Free Printable Review for Final Exam in Geometry 20-21

1.

Which of the following is the correct formula in finding the distance between two points?

a)

$AB=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

b)

$AB=\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2$

c)

$AB=\sqrt{\left(x_2-x_1\right)+\left(y_2-y_1\right)}$

d)

$AB=\left(x_2-x_1\right)+\left(y_2-y_1\right)$

2.

What is the distance between the points

\left(1,1\right)

and

\left(4,5\right)

?

a)

$\sqrt{20}$ units

b)

$\sqrt{13}$ units

c)

$5$ units

d)

$\sqrt{61}$ units

3.

The coordinates of the endpoints of

\overline{AB}

is at

A\left(-7,4\right)

and

B\left(3,-2\right)

. How long is

\overline{AB}

?

a)

$\sqrt{136}$

b)

$\sqrt{112}$

c)

$8$

d)

$12$

4.

Which of the following is the correct formula in finding the coordinates of the midpoint of a segment given its endpoints?

a)

$M\left(\frac{x-y}{2}\right)\text{}$

b)

$M\left(\frac{x+y}{2}\right)$

c)

$M\left(\frac{x_2-x_1}{2}\ ,\ \frac{y_2-y_1}{2}\right)$

d)

$M\left(\frac{x_1+x_2}{2}\ ,\ \frac{y_1+y_2}{2}\right)$

5.

What are the coordinates of the midpoint of a segment whose endpoints are at $\left(3,-7\right)$ and $\left(-5,1\right)$ ?

a)

$\left(-1,-3\right)$

b)

$\left(1,3\right)$

c)

$\left(-2,-6\right)$

d)

$\left(2,6\right)$

6.

The midpoint of

\overline{YS}

is at

E\left(2,4\right)

. If one of the endpoints is at

Y\left(0,2\right)

, what are the coordinates of the other endpoint?

a)

$S\left(-2,0\right)$

b)

$S\left(-2,-4\right)$

c)

$S\left(4,6\right)$

d)

$S\left(4,8\right)$

7.

The midpoint of

\overline{YS}

is at

E\left(2,4\right)

. If one of the endpoints is at

Y\left(0,2\right)

, what are the coordinates of the other endpoint?

a)

$S\left(-2,0\right)$

b)

$S\left(-2,-4\right)$

c)

$S\left(4,6\right)$

d)

$S\left(4,8\right)$

8.

Which of the following is the correct formula in finding the slope of a line that passes through two points?

a)

$m=\frac{x_2-x_1}{y_2-y_1}$

b)

$m=\frac{y_2-y_1}{x_2-x_1}$

c)

$m=\frac{x_1+x_2}{y_1+y_2}$

d)

$m=\frac{y_1+y_2}{x_1+x_2}$

9.

Which of the following is the correct formula in finding the slope of a line that passes through two points?

a)

$m=\frac{x_2-x_1}{y_2-y_1}$

b)

$m=\frac{y_2-y_1}{x_2-x_1}$

c)

$m=\frac{x_1+x_2}{y_1+y_2}$

d)

$m=\frac{y_1+y_2}{x_1+x_2}$

10.

What is the slope of the given line?

a)

$\frac{2}{3}$

b)

$-\frac{2}{3}$

c)

$\frac{3}{2}$

d)

$-\frac{3}{2}$

11.

A line passes through the points $\left(4,1\right)$ and $\left(2,-5\right)$ . What is the slope of this line?

(a)

12.

Which of the following is the equation of the line that passes through $\left(-3,0\right)$ and is perpendicular with the line $3x-4y=6$ .

a)

$4x+3y+12=0$

b)

$3x-4y+12=0$

c)

$4x+3y-12=0$

d)

$3x-4y-12=0$

13.

Which of the following pairs of lines is considered parallel?

a)

$y=3x+2$ and $y=-\frac{1}{3}x+1$

b)

$2x-y=4$ and $4x-2y=8$

c)

$y=\frac{2}{3}x+4$ and $2x-3y=11$

d)

$3x+5y=9$ and $5x-3y=12$

14.

What angle pairs remain congruent regardless whether the two lines being intersected by a transversal are parallel or not?

a)

linear pair

b)

vertical angles

c)

corresponding angles

d)

same side interior angles

15.

The slope of line 1 is $-\frac{2}{5}$ while the slope of line 2 is $\frac{5}{2}$ . Are the lines parallel or perpendicular?

a)

parallel

b)

perpendicular

c)

neither

16.

Lines M and N are parallel. If the slope of line M is $\frac{3}{4}$ , what is the slope of line N?

a)

$\frac{4}{3}$

b)

$-\frac{4}{3}$

c)

$\frac{3}{4}$

d)

$-\frac{3}{4}$

17.

Based on the given illustration, what is the value of y?

a)

109

b)

71

c)

81

d)

119

18.

What is the value of x in the given illustration?

a)

25

b)

11

c)

18

d)

23

19.

What should be the value of x so that lines 1 and 2 will be parallel?

(a)

20.

In the figure, $\overrightarrow{NM}\ \parallel\ \overrightarrow{PQ}$ , $m\angle MNO=43\degree$ and $m\angle QPO=37\degree$ . What is the measure of $\angle NOP$ ?

a)

$70\degree$

b)

$280\degree$

c)

$80\degree$

d)

$65\degree$

21.

Which of the following is the correct surface area of the given square pyramid?

a)

$172.8\ yd^2$

b)

$68.4\ yd^2$

c)

$136.8\ yd^2$

d)

$17.4\ yd^2$

22.

What is the surface area of the given prism?

a)

$198\ cm^2$

b)

$99\ cm^2$

c)

$162\ cm^2$

d)

$18\ cm^2$

23.

How much paper material is needed to make the label of this can?

a)

$22\pi\ in^2$

b)

$18\pi\ in^2$

c)

$26\pi\ in^2$

d)

$11\pi\ in^2$

24.

Which of the following is the correct surface area of the given sphere?

a)

$1600π\ ft^2$

b)

$6400π\ ft^2$

c)

$800π\ ft^2$

d)

$3200π\ ft^2$

25.

Which of the following is the correct surface area of the given cylinder?

a)

$72π\ cm^2$

b)

$90π\ cm^2$

c)

$216π\ cm^2$

d)

$18π\ cm^2$

26.

A roof is shaped like a square pyramid. One bundle of shingles covers 25 square feet. How many bundles should you buy to cover the roof?

(a)

27.

What is the volume of the given figure?

a)

$24π\ cm^3$

b)

$48π\ cm^3$

c)

$96π\ cm^3$

d)

$120π\ cm^3$

28.

What is the volume (in cubic inches) of the rectangular prism?

(a)

29.

Which of the following is the correct volume of the given solid figure?

a)

$33\pi\ mm^3$

b)

$99\pi\ mm^3$

c)

$66\pi\ mm^3$

d)

$11\pi\ mm^3$

30.

What is the volume (in cubic inches) of the given figure?

(a)

31.

What is the volume (in cubic inches) of this figure?

(a)

32.

Which of the following is the correct volume of the given hemisphere?

a)

$486π\ cm^3$

b)

$972π\ cm^3$

c)

$13122π\ cm^3$

d)

$26244π\ cm^3$

33.

What is the volume (in cubic feet) of the given rectangular pyramid?

(a)

34.

A cylindrical water tank that is 25 feet high and has a diameter of 12 feet is to be filled with water. About 140 cubic feet of water is being pumped in the tank every minute. How long will it take before the tank gets full?

(Round to the nearest whole minute)

a)

15 minutes

b)

20 minutes

c)

22 minutes

d)

27 minutes

35.

A rectangular aquarium is to be filled with both sand and water. The aquarium is 30 inches long, 20 inches wide, and 15 inches high. About 1200 cubic inches of sand will be placed to fill the bottom part of the aquarium while the rest will be water. The water level should not exceed the line that is 3 inches below the top of the aquarium to avoid over spilling. How much water (in cubic inches) is needed to fill the aquarium?

(a)

36.

The following are properties of a rhombus EXCEPT:

a)

Diagonals are perpendicular.

b)

Diagonals are congruent.

c)

A diagonal bisects a pair of opposite angles.

d)

Diagonals bisect each other.

37.

Rectangles, rhombuses, and squares are all parallelograms.

a)

True

b)

False

38.

What am I?

"I am a quadrilateral with exactly one pair of opposite sides that are parallel to each other. My two other non-parallel sides are congruent."

a)

trapezoid

b)

isosceles trapezoid

c)

kite

d)

rhombus

39.

Which of the following is NOT a property of parallelograms?

a)

Opposite sides are congruent.

b)

Consecutive angles are supplementary.

c)

Diagonals are congruent.

d)

Diagonals bisect each other.

40.

A trapezoid can have more than one pair of parallel sides.

a)

True

b)

False

41.

Which of the following is NOT a property of a kite?

a)

One diagonal bisects the other diagonal.

b)

A pair of opposite angles are congruent.

c)

The diagonals are congruent.

d)

One diagonal bisects a pair of opposite angles.

42.

Is there enough information to determine if the given quadrilateral is a parallelogram?

a)

Yes, because the diagonals are congruent.

b)

Yes, because the diagonals bisect each other.

c)

Yes, because opposite sides are congruent.

d)

No, there is not enough information.

43.

ABCD is a parallelogram. If angle A is 45°, then what is the measure (in degrees) of angle C?

a)

45

b)

135

c)

90

d)

180

44.

What is the value of m?

(a)

45.

Given isosceles trapezoid TRAP. how long is segment ZT?

a)

3.54 units

b)

11.8 units

c)

5.9 units

d)

9.44 units

46.

Given isosceles trapezoid TRAP, what is the measure (in degrees) of

\angle ART

?

(a)

47.

Based on the given figure, how long is side TE?

a)

$\sqrt{13}$ units

b)

25 units

c)

5 units

d)

13 units

48.

Based on the given kite, what is the measure of

\angle ITE

?

a)

$74\degree$

b)

$37\degree$

c)

$87\degree$

d)

$106\degree$

49.

In the given trapezoid, MD is a midsegment. What is the value of x?

(a)

50.

ABCD and DECF are both squares. If BD=32 mm, what is the perimeter of DECF?

a)

16 mm

b)

32 mm

c)

48 mm

d)

64 mm

Review for Final Exam in Geometry 20-21

Total questions: 50

Worksheet time: 25mins

Similar Resources on Wayground