5th Grade Classifying Two-Dimensional Figures Test Solutions and Scoring (PDF)

• A: rectangle (4 right angles, sides not all equal)
• B: rhombus (4 equal sides, no right angles)
• C: trapezoid (one pair of parallel sides)
• D: square (4 equal sides and 4 right angles)

Scoring: 1 point for each correct name.

1. True. A rhombus has two pairs of parallel sides, so it is a parallelogram.
2. False. A parallelogram does not need right angles. A slanted parallelogram is not a rectangle.

Scoring: 1 point for each correct answer with a reason.

Two sides are 10 cm, so it is isosceles. All angles are less than 90°, so it is acute.

Isosceles and acute

Scoring: 1 point for the classification by sides, 1 point for the classification by angles.

The rhombus has 4 equal sides only. The rectangle has right angles only. The square has both.

Scoring: 1 point for each shape in the correct region.

The three sides are different: scalene. One angle is a right angle: right triangle.

Scalene right triangle

Scoring: 1 point for each correct classification.

A: parallelogram. B: rhombus. C: square.

Scoring: 1 point for each correct name.

Liam is not correct. A rhombus is any quadrilateral with 4 equal sides. A square has 4 equal sides, so it is a rhombus, even though it also has right angles.

Scoring: 1 point for saying he is not correct, 1 point for a reason that uses 4 equal sides.

Squares and rectangles always have 4 right angles. A rhombus, parallelogram or trapezoid can be slanted.

Square and rectangle

Scoring: 1 point for each correct shape; subtract 1 point for each extra shape, to a minimum of 0.