This Grade 4 worksheet asks students to sort eight shapes into overlapping categories - parallelograms, rectangles, rhombuses, and squares - using the quadrilateral hierarchy. Multiple-choice and fill-in items push learners to recognize that a square fits all four categories, while a rhombus fits parallelogram and rhombus, and an isosceles trapezoid fits only the trapezoid family, building strong Grade 4 classification skills.
Style:
Classifying Quadrilaterals
Part A: Multiple Choice
Circle the best answer for each question.
1. Shapes A-H include square, rectangle, rhombus, parallelogram, trapezoid, kite, and two general quadrilaterals. Which Grade 4 group must include the square AND the rhombus?
A) Rectangles
B) Parallelograms
C) Trapezoids
D) Kites only
2. Out of 8 shapes, only the square belongs to all four groups: parallelogram, rectangle, rhombus, and square. Why?
A) It has only one pair of parallel sides
B) It has 4 equal sides AND 4 right angles
C) It has only equal diagonals
D) It has no lines of symmetry
3. Which Grade 4 shape from the set fits ONLY the trapezoid category and no other parallelogram category?
A) Square
B) Rhombus
C) Isosceles trapezoid
D) Rectangle
4. If a shape is a rectangle but NOT a square, which Grade 4 categories does it belong to?
A) Rhombus and square
B) Parallelogram and rectangle
C) Trapezoid only
D) Kite and rhombus
Part B: Fill in the Blank
Write the correct answer on each line.
1. In the Grade 4 quadrilateral hierarchy, every square is also a rhombus.
2. A shape with 4 equal sides and 4 right angles fits in 4 Grade 4 categories at once.
3. An isosceles trapezoid is sorted into the trapezoid category only.
4. A non-square rhombus sorts into rhombus and parallelogram categories.
5. A general (scalene) parallelogram fits only the parallelogram category among the four families.
Classifying Quadrilaterals
★ Part A: Multiple Choice
Circle the best answer for each question.
1. Shapes A-H include square, rectangle, rhombus, parallelogram, trapezoid, kite, and two general quadrilaterals. Which Grade 4 group must include the square AND the rhombus?
A) Rectangles
B) Parallelograms
C) Trapezoids
D) Kites only
2. Out of 8 shapes, only the square belongs to all four groups: parallelogram, rectangle, rhombus, and square. Why?
A) It has only one pair of parallel sides
B) It has 4 equal sides AND 4 right angles
C) It has only equal diagonals
D) It has no lines of symmetry
3. Which Grade 4 shape from the set fits ONLY the trapezoid category and no other parallelogram category?
A) Square
B) Rhombus
C) Isosceles trapezoid
D) Rectangle
4. If a shape is a rectangle but NOT a square, which Grade 4 categories does it belong to?
A) Rhombus and square
B) Parallelogram and rectangle
C) Trapezoid only
D) Kite and rhombus
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) In the Grade 4 quadrilateral hierarchy, every square is also a rhombus.
2) A shape with 4 equal sides and 4 right angles fits in 4 Grade 4 categories at once.
3) An isosceles trapezoid is sorted into the trapezoid category only.
4) A non-square rhombus sorts into rhombus and parallelogram categories.
5) A general (scalene) parallelogram fits only the parallelogram category among the four families.
Ready to Practice?
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9 Questions
12-18 minutes
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