zMATH 170  - Unit 20: Polygons and Quadrilaterals

Polygons


1)

Name each shape. State the letter and then the answer.


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2)

List the names of the shapes in problem #1 that are regular polygons. (Hint: There are two.)


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Quadrilaterals

For problems #3 through #9, state the quadrilateral that is described.


3)

A parallelogram with congruent sides and no right angles.


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4)

A parallelogram with congruent sides and all right angles.


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5)

A rhombus with right angles.


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6)

A quadrilateral with only one pair of parallel sides.


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7) A quadrilateral in which opposite sides are parallel.

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8)

A four-sided figure with no parallel sides.


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9)

A parallelogram with right angles but not four congruent sides.


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10)

Identify each of the quadrilaterals by applying all the properties present in the shape. Use tracing paper to determine congruent lengths and angles. If you don’t have tracing paper or paper with some transparency, use a ruler and protractor to measure the lengths of the sides and angles. State the letter and then the name of the quadrilateral.


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For problems #11 through #15, select true or false.


11)

All rectangles are parallelograms.


12)

All quadrilaterals are trapezoids.


13)

All squares are rhombi.


14)

All rhombi are squares.


15) Some trapezoids are parallelograms.

Review


16)

If Janelle grows three inches over the summer and was 60 inches tall at the beginning of summer, what percent did her height increase over the summer?


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17)

Sales tax in Randy’s county is 6%. What amount of tax must he pay on a stereo priced at $89?


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18)

Anna scored 27 questions right on her test. She scored a 90%. How many questions were on the test?


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Exactly 80 one-foot square tiles are needed to cover the floor of a rectangular room. Use this information to answer questions #19 and #20.


19)

What are the possible lengths and widths of the room in whole feet? Name three possibilities.


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20)

What set of room dimensions gives the smallest perimeter? What is the perimeter?


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21)

12 is the absolute value of what two integers?


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22)

Evaluate. 14 + (–10 – 9)


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23)

Evaluate. 


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24)

Fill in the blank with less than, greater than, or equal.


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25)

Find the measure of the third angle in the right triangle.


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