Free Printable MST QUADRILATERALS

1.

It is a quadrilateral with no pair of sides are parallel and congruent.

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Trapezium

2.

How many diagonals does a convex quadrilateral have?

a)

1

b)

2

c)

3

d)

4

3.

The diameter of the topmost layer of the cake is 6 inches and the bottom layer is 20 inches. How long is the middle layer? The diameter of the topmost layer of the cake is 6 inches and the bottom layer is 20 inches. How long is the middle layer?

a)

7 inches

b)

8 inches

c)

9 inches

d)

13 inches

4.

The figure shows Quadrilateral MATH .If $m\angle M=\left(x+\ 40\right)\degree$ and $m\angle T=\left(2x\ +\ 10\right)\degree$ , what is $m\angle M?$

a)

$30\degree$

b)

$50\degree$

c)

$70\degree$

d)

$90\degree$

5.

If FGHJ is a kite , find $m\angle GFJ.$

a)

$70\degree$

b)

$75\degree$

c)

$80\degree$

d)

$90\degree$

6.

The diagonal of a square has length b. How long is each of its sides?

a)

$\frac{b\sqrt{2}}{2}$

b)

$b\sqrt{2}$

c)

$\frac{x\sqrt{2}}{2}$

d)

b

7.

Which of the following statements is not necessarily true about the given parallelogram?

a)

$\angle A\cong\angle C$

b)

$\angle A\ and\ \angle C\ are\ \sup plementary.$

c)

$AC\cong BD$

d)

$AE\cong EC$

8.

Quadrilateral WISE is a parallelogram. If WE = 3x + 6 and IS = x + 16, what is WE?

a)

5

b)

6

c)

20

d)

21

9.

In the parallelogram CARE, $m\angle R\ =\ 2x\ -\ 10$ and $m\angle C=4\ \left(x-20\right)+10$
, what is $m\angle E?$

a)

$150\degree$

b)

$50\degree$

c)

$40\degree$

d)

$30\degree$

10.

Quadrilateral WISH is a parallelogram. if $m\angle H=2x$ and $m\angle W=5x+40$
Find $m\angle W.$

a)

$20\degree$

b)

$70\degree$

c)

$140\degree$

d)

$150\degree$

11.

What is the measure of BE?

a)

1

b)

2

c)

3

d)

4

12.

ACDF is a trapezoid with BE as the median.

If DF = x - 2 then AC = x + 4,

BE = 12, what is the value of x?

a)

11

b)

12

c)

13

d)

14

13.

The area of kite CLAY = 84 cm² and LY = 14 cm , what is the measure of AC?

a)

12 cm

b)

84 cm

c)

42 cm

d)

10 cm

14.

Which statement is true?

a)

All quadrilaterals are parallelogram.

b)

All quadrilaterals are parallelogram.

c)

All quadrilaterals are squares.

d)

All squares are quadrilaterals.

15.

The segment that joins the midpoints of two sides of a triangle has a length equal to_____ the length of the third side.

a)

length

b)

half

c)

thrice

d)

twice

16.

Which description DOES NOT guarantee that a quadrilateral is a rectangle?

a)

A quadrilateral has all four right angles.

b)

A quadrilateral has diagonals that are congruent and that bisect each other.

c)

A quadrilateral has angles congruent.

d)

A parallelogram has congruent side.

17.

Two consecutive angles of a parallelogram measures

(3x + 42) and (9x - 18). What are the measures of the angles?

a)

$13\degree,\ 167\degree$

b)

$58.5\degree,\ 31.5\degree$

c)

$39\degree,\ 141\degree$

d)

$81\degree,\ 99\degree$

18.

Which of the following statements is true?

a)

All rectangles are squares.

b)

All rhombi are squares.

c)

All rectangles are parallelograms.

d)

All parallelograms are rectangle.

19.

Joy is designing a window box. She wants the end of the box to be a trapezoid .If she wants to put a shelf in the middle for the plants to rest on, about how wide make the shelf?

a)

20 in

b)

19 in

c)

18 in

d)

17 in

20.

Which of the following has exactly one pair of opposite sides are parallel

a)

kite

b)

parallelogram

c)

rhombus

d)

trapezoid

21.

The keys of the xylophone shown form a trapezoid. If the length of the lower pitched C is 6 in long and the higher pitched D is 1.8 inches long ,how long is the G key?

a)

1.2 in

b)

2.9 in

c)

3.9 in

d)

4.9 in

22.

A trapezoid has its bases equal to 150m and 360m respectively. What is the length of its median?

a)

75 m

b)

180 m

c)

255 m

d)

510 m

23.

If quadrilateral ABCD is a kite where $m\angle A\ =74\degree and\ m\angle D=105\degree$
, what is $m\angle C?$

a)

$75\degree$

b)

$76\degree$

c)

$77\degree$

d)

$78\degree$

24.

Which of the following quadrilaterals has diagonals that DO NOT bisect each other?

a)

Square

b)

Rectangle

c)

Rhombus

d)

Trapezoid

25.

One angle of a parallelogram ABCD is four times the other. What is the measure of the smaller angle?

a)

$18\degree$

b)

$36\degree$

c)

$54\degree$

d)

$72\degree$

26.

Quadrilateral JKLM is a rectangle. If $m\angle KJL=2x\ +\ 4$ and $m\angle JLK\ =\ 7x\ +5$ , find x.

a)

9

b)

10

c)

11

d)

12

27.

Which of the following quadrilaterals may not be a parallelogram ?

a)

b)

c)

d)

28.

What is the measure of $\angle E$

in rhombus HOME ?

a)

$78\degree$

b)

$90\degree$

c)

$105\degree$

d)

$180\degree$

29.

How do you describe any two opposite angles in a parallelogram?

a)

They are complementary.

b)

They are both right angles.

c)

They are always congruent.

d)

They are always supplementary.

30.

Which of the following quadrilaterals has diagonals that do not bisect each other?

a)

Square

b)

Rhombus

c)

Trapezoid

d)

Rectangle

31.

An equilateral triangle and a square have the same perimeter , if the square has area $144\ cm^2$ , what is
the area of the triangle/of the triangle?

a)

$64\sqrt{3}cm^2$

b)

$8\sqrt{3}cm^2$

c)

$64cm^2$

d)

$12\sqrt{3}cm^2$

32.

Two triangles are similar such that the ratio of their corresponding sides is 2:3 .If the perimeter of the larger triangle is 24 units , then what is the perimeter of the smaller triangle?

a)

8

b)

12

c)

15

d)

16

33.

Each side of a square is 6 cm. How long is its diagonal?

a)

$6\sqrt{2}cm$

b)

$2\ cm$

c)

$36\ cm$

d)

$36\sqrt{2}cm$

34.

What is the value of x in a proportion $\frac{x}{7}=\frac{3}{21}$ ?

a)

1

b)

2

c)

3

d)

4

35.

Which of the proportion leads to the equation uy = vx?

a)

$\frac{u}{x}=\frac{v}{y}$

b)

$\frac{u}{y}=\frac{v}{x}$

c)

$\frac{u+y}{y}=\frac{v+x}{x}$

d)

$\frac{u}{v}=\frac{y}{x}$

36.

Each pair of polygons is similar. Find the value of x.

a)

6

b)

4

c)

3

d)

2

37.

What is the value of x in the figure on the left?

a)

4

b)

$9\sqrt{5}$

c)

$4\sqrt{5}$

d)

5

38.

Quadrilateral ABCD is a parallelogram.
Suppose $m\angle B=m\angle D=35,$ find $m\angle C$ .

a)

$35\degree$

b)

$70\degree$

c)

$145\degree$

d)

$290\degree$

39.

If the three pairs of corresponding sides of two triangles are proportional, then the two triangles are similar by ___similarity theorem.

a)

SSS

b)

SAS

c)

AA

d)

none of the three

40.

$\Delta ABC\ and\ \Delta XYZ$ are two similar right triangles. If AC=18,
AB = 4 and XZ =12 , then how long is XY ?

a)

$\frac{8}{3}$

b)

$\frac{10}{3}$

c)

$\frac{14}{3}$

d)

$\frac{16}{3}$

41.

Suppose two triangles are similar . Which of the following corresponding values are not proportional to the corresponding sides of these triangles?

a)

area

b)

perimeter

c)

length of bisector

d)

length of median

42.

Mei is standing next to a statue in the park. If Mei is 5ft tall, her shadow is 3 ft. long and the statue’s shadow is 10 ½ ft. long. How tall is the statue?

a)

$\frac{100}{6}ft$

b)

$\frac{105}{6}ft$

c)

$\frac{5}{3}ft$

d)

$\frac{3}{10}ft$

43.

How many pairs of opposite congruent angles does a kite have?

a)

at least one

b)

exactly one

c)

none

d)

two

44.

The segment that joins the midpoints of two sides of a trapezoid has a length equal to______ the length of the sum of its bases.

a)

length

b)

half

c)

thrice

d)

twice

45.

If Lydia can type 80 words in two minutes , how long will it take Lydia to type 600 words?

a)

30 min

b)

20 min

c)

15 min

d)

10 min

46.

Two similar rectangles have a scale factor of 3:5 The perimeter of the larger rectangle is 65 meters. What is the perimeter of the small rectangle?

a)

29 m

b)

39 m

c)

49 m

d)

59 m

47.

The mainsail of a boat is shown .What is the length in feet of LN?

a)

52.5 ft

b)

65 ft

c)

72.5 ft

d)

75 ft

48.

An equation stating that two ratios are equal is called a ____.

a)

ratio

b)

proportion

c)

scale factor

d)

means

49.

The first and fourth terms of proportions are called _____.

a)

means

b)

extremes

c)

fraction

d)

ratio

50.

If $\frac{x}{5}=\frac{y}{4}$ , find the ratio of $\frac{x}{y}$ .

a)

$\frac{4}{5}$

b)

$\frac{5}{4}$

c)

20

d)

1

MST QUADRILATERALS

Total questions: 50

Worksheet time: 44mins

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