regular pentagon has five lines of symmetry.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. A regular octagon has 8 lines of symmetry.
2. The diagonals of a parallelogram bisect each other.
3. A shape with all sides equal but not all angles equal is an irregular polygon.
4. A square has 4 lines of symmetry.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Why is every square a rhombus but not every rhombus a square?
Every square has four equal sides, which makes it a rhombus. But a rhombus does not need right angles, so a rhombus with non-right angles is not a square.
2. A shape has six equal sides and six equal angles. Name it and state whether it is regular or irregular.
It is a regular hexagon because all six sides are equal and all six angles are equal.
Classifying 2D Shapes
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
A rectangle has exactly one line of symmetry.
Rewrite: A rectangle has exactly two lines of symmetry.
2) Fix the sentence:
All quadrilaterals have equal diagonals.
Rewrite: Only some quadrilaterals, such as rectangles and squares, have equal diagonals.
3) Fix the sentence:
A pentagon has four lines of symmetry when it is regular.
Rewrite: A regular pentagon has five lines of symmetry.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) A regular octagon has 8 lines of symmetry.
2) The diagonals of a parallelogram bisect each other.
3) A shape with all sides equal but not all angles equal is an irregular polygon.
4) A square has 4 lines of symmetry.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) Why is every square a rhombus but not every rhombus a square?
Every square has four equal sides, which makes it a rhombus. But a rhombus does not need right angles, so a rhombus with non-right angles is not a square.
2) A shape has six equal sides and six equal angles. Name it and state whether it is regular or irregular.
It is a regular hexagon because all six sides are equal and all six angles are equal.
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