Free Printable Coordinate Geometry: Distance, Perimeter, Area Polygons Review

1.

What is the perimeter of the given figure?

a)

30 units

b)

32 units

c)

24 units

d)

36 units

2.

What is the perimeter of the shaded figure?

a)

28

b)

24

c)

22

d)

26

3.

What is the perimeter of the shaded figure?

a)

12

b)

10

c)

16

d)

18

4.

What is the perimeter of the shape?

a)

20 units

b)

12 units squared

c)

22 units

d)

32 units squared

5.

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)

What is the length of the longest side of the rectangle?

a)

4 units

b)

5 units

c)

6 units

d)

8 units

6.

The points A (9, 0), B (9, 6), C (–9, 6) and D (–9, 0) are the vertices of a

a)

Square

b)

Rectangle

c)

Rhombus

d)

Trapezium

7.

What is the distance between points (10, 7) and (2, 7) on a coordinate plane?

a)

2

b)

9

c)

10

d)

8

8.

What is the distance between points (5, 5) and (1, 5) on a coordinate plane?

a)

-4

b)

4

c)

10

d)

-10

9.

What is the distance between points (-7, 8) and (2, 8)?

a)

4 units

b)

5 units

c)

3 units

d)

9 units

10.

What is the perimeter of a rectangle with corners at (2,2), (2,-4), (-5,-4), and (-5,2).

a)

13 units

b)

26 units

c)

42 units

d)

10 units

11.

Find the perimeter

a)

20 units

b)

49 units

c)

28 units

d)

10 units

12.

Which formula can be used to find the distance between 2 points on the coordinate plane?

a)

b)

c)

d)

13.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

14.

Calculate the length for each side of the triangle.

a)

AB = 3.6, BC = 4.5, AC = 4.1

b)

AB = 4.1, BC = 5.6, AC = 7.5

c)

AB = 4.5, BC = 3.6, AC = 4.1

d)

AB = 4.1, BC = 3.6, AC = 4.5

15.

What is the approximate perimeter of right triangle ABC? (round to the nearest whole number)

a)

17 units

b)

15 units

c)

14 units

d)

16 units

16.

What is the perimeter of the triangle? (Round to the nearest tenth)

a)

12

b)

about 13.2

c)

21

d)

about 12.6

17.

Calculate the length for each side of the rectangle.

a)

AB = 9, BC = 4.5, CD = 9, DA= 4.5

b)

AB = 6, BC = 3.29, CD = 6, DA= 3.29

c)

AB = 6.31, BC = 4.1, CD = 6.31, DA= 4.1

d)

AB = 5.65, BC = 4.24, CD = 5.65, DA= 4.24

18.

Calculate the perimeter of the rectangle.

a)

27 units

b)

18.58 units

c)

14.73 units

d)

19.78 units

19.

What is the perimeter of rectangle ABCD? Round to the nearest whole number if necessary.

a)

18 units

b)

19 units

c)

12 units

d)

25 units

20.

What is the perimeter of the rectangle? (Round to the nearest tenth)

a)

18

b)

about 23.6

c)

about 25.1

d)

about 21.6

21.

What is the perimeter (in units) of the triangle formed by the points (-3,1), (-3,5), and (4,1)?

a)

65

b)

8.06

c)

14

d)

19.06

22.

The vertices of square RSTV have coordinates R(-1,5), S(-3,1), T(-7,3) and V-5,7). What is the perimeter of RSTV? Round to the nearest hundredth if necessary.

a)

28.99 units

b)

29 units

c)

17.89 units

d)

17.88 units

23.

Find the perimeter. Round to the nearest tenth, if necessary.

B\left(6,1\right)

,

C\left(7,-7\right)

,

D\left(-5,-7\right)

a)

9.1

b)

11.2

c)

19.7

d)

33.7

24.

Find the perimeter of square ADEF

a)

~21.3 units

b)

~ 22.6 units

c)

~ 23.4 units

d)

~ 24.5 units

25.

What is the perimeter of the parallelogram? Round to the nearest hundredth if necessary.

a)

20.95 units

b)

20.94 units

c)

18.33 units

d)

18.32 units

26.

Find the perimeter of the figure to the right. Round to the nearest tenth.

a)

20.8 units

b)

116 units

c)

11.5 units

d)

19.8 units

27.

Square ABCD has vertices A(-2,-3), B(4, -1), C(2, 5), and D(-4, 3). What is the perimeter of the square?

Round to the nearest hundredth if necessary.

a)

12.65 units

b)

12.64 units

c)

25.30 units

d)

25.29 units

28.

Given that A(-2,3), B(4,1) and C(2,-4) are vertices of a triangle, find the perimeter of the triangle.

a)

20.789

b)

19.772

c)

23.9

d)

13.456

29.

Given that P(-4, -2), Q(-2, 2) and R(5, 1) are vertices of a triangle, calculate the perimeter and classify the triangle.

a)

21.1, Isosceles

b)

21.1, Scalene

c)

24.3, Scalene

d)

24.3, Equilateral

30.

An unknown quadrilateral has these points:

A(0,-3)

B(6,-3)

C(9,1)

D(3,1)

What is the length of side AB?

(a)

31.

Find the perimeter of a regular hexagon with consecutive vertices (-4 , 1) and (-1 , 5).

a)

24

b)

36

c)

30

d)

28

32.

What is the perimeter (in cm) of a regular pentagon with consecutive vertices of (-2, -2) & (6, 4)?

a)

50 cm

b)

40 cm

c)

30 cm

d)

20 cm

33.

Kia walks to Jamie's house each morning. Kia and Jamie then walk together from Jamie's house to school. Each unit on the grid is 1 block.

How many blocks does Kia walk from her house to school each morning?

a)

4 blocks

b)

7 blocks

c)

9 blocks

d)

11 blocks

34.

How do you correctly write an ordered pair?

a)

x,y

b)

(x,y)

c)

(y,x)

d)

(a,b)

35.

What letter is at (3, 8)?
*Remember, RUN THEN JUMP!

a)

There is no letter there.

b)

W

c)

R

d)

E

36.

What error did the student make when plotting the point (3, 4) according to the picture?

a)

The student moved left along the x-axis when he should have moved right

b)

The student plotted the y-coordinate in place of the x-coordinate

c)

The student didn't make a mistake

d)

Both Options 1 and 2

37.

What is coordinate R?

a)

(2,5)

b)

(0,1)

c)

(2,3)

d)

(1,0)

38.

What is coordinate L?

a)

(6,6)

b)

(2,5)

c)

(2,3)

d)

(5,2)

39.

What is Coordinate N?

a)

(7,6)

b)

(5,5)

c)

(6,6)

d)

(7,7)

40.

What is the ordered pair for Point A?

a)

(7, -6)

b)

(-6, 7)

c)

(0, 7)

d)

(-5, 7)

41.

_{Find the area}

a)

4 units

b)

6 units

c)

24 units

d)

28 units

42.

What is the area of the square?

a)

111 square units

b)

231 square units

c)

361 square units

d)

456 square units

43.

What is the area of the rectangle?

a)

28 units squared

b)

45 units squared

c)

33 units squared

d)

19 units squared

44.

What is the area of the figure?

a)

11 square units

b)

15 square units

c)

25 square units

d)

30 square units

45.

What is the area of the quadrilateral with vertices at (-1, 0), (2, 0), (2, 5), and (-1, 5)?

a)

15 square units

b)

12 square units

c)

10 square units

d)

5 square units

46.

What is the area of this figure?

a)

7 units²

b)

15 units²

c)

7 1/2 units²

d)

15 1/2 units²

47.

Find the area of the quadrilateral on the coordinate plane

a)

10 sq. units

b)

6 sq. units

c)

8 sq. units

d)

12 sq. units

48.

Square ABCD has vertices A(-2,-3), B(4, -1), C(2, 5), and D(-4, 3). What is the area of the square?

a)

$2\sqrt{10}$

b)

$4\sqrt{10}$

c)

40

d)

20

49.

On a map, John’s school is located at (4, -5), the McDonald’s is located at (4, 3), the mall is located at (2, -5) and his home is situated at (2,3). What is the area between the four locations?

a)

8 square units

b)

10 square units

c)

16 square units

d)

20 square units

50.

You design a tree house using a coordinate plane. You plot the vertices of the floor at J (2, 1), K (2, 8), L(9, 8), and M (9, 1). The coordinates are measured in feet. What is the area of the tree house?

a)

28 feet²

b)

49 feet²

c)

56 feet²

d)

64 feet²

51.

Find the area.

$B\left(6,1\right)$ , $C\left(7,-7\right)$ , $D\left(-5,-7\right)$

a)

52

b)

44

c)

4

d)

96

52.

What is the area of the triangle?

a)

60 square units

b)

90 square units

c)

45 square units

d)

30 square units

53.

Find the area of triangle ABC.

a)

4

b)

6

c)

14

d)

28

54.

Find the area of rectangle ABCD. (Hint: You'll need to use the distance formula to find the side lengths).

a)

4.47

b)

11.18

c)

30.0

d)

22.36

55.

What is the area of the parallelogram?

a)

18 units²

b)

20 units²

c)

24 units²

d)

30 units²

56.

The vertices of a triangle are located on a coordinate grid as follows: A(2,2), B(2,−6) and C(−5,−6).

What is the area of △ABC?

a)

6 square units

b)

12 square units

c)

28 square units

d)

56 square units

57.

Find the exact area of right triangle, $\Delta RST$

a)

$9\sqrt{3}+15$

b)

$9\sqrt{5}+15$

c)

45

d)

90

58.

Find the area of the rectangle.

a)

35 units²

b)

28 units²

c)

32 units²

d)

30 units²

59.

Find the area of the blue shaded object by subtracting all the triangles.

a)

29 units²

b)

25 units²

c)

33 units²

d)

18 units²

60.

What is the area (in square units) of the triangle formed by the points (-3,1), (-3,5), and (4,1)?

a)

19.06

b)

14

c)

28

d)

8.06

61.

The points A (9, 0), B (9, 6), C (–9, 6) and D (–9, 0) are the vertices of a

a)

Square

b)

Rectangle

c)

Rhombus

d)

Trapezium

62.

The area of a triangle with vertices A (3, 0), B (7, 0) and C (8, 4) is

a)

14

b)

28

c)

8

d)

6

63.

On a county land map, a rectangular parcel of land has vertices at

(102.67, 52.41), (107.73, 117.82), (153.75, 48.46), (158.81, 113.87).

What is the area (in square feet) between the four locations?

(Round to the nearest ten-thousandth if necessary).

a)

4,304.0717 ft²

b)

2,624.7689 ft²

c)

3,361.1298 ft²

d)

4,264.5170 ft²

64.

On a county land map, a rectangular parcel of land has vertices (measured in feet) at

(102.67, 52.41), (107.73, 117.82), (153.75, 48.46), (158.81, 113.87).

What is the area (in acres) between the four locations?

(Divide the number of ft²by the number of ft² in an acre).

{1 acre = 43,560 ft²}

a)

0.09880789 acr

b)

0.06025640 acr

c)

0.07716092 acr

d)

0.09789984 acr

Coordinate Geometry: Distance, Perimeter, Area Polygons Review

Total questions: 64

Worksheet time: 2hrs 55mins

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