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Identify the polygon

Question

Question 1: Identify the polygon with

vertices P(2,−2)

P2,-2, Q(4,2)

Q4,2, R(6,2)

R6,2, and S(4,−2)

S4,-2, and then find the perimeter and area of the polygon.

 Question 2: 

Identify the area of the polygon with vertices B(3,2)

B3,2, C(7,−2)

C7,-2, D(2,−4)

D2,-4, and E(1,−2)

E1,-2.

 Question 3: 

Both diagonals of a kite are multiplied by 1/3, Which of the following describes the effect of this change on the area?

The area is multiplied by 1/3.

The area is multiplied by 1/9.

The area is multiplied by 9.

The area is multiplied by 3.

  Question 4: 

The base length of a triangle is multiplied by 1/4, Which of the following describes the effect of this change on the area?

The area is multiplied by 1/4.

The area is multiplied by 1/16.

The area is multiplied by 4.

The area is multiplied by 16.

  Question 5: 

Which of the following shows that the two composite figures cover the same area?

For both figures, A = 4 + 4 + 3 + 3 = 14 units2.

For both figures, A = 4 + 3 + 3 + 2 = 12 units2.

For both figures, A = 4 + 3 + 3 + 3 = 13 units2.

For both figures, A = 4 + 4 + 3 + 2 = 13 units2.

  Question 6:

A square has side length of 16.5 in, If the area is multiplied by 9, what happens to the side length?

The side length is multiplied by 4.5.

The side length is doubled.

The side length is multiplied by 9.

The side length is tripled.

  Question 7: 

The radius of a circle is multiplied by 1/4, Which of the following describes the effect of this change on the area?

The area is multiplied by 1/16.

The area is multiplied by 1/4.

The area is multiplied by 1/8.

The area is multiplied by 4.

  Question 8: 

Which of the following is the best estimate of the area of the irregular shape?

20.5 units2

18 units2

19 units2

25.5 units2

  Question 9: 

Janet decides to sow grass in a rectangular plot of her garden that has a length of 30ft and height of 25ft. It costs her $9.50

$9.50 per square foot for sowing the grass. If she wants to sow grass in a plot with half the base and half the height, she will have to pay $3,562.50

$3,562.50. Is this reasonable? Explain.

No; if the dimensions are halved, the area is multiplied by 1/4.

Yes; if the dimensions are halved, the area is multiplied by 2.

Yes; if the dimensions are halved, the area is multiplied by 1/4.

No; if the dimensions are halved, the area is multiplied by 4.

  Question 10: 

A circle has a radius of

 
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4: 5 ptsA stoplight has the following cycle

4: 5 ptsA stoplight has the following cycle

 
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4: 5 ptsA stoplight has the following cycle

Question

 Question 4: 5 ptsA stoplight has the following cycle: green for 50 seconds, yellow

for 4 seconds, and red for 62 seconds. If you arrive at the light 50 times, predict how many times you will have to stop and wait more than 4 seconds.

About 2 times

About 50 times

About 27 times

About 25 times

  Question 5: 5 pts

Identify the area of a regular decagon with side length 2m rounded to the nearest tenth.

A ≈ 123.1 m2

A ≈ 69.2 m2

A ≈ 7.7 m2

A ≈ 30.8 m2

  Question 6: 5 pts

Find the area of the parallelogram.

A = 340 cm2

A = 300 cm2

A = 476 cm2

A = 420 cm2

  Question 10: 5 pts

The radius of a circle is multiplied by 1/4. Which of the following describes the effect of this change on the area?

The area is multiplied by 1/16.

The area is multiplied by 4.

The area is multiplied by 1/4.

The area is multiplied by 1/8.

  Question 11: 5 pts

Identify the base of a triangle in which h=5 ft and A=(5x+20)ft2.

b = (2x + 8) ft

b = (x + 6) ft

b = (x + 4) ft

b = (5x + 25) ft

  Question 13: 5 pts

A diagonal length of a rhombus is multiplied by 2/3. Which of the following describes the effect of this change on the area?

The area is multiplied by 9/4.

The area is multiplied by 4/9.

The area is multiplied by 3/2.

The area is multiplied by 2/3.

  Question 16: 5 pts

Identify the perimeter of a square in which A=121×2 in2.

P = 44x in.

P = 44xin.

P = 22x in.

P = 22xin.

  Question 19: 5 pts

An advertiser rents a rectangular billboard that is 21.5ft wide and 13ft tall. The rent is $12 per square foot. For a billboard three times as tall, the advertiser has to pay $30,186. Is this reasonable? Explain.

Yes; when the height is tripled, the area is multiplied by 1/3.

Yes; when the height is tripled, the area is multiplied by 9.

No; when the height is tripled, the area is multiplied by 9.

No; when the height is tripled, the area is also tripled.

  Question 20: 5 pts

Identify the area of the polygon with vertices P(1,2), Q(1,4), R(−1,6), and S(−3,2).

A = 14 units2

A = 16 units2

A = 6 units2

A = 10 units2

 
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Given n(J

Question

Given n(J style=”color:rgb(0,0,0);”>) = 255, n(K) = 171 and n(J ∪ K) = 405, find n(J ∩ K)

 
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