Students identify always-true quadrilateral statements, classify a four-equal-sides shape with 60°-120° angles, and determine which shape does not always have two pairs of parallel sides. Part B has five fill-in-the-blank problems about how many quadrilateral categories a square belongs to, adjacent angles in a parallelogram, and an isosceles trapezoid.
Reasoning about the quadrilateral hierarchy — including how many categories a single shape can belong to simultaneously — is the advanced geometry skill that prepares students for middle school coordinate geometry.
Style:
Classifying 2D Shapes
Part A: Multiple Choice
Circle the best answer for each question.
1. Which statement is always true?
A) All rectangles are squares
B) All parallelograms are rectangles
C) All squares are parallelograms
D) All trapezoids are parallelograms
2. A quadrilateral has four equal sides and angles of 60°, 120°, 60°, and 120°. What shape is it?
A) Square
B) Rectangle
C) Rhombus
D) Trapezoid
3. Which shape does NOT always have two pairs of parallel sides?
A) Rectangle
B) Parallelogram
C) Trapezoid
D) Rhombus
4. A parallelogram has one angle of 65°. What are the measures of its other three angles?
A) 65°, 115°, 115°
B) 65°, 65°, 165°
C) 55°, 120°, 120°
D) 65°, 25°, 25°
Part B: Fill in the Blank
Write the correct answer on each line.
1. A square belongs to 5 different quadrilateral categories: square, rhombus, rectangle, parallelogram, and quadrilateral.
2. If one angle of a parallelogram is 80°, the adjacent angle measures 100 degrees.
3. A quadrilateral with one pair of parallel sides and equal non-parallel sides is an isosceles trapezoid.
4. The diagonals of a square bisect each other at right angles and are equal in length.
5. A rectangle has two diagonals that divide it into 4 triangles.
Classifying 2D Shapes
★ Part A: Multiple Choice
Circle the best answer for each question.
1. Which statement is always true?
A) All rectangles are squares
B) All parallelograms are rectangles
C) All squares are parallelograms
D) All trapezoids are parallelograms
2. A quadrilateral has four equal sides and angles of 60°, 120°, 60°, and 120°. What shape is it?
A) Square
B) Rectangle
C) Rhombus
D) Trapezoid
3. Which shape does NOT always have two pairs of parallel sides?
A) Rectangle
B) Parallelogram
C) Trapezoid
D) Rhombus
4. A parallelogram has one angle of 65°. What are the measures of its other three angles?
A) 65°, 115°, 115°
B) 65°, 65°, 165°
C) 55°, 120°, 120°
D) 65°, 25°, 25°
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) A square belongs to 5 different quadrilateral categories: square, rhombus, rectangle, parallelogram, and quadrilateral.
2) If one angle of a parallelogram is 80°, the adjacent angle measures 100 degrees.
3) A quadrilateral with one pair of parallel sides and equal non-parallel sides is an isosceles trapezoid.
4) The diagonals of a square bisect each other at right angles and are equal in length.
5) A rectangle has two diagonals that divide it into 4 triangles.
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9 Questions
12-18 minutes
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