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Name ______________________________ #_______ Date ___________________
Geometry
Properties of 2-Dimensional Shapes Unit
Performance Task (1)
Directions: Read each question carefully and work as quickly as possible. A good strategy is to answer the
questions you are most confident about first; then go back and tackle the more difficult ones. It is
important that you answer every question below with sufficient explanations. Your explanation may include
words, pictures, or other work. You will be scored on both your method and your answer. Be sure to label
and organize all your work.
1. Marisol says that a square is a rectangle because it has 4 right angles.
Arnie says that a square is a rhombus because it has 4 equal sides.
a. Who is correct?
Marisol is correct.
b. Explain and support your answer.
Marisol is correct because both a square and rectangle have
4 right angles, so a square is a rectangle.
Arnie is not correct because even though both a square and
rhombus have 4 equal sides, a rhombus does not have 4 right
angles like a square does. So, a square is not a rhombus.
2. Anwar says that if you cut a regular hexagon in half through two of its
vertices, two trapezoids will be created.
a. Do you think Anwar’s generalization is true?
Yes, Anwar is correct.
b. Explain and support your answer.
I know this because when using pattern blocks, two trapezoids
put together does make a regular hexagon with 6 congruent sides.
c. Anwar then drops a point in the center of his regular hexagon and
draws line segments from it. What specific shape will form if he
draws line segments from the center to all six vertices?
The specific shape will be “6” regular triangles.
d. Explain and support your answer.
I know this because “6” green triangles is equal to “1“yellow
hexagon when using pattern blocks.
3. Jesse is classifying quadrilaterals by drawing a chart.
a. What does Jesse’s chart look like? Draw a chart classifying
quadrilaterals.
Parallelogram
4 sides, 2 pairs of parallel lines/sides
Rectangle
4 sides, 2 pairs of parallel sides, 4 right angles
Rhombus
4 congruent sides, 2 pairs of parallel sides
Square
4 congruent sides, 4 right angles, 2 pairs of
parallel sides
Trapezoid
4 sides, only 1 pair of parallel sides
b. Jesse examines his chart and notes that all rectangles are
examples of parallelograms, but all parallelograms are not
rectangles. Why is this?
All parallelograms are not rectangles because rectangles have 4
right angles. But both rectangles and parallelograms have 2 pairs
of parallel sides, so rectangles are examples of parallelograms.
c. Explain.
Parallelograms do not have 4 right angles like rectangles do. They
have 2 acute angles and 2 obtuse angles.
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