Test Questions with Polygons

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Grade 5 Quadrilaterals CCSS: 5.G.B.3

Lucy says the shape shown is not a parallelogram because all four sides are not the same length. Is Lucy's reasoning correct and why?

1. Yes, Lucy is correct. The shape is not a parallelogram because all four sides are not the same length.
2. No Lucy is incorrect. The shape is a parallelogram because all four sides are the same length.
3. No, Lucy is incorrect. The shape is not a parallelogram because it has four sides, but the opposite sides are not parallel.
4. No, Lucy is incorrect. The shape is a parallelogram because it has four sides and the opposite sides are parallel.

Grade 10 Quadrilaterals CCSS: HSG-CO.C.11

What is the missing reason in step 4 of the following proof?

Given: Quadrilateral [math]ABCD[/math] where [math]bar{AD}[/math] || [math]bar{BC}[/math] and [math]bar{AD} ~= bar{BC}[/math]
Prove: [math]bar{AB} " || " bar{CD}[/math]

[math] \ \ \ \ \ \ \ \ \ \ \ \ " Statement " \ \ \ \ \ \ \ \ \ \ \ \ [/math]	[math] " Reason "[/math]
[math]1. bar{AD} " || " bar{BC} [/math]	[math]1. "Given"[/math]
[math]2. ang CBD ~= ang ADB [/math]	[math]2. "Alternate interior angles are congruent"[/math]
[math]3. bar{BC} ~= bar{AD}[/math]	[math]3. "Given"[/math]
[math]4. bar{BD} ~= bar{BD} [/math]	[math]4. ""[/math]
[math]5. Delta ABD ~= Delta CDB [/math]	[math]5. "Side-Angle-Side Postulate"[/math]
[math]6. ang ABD ~= ang CDB [/math]	[math]6. "Corresponding angles of congruent triangles are congruent"[/math]
[math]7. bar{AB} " || " bar{CD}[/math]	[math]7. "If two lines are cut by a transversal, and alternate interior"[/math] [math] \ \ \ \ \ " angles are congruent, the lines are parallel"[/math]

1. Reflexive Property
2. Diagonals of a parallelogram are congruent
3. Given by the diagram
4. Corresponding sides of congruent triangles are congruent

Grade 7 Area CCSS: 7.G.B.6

The area of the shape shown is 144 cm squared. What is the measurement of side BC?

1. 144 cm
2. 12 cm
3. 48 cm

Grade 5 Quadrilaterals CCSS: 5.G.B.3

Which best explains why the shape shown is not a parallelogram?

1. It has more than four sides.
2. It is a two-dimensional shape.
3. It has angles of the same measure.
4. It has opposite sides that are parallel.

Grade 7 Area CCSS: 7.G.B.6

Given the following measurements for trapezoid ABCD, what is the area?

AD = 4 cm
BC = 2 cm
Height = 5 cm

1. 8 square centimeters
2. 15 square centimeters
3. 10 square centimeters
4. 30 square centimeters

Grade 6 Area CCSS: 6.G.A.1

[math]bar (BC)[/math] measures 12 m and [math]bar (AB)[/math] measures 4 m.
What is the area of right triangle ABD?

1. [math]16 m^2[/math]
2. [math]24 m^2[/math]
3. [math]32 m^2[/math]
4. [math]48 m^2[/math]

Grade 5 Quadrilaterals CCSS: 5.G.B.4

Which one is NOT a name for this figure?

1. polygon
2. quadrilateral
3. parallelogram
4. trapezoid

Grade 6 Area

What is the area of this rectangle when the sides are 5 feet x 13.5 feet?

1. 13.5 sq ft
2. 67.5 sq ft
3. 25.7 sq ft
4. 67.5 ft

Grade 4 Perimeter CCSS: 4.MD.A.3

The shape shown has an area of 64 square inches. What is the perimeter?

1. 8 inches
2. 16 inches
3. 32 inches

Grade 4 Area CCSS: 4.MD.A.3

A square has a perimeter of 24 inches. What is the area of the square?

1. 36 square inches
2. 144 square inches
3. 12 square inches
4. 28 square inches

Grade 7 Area CCSS: 7.G.B.6

The trapezoid pictured has a height of 3 cm. The first base is 5 cm and the second base is 3 cm. What is the area?

1. 21 square centimeters
2. 12 square centimeters
3. 120 Square centimeters
4. 210 Square centimeters

Grade 4 Perimeter

Side BC measures 9 inches. Side CD is half of side BC. What is the perimeter of this shape?

1. 27 inches
2. 18.5 inches
3. 13.5 inches

Grade 3 Fractions and Ratios CCSS: 3.NF.A.3, 3.NF.A.3b

Look at the shapes.

What equivalent fraction represents the number of shapes with four sides?

1. [math]1/3[/math]
2. [math]2/3[/math]
3. [math]2/6[/math]
4. [math]5/6[/math]

Grade 5 Perimeter

The length of each side of the square is 3.4 cm. Find the perimeter.

1. 1.36 cm
2. 6.8 cm
3. 13.6 cm
4. 12.6 cm

Grade 8 Angles

Find the measure of one angle of the following polygon.

1. [math]135deg[/math]
2. [math]1080deg[/math]
3. [math]1440deg[/math]
4. [math]180deg[/math]

Grade 4 Perimeter CCSS: 4.MD.A.3

The area of the shape shown is 144 inches. What is the perimeter?

1. 24 inches
2. 144 inches
3. 48 inches

Grade 4 Quadrilaterals CCSS: 4.G.A.2

Name the following quadrilateral.

1. parallelogram
2. rectangle
3. rhombus
4. trapezoid

Grade 3 Perimeter CCSS: 3.MD.D.8

John wants to build a rectangular garden in his backyard. He needs to know how much fencing he will need to buy if his garden measures 4 feet by 6 feet. Help John by finding the perimeter of the garden.

1. 24 feet
2. 20 feet
3. 16 feet
4. 10 feet

Grade 5 Quadrilaterals CCSS: 5.G.B.3

This quadrilateral is a parallelogram.

1. True
2. False

Grade 3 Quadrilaterals CCSS: 3.G.A.1

Choose all the categories for this shape.

1. Polygon
2. Hexagon
3. Quadrilateral
4. Parallelogram
5. Rectangle
6. Square