Classifying Quadrilaterals — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Grade 4 attributes: 4 right angles, 2 pairs of parallel sides, NO equal-length sides between adjacent pairs. Which shape is described?
A) Square
B) Rectangle (non-square)
C) Rhombus
D) Trapezoid
Right angles + two pairs of parallel sides = rectangle; unequal adjacent sides means it is not a square.
2. Attributes: 4 congruent sides, 2 pairs of parallel sides, diagonals perpendicular, NO right angles. Which Grade 4 shape is it?
A) Square
B) Rhombus (non-square)
C) Rectangle
D) Kite
Four congruent sides + perpendicular diagonals + no right angles = a non-square rhombus.
3. Attributes: exactly 1 pair of parallel sides, 2 congruent legs, 1 line of symmetry. Which shape is it?
A) Parallelogram
B) Isosceles trapezoid
C) Rhombus
D) Square
One pair of parallel sides + congruent legs + one line of symmetry = isosceles trapezoid.
4. Attributes: 4 congruent sides, 4 right angles, diagonals equal AND perpendicular. Which Grade 4 shape is described?
A) Rectangle
B) Rhombus
C) Square
D) Trapezoid
Four congruent sides + four right angles + equal AND perpendicular diagonals = square (the only shape with all these).
Part B: Fill in the Blank
Write the correct answer on each line.
1. A shape with 2 pairs of parallel sides and 4 right angles, but unequal adjacent sides, is a rectangle.
Two pairs of parallel sides and four right angles describe a rectangle; unequal adjacent sides rule out square.
2. A shape with exactly 1 pair of parallel sides is a trapezoid.
Grade 4 defines a trapezoid as a quadrilateral with exactly one pair of parallel sides.
3. A quadrilateral with 4 congruent sides but no right angles is a rhombus.
Four congruent sides with no right angles defines a non-square rhombus.
4. A parallelogram whose diagonals are equal AND perpendicular must be a square.
Equal diagonals belong to rectangles; perpendicular diagonals belong to rhombuses; both together force a square.
5. A quadrilateral with 2 pairs of adjacent congruent sides but no parallel sides is a kite.
A kite has two pairs of adjacent congruent sides and one line of symmetry, with no parallel sides required.