1 he size of a bicycle is determined by the diameter of the wheel. You want a 24-in bicycle for Christmas. What is the circumference of one of the

1. he size of a bicycle is determined by the diameter of the wheel. You want a 24-in bicycle for Christmas. What is the circumference of one of the wheels?

2 points   

QUESTION 2

1. If the circumference of a circle is 32 in, find the radius. Find the radius of the circle.

2 points   

QUESTION 3

1. The Benton family wants to put a circular fence around their pool. They want it to be exactly 15 feet from the center of the pool. How many feet of fencing is needed?

2 points   

QUESTION 4

1. Using the illustration below, calculate the area of the circle.
        

2 points   

QUESTION 5

1. Taylor is making a mini apple pie with a radius of 3.14 in for her math class. What is the area of her mini pie?

2 points   

QUESTION 6

1. Estimate the length of the radius if the area of the circle is 54 ft2.

2 points   

QUESTION 7

1. Calculate the area of the shaded sector to the nearest tenth.
        

2 points   

QUESTION 8

1. Amy is a perfectionist and wants each piece of her cake to be exactly the same area. If the radius of her cake is 6 in and she wants to cut it into 10 pieces, what is the area of each piece of cake? (Round to the nearest tenth)

2 points   

QUESTION 9

1. In circle O, the m    = 92° and the length of    is 16. Calculate the length of the radius.

2 points   

QUESTION 10- cicumfrance and area of a circ

1. In circle O, the radius is 6 and the measure of      = 95°. Find the length of     
        

1. Quadrilateral WXZY is a square. If the measure of angle XYZ = 4x + 15, find the value of x.
        

2 points   

QUESTION 2

1. Determine whether parallelogram JKLM with vertices J(-1, 1), K(4, 1), L(4, 6) and M(-1, 6) is a rhombus, square, rectangle or all three.

2 points   

QUESTION 3

1. Quadrilateral ABCD with vertices A(4, 3), B(4, -2), C(-4, -2) and D(-4, 3) is a rectangle, find the length of the diagonals.

2 points   

QUESTION 4

1. Quadrilateral QRST is a rectangle. RT = 5x + 1 and QS = 6x – 3. Find QS.
        

2 points   

QUESTION 5

1. In rhombus ABCD, the measure of angle ABE equals 38°, find the measure of angle BAE.

2 points   

QUESTION 6

1. Determine whether parallelogram JKLM with vertices J(-7, -2), K(0, 4), L(9, 2) and M(2, -4) is a rhombus, square, rectangle or all three.

2 points   

QUESTION 7

1. The sides of square ABCD are extended by the sides of equal length to form square MWTH. If MA = 6 and the area of ABCD is 144 cm2, find the area of MWTH.
        

2 points   

QUESTION 8

1. George wants to carpet his rectangular living room. The cost is $3.88 per square foot. How much would it cost to carpet his living room?
        

2 points   

QUESTION 9

1. Find the perimeter and area of rectangle ABCD.
        

2 points   

QUESTION 10

1. If the perimeter of a square is 64 cm, find the area.

2 points   

QUESTION 11-rhombi

1. Find the area of the rectangle.  Round the answer to the nearest whole number.

1. he size of a bicycle is determined by the diameter of the wheel. You want a 24-in bicycle for Christmas. What is the circumference of one of the wheels?

2 points   

QUESTION 2

1. If the circumference of a circle is 32 in, find the radius. Find the radius of the circle.

2 points   

QUESTION 3

1. The Benton family wants to put a circular fence around their pool. They want it to be exactly 15 feet from the center of the pool. How many feet of fencing is needed?

2 points   

QUESTION 4

1. Using the illustration below, calculate the area of the circle.
        

2 points   

QUESTION 5

1. Taylor is making a mini apple pie with a radius of 3.14 in for her math class. What is the area of her mini pie?

2 points   

QUESTION 6

1. Estimate the length of the radius if the area of the circle is 54 ft2.

2 points   

QUESTION 7

1. Calculate the area of the shaded sector to the nearest tenth.
        

2 points   

QUESTION 8

1. Amy is a perfectionist and wants each piece of her cake to be exactly the same area. If the radius of her cake is 6 in and she wants to cut it into 10 pieces, what is the area of each piece of cake? (Round to the nearest tenth)

2 points   

QUESTION 9

1. In circle O, the m    = 92° and the length of    is 16. Calculate the length of the radius.

2 points   

QUESTION 10- cicumfrance and area of a circ

1. In circle O, the radius is 6 and the measure of      = 95°. Find the length of     
        

1.  using the Angle-Angle Similarity Postulate.
    

2 points   

QUESTION 2

1. The Angle-Angle Similarity Postulate states that “If two angles of one triangle are congruent to 2 angles of another triangle, then the triangles are congruent”

2 points   

QUESTION 3

1. Complete the reason for step 4 in the proof below:

Given:      

Prove:      

2 points   

QUESTION 4

1. Given the triangles are similar, calculate the values of m and n. Round to the nearest tenth
        

2 points   

QUESTION 5

1. Determine whether the pair of figures are similar and explain why.
    

2 points   

QUESTION 6

1. Find the measure of x and y.

2 points   

QUESTION 7

1. Given      and BC = 8, what is the value of EF?
    

2 points   

QUESTION 8

1. At a certain time of day, a 5 foot tall man has a 7.5 foot shadow. If a tree is 20 feet tall, what is the length of the shadow of the tree?
        

2 points   

QUESTION 9

1. ΔABC is similar to ΔDEF. To one decimal place calculate the value of x
        

2 points   

QUESTION 10

1. The Side-Angle-Side Similarity Postulate states “If the measures of 2 sides of a triangle are proportional to the measures of 2 corresponding sides of another triangle and the angles between them are congruent, then the triangles are congruent”?

2 points   

QUESTION 11- similar triangle

1. Use the Side-Splitter Theorem to find x, given that  . The figure is not drawn to scale.

1. Describe in your own words, what it means if two polygons are similar. 

3 points   

QUESTION 2

1. The figures below are similar; illustrate what you know about the angles.
    

3 points   

QUESTION 3

1. The figures below are similar; explain what you know about the sides.
        

3 points   

QUESTION 4

1. Tory has two similar picture frames in her bathroom. The ratio of the larger picture frame to the smaller picture frame is 5:2. If the perimeter of the smaller picture frame is 30 in, what is the perimeter of the bigger picture frame? 

3 points   

QUESTION 5

1. As the marketing designer for Burger King, you are given a 4 in by 6 in logo and have been told to create an advertisement with sides six times larger. What is the area of your advertisement (in feet)? [12 inches = 1 ft] 

3 points   

QUESTION 6

1. Bryan is an art sculptor and is creating an art series made entirely of similar figures. He buys a Sponge Bob Square Pants figure and decides he wants to make a larger version that has sides 15 times bigger. If the area of the figure is 12.5 cm2, what is the area of his sculpture? 

3 points   

QUESTION 7

1. Calculate the value of OK.
    

3 points   

QUESTION 8

1. Find the value of y in the similar figures below.
        

3 points   

QUESTION 9

1. Given the figures are similar, calculate the perimeter of the ABCDE.
    

3 points   

QUESTION 10- similar poly. Def

1. Two triangular roofs are similar. The ratio of the corresponding sides of these roofs is 2:3. If the altitude of the smaller roof is 4.5 feet, find the corresponding altitude of the larger roof. Round to the nearest hundredth. 

1. If      then AB = EH, BC = HF, CD = FG, AD = EF
        

2 points   

QUESTION 2

1. If     then      
    

2 points   

QUESTION 3

1. Given  calculate the value of WE, BR, and EQ
        

2 points   

QUESTION 4

1. Find the value of x in the similar figures (round to the nearest tenth)
        

2 points   

QUESTION 5

1. A regular pentagon has side length 12 cm. The perimeter of the pentagon is 60 cm and the area is 247.7 cm2. A second pentagon has side lengths equal to 24 cm. Find the perimeter of the second pentagon.

2 points   

QUESTION 6

1. Given     what is the perimeter of BRAIN?
        

2 points   

QUESTION 7

1. A regular octagon has side length 10.9 in. The perimeter of the octagon is 87.2 in and the area is 573.67 in2. A second octagon has side lengths equal to 21.8 in. Find the area of the second octagon. Round to the nearest hundredth.

2 points   

QUESTION 8

1. You have been asked to create a sign for Sonic and have been given a 4 in by 6 in logo to enlarge. Your boss told you to make sure the ratio of the logo to the billboard was 2 inches:15 inches. What are the dimensions of the logo on the billboard?

2 points   

QUESTION 9

1. Becky is growing a garden in her backyard. It is in the shape of a rectangle 3 feet wide by 4 feet long. Her husband said that he can grow the same amount of crop in half of the space. What are the dimensions of his garden?

2 points   

QUESTION 10- Similar polygon

1. The Johnson’s have a square rug in their living room that is 36 ft2. For Christmas, they are building a dollhouse for their daughter. Its linear dimensions are exactly 60 times smaller than their actual house. In the dollhouse, what are the dimensions of the rug (in inches)? [12 inches in 1 foot]