Classifying Quadrilaterals — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. Every square is also a rectangle because both have 4 right angles.
Grade 4 students learn squares satisfy the rectangle rule of 4 right angles.
2. Every square is also a rhombus because both have 4 equal sides.
Grade 4 work shows squares meet the rhombus rule of 4 equal sides.
3. A rectangle is always a parallelogram because it has 2 pairs of parallel sides.
Grade 4 lessons place rectangles inside the parallelogram family.
4. A rhombus is always a parallelogram because it has 2 pairs of parallel sides.
Grade 4 students see rhombuses also fit the parallelogram rule.
5. A four-sided shape with exactly one pair of parallel sides is a trapezoid.
Grade 4 work defines trapezoids by exactly one pair of parallel sides.
6. A parallelogram with 4 right angles is called a rectangle.
Grade 4 students recognize a parallelogram with 4 right angles is a rectangle.
7. A parallelogram with 4 equal sides is called a rhombus.
Grade 4 lessons label a parallelogram with 4 equal sides as a rhombus.
8. A parallelogram with 4 right angles AND 4 equal sides is a square.
Grade 4 students see that having both rules satisfied makes the shape a square.
9. A trapezoid is a quadrilateral, so it has 4 sides.
Grade 4 work begins all quadrilateral classification with the 4-sided rule.
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
→ 4 equal sides AND 4 right angles
4 equal sides AND 4 right angles
Rectangle
→ 4 right angles, opposite sides equal
4 right angles, opposite sides equal
Rhombus
→ 4 equal sides, no required right angles
4 equal sides, no required right angles
Trapezoid
→ Exactly one pair of parallel sides
Exactly one pair of parallel sides
Grade 4 students use defining properties to classify each quadrilateral.