Quadrilaterals a (and polygons) Review

by Erin M Silcock

| 30 QuestionsFor questions 1 through 6, please use each of the following terms only once:

- Rectangle

- Kite

- Parallelogram

- Square

- Trapezoid

- Rhombus

1

1

A quadrilateral with both pairs of opposite sides parallel can best be described as a __________ .

2

1

A quadrilateral with all sides congruent can best be described as a __________ .

3

1

A quadrilateral with exactly one pair of parallel sides can best be described as a __________ .

4

1

A quadrilateral with opposite sides congruent and four right angles can best be described as a __________ .

5

1

A quadrilateral with two pairs of consecutive congruent sides with opposite sides not congruent can best be described as a __________.

6

1

A quadrilateral with four right angles and all sides congruent can best be described as a __________.

7

1

Michael draws a rectangle. Alexis thinks it might be a square. What would need to be true of the diagonals if the rectangle is also a square? (select all choices that would need to be true)

The diagonals would need to be parallel.

The diagonals would need to be perpendicular.

The diagonals would need to bisect the vertex angles.

The diagonals would need to be not congruent.

8

1

The diagonals of a trapezoid are always congruent.

True

False

9

1

Use the space below to draw or describe the situations in which the diagonals of a trapezoid are congruent.

10

1

In some quadrilaterals the diagonals bisect ALL vertex angles. Select the quadrilaterals that have this property.

square

rectangle

parallelogram

rhombus

trapezoid

kite

11

1

If both pairs of opposite sides are parallel, then the quadrilateral is a rhombus.

True

False

12

1

If both pairs of opposite sides of a quadrilateral are parallel, then the quadrilateral could be... (select all that apply)

square

rectangle

parallelogram

rhombus

trapezoid

kite

13

1

Each interior angle of a regular polygon is equal to 160 degrees. Determine the number of sides of the polygon.

14

1

Chelsea draws a 16-sided polygon. What is the sum of all interior angles of this 16-gon?

15

1

If the 16-gon that Chelsea drew is a regular polygon, then what is the measure of each interior angle?

16

1

A quadrilateral ABCD is graphed using the points A(-2,1), B(0,5), C(3,4), and D(1,0). Is this a parallelogram or a rectangle? (Show your work here. Select your answer in the next problem.)

17

1

A quadrilateral ABCD is graphed using the points A(-2,1), B(0,5), C(3,4), and D(1,0). Is this a parallelogram or a rectangle?

parallelogram

rectangle

18

1

A trapezoid and a rhombus are both what type of shape?

square

parallelogram

quadrilateral

kite

19

1

Which of the following is NOT a parallelogram?

rhombus

kite

square

rectangle

20

1

Which property is true of ALL parallelograms?

Consecutive angles are congruent.

The diagonals bisect each other.

Consecutive sides are parallel.

Opposite sides are perpendicular.

21

1

Which of the following is a property of ALL squares?

No sides are parallel.

Opposite sides are not congruent.

Opposite vertex angles are not congruent.

The diagonals bisect each other.

22

1

Which of the following has congruent base angles?

all trapezoids

all isosceles trapezoids

all kites

all quadrilaterals

23

1

Which of the following is a property of all rectangles?

The diagonals are perpendicular.

The diagonals bisect the vertex angles.

Opposite sides are congruent.

Only one pair of opposite sides is parallel.

24

1

Which of the following has four congruent sides?

rectangle

kite

rhombus

trapezoid

25

1

Cyrus plots the following points: A(-3,-2), B(3,-1), C(3, 1). Where should Cyrus plot point D so that the figure formed is a parallelogram? (Show your work here. Select your answer in the next problem.)

26

1

Cyrus plots the following points: A(-3,-2), B(3,-1), C(3, 1). Where should Cyrus plot point D so that the figure formed is a parallelogram?

(-3,1)

(-3,0)

(-2,1)

(-2,0)

27

1

Michael plots and connects the following points: A(-3,2), B(1,1), C(-3,4), and D(-5,1). Which best describes the quadrilateral? (Show your work here. Select your answer in the next problem.)

28

1

Michael plots and connects the following points: A(-3,2), B(1,1), C(-3,4), and D(1,5). Which best describes the quadrilateral?

rectangle

rhombus

square

trapezoid

29

1

Rate how you liked this form of review (1 = not at all, 5 = a lot)

1

2

3

4

5

30

1

Explain your response from the question above.

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