Geometry & Area and Perimeter

Three parallelograms are shown below. Why is each parallelogram a quadrilateral?

• A. Each parallelogram has exactly four sides.

• B. Each parallelogram has sides that are the same length.

• C. Each parallelogram has parallel sides.

• D. Each parallelogram has five sides.

The objects shown can be classified into groups based on their shape. Which best represents the classifications for these objects?

• Prism- eraser and toolbox

  Cylinder- can and drum

• cube- eraser and toolbox

  cylinder- can and drum

• prism- eraser and tool box

  sphere- can and drum

• cylinder- eraser and toolbox

  prism- can an drum

Sebastian drew two congruent squares shown. He divided one square into 2 congruent triangular parts. He divided the other square into 2 congruent rectangular parts. Which statement is true?

• B. Each triangular part has an area that is greater than the area of each rectangular part.

• D. Each rectangular part has an area that is greater than the area of each triangular part.

A polygon is shown below. Select two of the following that describes the polygon.

• The polygon has 6 sides.

• The polygon has 4 angles.

• The polygon has 4 right angles.

• The polygon has 4 sides with the same length.

• The polygon has 6 sides with the same length.

Robert took photographs of the street signs near his house. Which statement does NOT describe Robert's figures?

• A. All the signs are parallelograms.

• B. All the signs are squares.

• C. All the signs are quadrilaterals.

• D. All the signs are polygons.

Annie separated some figures into two sets. The figures in Set A have a common attribute. Which of these is the best description of the common attribute of the figures in Set A?

• They have at least one circular base.

• They have at least one edge.

• They have faces that are polygons.

• They have no vertices.

Pat is sewing three rectangular rugs. She has already finished one rug. She wants to sew two more rugs with the same area but the perimeter can be different. Select two of the following that have the same area as the rug she has finished.

• A. 8 x 3

• B. 15 x 2

• C. 5 x 10

• D. 10 x 3

Antonio wants to place his rug and toy box side by side in his bedroom. The shaded section of the model represents the rug and the white section represents the toy box. Which expression can be used to determine the amount of floor space Antonio needs in his bedroom for both pieces of furniture?

• 3 + 8

• (3 + 5) + (3 + 3)

• (3 × 5) + (3 × 3)

• (3 × 5) × (3 × 3)

Vanessa built a fence around his rectangular garden. The perimeter of the garden is 26 feet. The length of the garden is 8 feet. What is the width of the garden in feet?

• A. 5 ft

• B. 10 ft

• C. 8 ft

• D. 16 ft

Denise planted a flower garden with a rectangular section and a square section, as shown. What is the total area of the garden in square feet?

• 50 square feet

• 75 square feet

• 56 square feet

• 125 square feet