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? 75.4 in 75.3 in 37.7 in 37.6 in 2 points QUESTION 2 1 If the circumference of a circle is 32 in, find the radius. Find the radius of the circle. 16 in 10.2 in 2.54 in 5.1 in 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? 9 2 9 4 4 7 3 0 2 points QUESTION 4 1 Using the illustration below, calculate the area of the circle. 19.63 in2 78.54 in2 17.63 in2 16.93 in2 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? 31 in2 32 in2 30 in2 15 in2 2 points QUESTION 6 1 Estimate the length of the radius if the area of the circle is 54 ft 2. 17.19 ft 4.15 ft 8.29 ft 8.60 ft 2 points QUESTION 7 1 Calculate the area of the shaded sector to the nearest tenth. 2. 1 8. 2 8. 4 8. 3 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) 11.3 in2 12.4 in2 36 in2 10.7 in2 2 points QUESTION 9 1 In circle O, the m radius. = 92 and the length of is 16. Calculate the length of the 3.16 4.97 19.9 3 9.94 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 3.16 4.97 9.95 119.2 8 1 Quadrilateral WXZY is a square. If the measure of angle XYZ = 4x + 15, find the value of x. 15 15 18.7 5 7.5 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. rhombus square rectangle rhombus, square and rectangle 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. 5 8 2 points QUESTION 4 1 Quadrilateral QRST is a rectangle. RT = 5x + 1 and QS = 6x - 3. Find QS. 8 2 1 4 2 4 2 points QUESTION 5 1 In rhombus ABCD, the measure of angle ABE equals 38, find the measure of angle BAE. 76 104 90 52 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. rhombus square rectangle rhombus, square and rectangle 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. 360 cm2 180 cm2 129600 cm2 288 cm2 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? $271. 60 $36.0 9 $543. 20 $186. 24 2 points QUESTION 9 1 Find the perimeter and area of rectangle ABCD. P = 75 in; A = 406.25 in2 P = 42.5 in; A = 375 in2 P = 85 in; A = 375 in2 P = 90 in; A = 406.25 in2 2 points QUESTION 10 1 If the perimeter of a square is 64 cm, find the area. 32 cm2 48 cm2 64 cm2 256 cm2 2 points QUESTION 11-RHOMBI 1 Find the area of the rectangle. Round the answer to the nearest whole number. 33 51 340 2,60 1 2 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? 75.4 in 75.3 in 37.7 in 37.6 in 2 points QUESTION 2 2 If the circumference of a circle is 32 in, find the radius. Find the radius of the circle. 16 in 10.2 in 2.54 in 5.1 in 2 points QUESTION 3 2 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? 9 2 9 4 4 7 3 0 2 points QUESTION 4 2 Using the illustration below, calculate the area of the circle. 19.63 in2 78.54 in2 17.63 in2 16.93 in2 2 points QUESTION 5 2 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? 31 in2 32 in2 30 in2 15 in2 2 points QUESTION 6 2 Estimate the length of the radius if the area of the circle is 54 ft 2. 17.19 ft 4.15 ft 8.29 ft 8.60 ft 2 points QUESTION 7 2 Calculate the area of the shaded sector to the nearest tenth. 2. 1 8. 2 8. 4 8. 3 2 points QUESTION 8 2 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) 11.3 in2 12.4 in2 36 in2 10.7 in2 2 points QUESTION 9 2 In circle O, the m radius. = 92 and the length of is 16. Calculate the length of the 3.16 4.97 19.9 3 9.94 2 points QUESTION 10- CICUMFRANCE AND AREA OF A CIRC 2 In circle O, the radius is 6 and the measure of = 95. Find the length of 3.16 4.97 9.95 119.2 8 1 using the Angle-Angle Similarity Postulate. True Fals e 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\" True Fals e 2 points QUESTION 3 1 Complete the reason for step 4 in the proof below: Given: Prove: Step Statements Reasons 1 Given 2 Alternate Interior angles 3 Alternate Interior angles 4 Side-Angle-Angle Similarity Postulate Side-Side-Side Similarity Postulate Angle-Angle-Angle Similarity Postulate Angle-Angle Similarity Postulate 2 points QUESTION 4 1 Given the triangles are similar, calculate the values of m and n. Round to the nearest tenth n= 7.5 n= =7 n= 3.5 n= =3 3, m = 7.5, m 3, m = 7.5, m 2 points QUESTION 5 1 Determine whether the pair of figures are similar and explain why. The two triangles side lengths The two triangles angle measures The two triangles proportional The two triangles are not similar because they have different are not similar because they have different are similar because their angles are are similar because their sides are proportional 2 points QUESTION 6 1 Find the measure of x and y. x = 18, y = 13 x = 62, y = 30 x = 7, y = 30 x = 7, y = 3 2 points QUESTION 7 1 Given and BC = 8, what is the value of EF? 1 5 1 2 1 3 1 6 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? 30 feet 12 feet 24 feet 15 feet 2 points QUESTION 9 1 ABC is similar to DEF. To one decimal place calculate the value of x 52 8 8.4 10. 4 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\"? True Fals e 2 points QUESTION 11- SIMILAR TRIANGLE 1 Use the Side-Splitter Theorem to find x, given that . The figure is not drawn to scale. 6 1 2 2 0 2 4 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 cm 2, 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 Q U E S T I O N 1 0 - S I M I L A R P O LY. D E F 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 True Fals e 2 points QUESTION 2 1 If then True Fals e 2 points QUESTION 3 1 Given calculate the value of WE, BR, and EQ WE = 5, BR = 11.25, EQ = 7 WE = 11.25, BR = 5, EQ = 7 WE = 5, BR = 7, EQ = 11.25 WE = 7, BR = 11.25, EQ = 5 2 points QUESTION 4 1 Find the value of x in the similar figures (round to the nearest tenth) 12 6 13. 3 7.3 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. 329 cm 144 cm 150 cm 120 cm 2 points QUESTION 6 1 Given what is the perimeter of BRAIN? 23.50 58.7 5 35.2 5 57.2 5 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. 261.60 in2 2294.68 in2 317.06 in2 142.66 in2 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? 35 in 35 in 30 in 30 in in by 40 in by 45 in by 40 in by 45 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? 8 feet by 6 feet 1.5 feet by 2 feet 6 feet by 8 feet 2 feet by 1.5 feet 2 points Q U E S T I O N 1 0 - S I M I L A R P O LY G O N 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] 12 inches by 12 inches 7.2 inches by 7.2 inches 0.1 inches by 0.1 inches 1.2 inches by 1.2 inches