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 `ABCD` where `bar{AD}` || `bar{BC}` and `bar{AD} ~= bar{BC}`
Prove: `bar{AB} " || " bar{CD}`

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

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

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

1. `16 m^2`
2. `24 m^2`
3. `32 m^2`
4. `48 m^2`

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 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 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 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 8 Angles

Find the measure of one angle of the following polygon.

1. `135deg`
2. `1080deg`
3. `1440deg`
4. `180deg`

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 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. `1/3`
2. `2/3`
3. `2/6`
4. `5/6`

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 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 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

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

The rectangle has a width that measures 100 yards. The length is three times the width. What is the perimeter of the rectangle in yards?

1. 400 yards
2. 800 yards
3. 900 yards