This Grade 4 worksheet asks students to draw and analyze diagonals of quadrilaterals. Fill-in items and matching exercises compare squares, rectangles, rhombuses, and parallelograms by diagonal length, perpendicularity, and bisection. Students learn that a square has equal and perpendicular diagonals, a rectangle has equal but not perpendicular ones, and a rhombus has perpendicular but unequal diagonals, deepening Grade 4 hierarchy understanding.
Style:
Classifying Quadrilaterals
Part A: Fill in the Blank
Write the missing word or number on each line.
1. A Grade 4 square has 2 diagonals that are equal and perpendicular.
2. In a parallelogram, the diagonals always bisect each other.
3. A rectangle's two diagonals are equal in length.
4. A rhombus has diagonals that meet at right angles.
5. Diagonals of a square are both equal and perpendicular.
6. Two diagonals of a quadrilateral connect opposite vertices.
7. In a kite, exactly one diagonal bisects the other diagonal.
8. Diagonals of a non-rectangle parallelogram are usually not equal.
9. A square's diagonals split it into 4 congruent right triangles.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
Square (Grade 4)
→ Equal and perpendicular diagonals
Diagonals bisect each other only
Rectangle (non-square)
→ Equal diagonals, not perpendicular
Equal diagonals, not perpendicular
Rhombus (non-square)
→ Perpendicular diagonals, not equal
Perpendicular diagonals, not equal
Parallelogram (general)
→ Diagonals bisect each other only
Equal and perpendicular diagonals
Classifying Quadrilaterals
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) A Grade 4 square has 2 diagonals that are equal and perpendicular.
2) In a parallelogram, the diagonals always bisect each other.
3) A rectangle's two diagonals are equal in length.
4) A rhombus has diagonals that meet at right angles.
5) Diagonals of a square are both equal and perpendicular.
6) Two diagonals of a quadrilateral connect opposite vertices.
7) In a kite, exactly one diagonal bisects the other diagonal.
8) Diagonals of a non-rectangle parallelogram are usually not equal.
9) A square's diagonals split it into 4 congruent right triangles.
★ Part B: Matching
Match each item on the left to the correct answer on the right.
1) Match each item to its correct answer.
Square (Grade 4)
→ Equal and perpendicular diagonals
Diagonals bisect each other only
Rectangle (non-square)
→ Equal diagonals, not perpendicular
Equal diagonals, not perpendicular
Rhombus (non-square)
→ Perpendicular diagonals, not equal
Perpendicular diagonals, not equal
Parallelogram (general)
→ Diagonals bisect each other only
Equal and perpendicular diagonals
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10 Questions
10-15 minutes
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