Classifying Quadrilaterals — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Which claim is TRUE?
A) Every square is a rectangle
B) Every rectangle is a square
C) Every trapezoid is a parallelogram
D) Every rhombus has right angles
Grade 4 students see squares always have 4 right angles, so every square is a rectangle.
2. A shape has 4 sides, 2 pairs of parallel sides, and 4 equal sides. It must be a ___.
A) Rhombus (or square)
B) Trapezoid
C) Triangle
D) Pentagon
Grade 4 work classifies 4 equal sides + parallel pairs as a rhombus, possibly a square.
3. Which is NOT always true of a parallelogram?
A) It has 4 right angles
B) It has 2 pairs of parallel sides
C) Opposite sides are equal
D) It has 4 sides
Grade 4 students know not every parallelogram has right angles; only rectangles do.
4. Which shape is BOTH a rhombus and a rectangle?
A) Square
B) Trapezoid
C) Slanted parallelogram
D) Plain rectangle
Grade 4 work shows the shape that satisfies both rhombus and rectangle rules is a square.
Part B: Fill in the Blank
Write the correct answer on each line.
1. A quadrilateral with 4 right angles is always a rectangle.
Grade 4 students apply the 4-right-angle rule to mark rectangles.
2. A parallelogram with all sides equal but no right angles is a rhombus.
Grade 4 work labels equal-side parallelograms without right angles as rhombuses.
3. A four-sided shape with no parallel sides is NOT a parallelogram.
Grade 4 students see no parallel sides means it cannot be a parallelogram.
4. A square is the only shape that is both a rectangle and a rhombus.
Grade 4 lessons show squares satisfy both the rectangle and rhombus rules.
5. A trapezoid has exactly one pair of parallel sides.
Grade 4 work defines trapezoids by exactly one pair of parallel sides.