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Coordinate Algebra EOC (GSE) QuizCongruence & Geometric Properties with Equations - (MGSE9‐12.G.GPE.7 ) Use Coordinates For Perimeter/area

Student Name: _______________________ Date: _________Teacher Name: THUYNGA DAO Score: _________

1)

Which expression represents the perimeter of the rectangle shown in the diagram?

A) pr

B) pr2

C) p + r

D) 2p + 2r

2)

Estimate the area of the trapezoid shown.

A) 2 square units

B) 8 square units

C) 10 square units

D) 14 square units



3)

The pink trapezoid is dilated by a factor of 3. The resulting image is shown in blue. What is the ratio of the perimeters of the twotrapezoids? (small:large)

A) 1:2

B) 1:3

C) 1:4

D) 1:6

4) On the coordinate grid of a map, Josie's house is located at (2,7). Her school is located at (-5,5). If each map unit equals one mile,what is the approximate distance from her house to school?

A) 2.83 miles

B) 4.79 miles

C) 7.28 miles

D) 12.37 miles

5)

Which expression represents the area of the triangle?

A) pr

B)1

2pr

C) p + r

D) pr2

6)



Find the approximate area of the parallelogram.

A) 9 square units

B) 16 square units

C) 21 square units

D) 45 square units



7)

What is the perimeter of ΔBDE?

A) 17 + 4 7

B) 4 + 3 2

C) 13 + 5 + 4

D) 34 + 65 + 13

8)

Given that all the quadrilaterals have the same area, which one has the SMALLEST perimeter?

A) Quadrilateral 1

B) Quadrilateral 2

C) Quadrilateral 3

D) Quadrilateral 4

9)



Estimate the area of the parallelogram.

A) 60 sq. units

B) 68 sq. units

C) 72 sq. units

D) 84 sq. units

10)



What is the area of the rectangle shown in the graph?

A) -28 units2

B) -3 units2

C) 30 units2

D) 54 units2

11)

Determine the coordinates of the corners of the rectangle to compute the area of the rectangle using the distance formula (round tothe nearest integer).

A) 15 units2

B) 30 units2

C) 45 units2

D) 50 units2

12)



Determine the coordinates of the corners of the triangle to compute the perimeter of the triangle using the distance formula (roundto the nearest integer).

A) 15 units

B) 25 units

C) 30 units

D) 37 units



13) On the coordinate grid of a map. Jeff's house is located at (9,5). Hannah's house is at (-5,-5). Kenya's house is located at themidpoint between Jeff and Hannah's houses. What is the distance from Hannah's house to Kenya's house?

A) 2 miles

B) 4.79 miles

C) 7.28 miles

D) 8.60 miles

14)

A (2, -1)

B (2, 5)

C (6, -1)

A right triangle is formed by the points shown. Find the length of the hypotenuse, which is line segment BC.

A) 10

B) 2 10

C) 2 2

D) 2 13

15)

A track has the shape shown. What is the perimeter (round to three decimal places)?

A) 16.283

B) 22.566

C) 24.283

D) 30.566

16)



Determine the coordinates of the corners of the rectangle to compute the perimeter of the rectangle using the distance formula(round to the nearest integer).

A) 30 units

B) 45 units

C) 50 units

D) 60 units

17)



Compute the perimeter of the rectangle using the distance formula. (round to the nearest integer)

A) 22

B) 23

C) 38

D) 45

18)


A) 12 units2

B) 25 units2

C) 30 units2

D) 36 units2



19)

Determine the coordinates of the corners of the rectangle to compute the perimeter of the rectangle using the distance formula(round to the nearest integer).

A) 17 units

B) 28 units

C) 30 units

D) 34 units

20)



Compute the perimeter of the rectangle using the distance formula. (round to the nearest integer)

A) 33

B) 34

C) 52

D) 69

21)


A) 39 units2

B) 52 units2

C) 64 units2

D) 78 units2

22) Janie's bedroom is 12 feet long and 10 feet wide. If she is going to put new baseboards around the entire room, how many feetof wood does she need?

A) 22 feet

B) 44 feet

C) 120 feet

D) 240 feet

23)



A plot of land has the shape shown. If the owner wants to fence in the land, how much fencing do they need to buy (round to threedecimal places if necessary)?

A) 41

B) 29

C) 27.708

D) 23.708

24)

What is the perimeter of the figure in the diagram (round to three decimal places if necessary)?

A) 44

B) 36.472

C) 36

D) 28.472

25) Find the perimeter of the polygon defined by the coordinates (5, 8), (12, 0), (-5, 0), and (-12, 8). (Round to nearest tenth)

A) 53.2 units

B) 55.3 units



C) 56.3 units

D) 57.3 units



26)

Determine the coordinates of the vertices of the rectangle to compute the area of the rectangle using the distance formula (round tothe nearest integer).

A) 35 units2

B) 50 units2

C) 60 units2

D) 70 units2

27)



Compute the area of the rectangle using the distance formula (round to the nearest integer).

A) 119 units2

B) 120 units2

C) 239 units2

D) 240 units2

28)


A) 36 units2

B) 48 units2

C) 60 units2

D) 72 units2

29)



What is the perimeter of the figure shown in the diagram?

A) 39.325 units

B) 38.656 units

C) 35.656 units

D) 29.105 units

30)

Determine the coordinates of the triangle to compute the perimeter of the triangle using the distance formula (round to the nearestwhole number).

A) 30 units

B) 35 units

C) 37 units

D) 40 units

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