1. A translation can be defined as moving a figure to a new location with no change to the size or shape of the figure? True Fals e 2 points QUESTION 2 1. The following is an example of a translation. True Fals e 2 points 1. QUESTION 3 Point A is located at (3, 4) and is translated right five units and down three units. What is the new location of point A? (8, 7) (8, 1) (-2, 1) (-2, 7) 2 points 1. QUESTION 4 Triangle ABC is located at A(-4,5), B (-4, -1), and C(-1,1). A translation of the triangle is located at A'(-7, 3), B'(-7, -3), and C'(-4, -1). How is the triangle translated? Triangle ABC units down. Triangle ABC units down. Triangle ABC units up. Triangle ABC units up. is translated 3 units left and 2 is translated 2 units left and 3 is translated 2 units right and 3 is translated 3 units right and 2 2 points 1. QUESTION 5 Quadrilateral WXYZ is located at W(2,1), X(5,2), Y(4, 4), Z(2,4) and is translated to quadrilateral W'X'Y'Z' at W'(-2, -2), X'(1, -1), Y'(1, 1), Z'(-2, 1) by moving three units to the right and four units to up. True Fals e 2 points QUESTION 6 1. Under the translation T(-7, 3) the point (1, 6) will become (-6, 9). True Fals e 2 points QUESTION 7 1. MATH is translated T(-4, 4) to M'A'T'H'. True Fals e 2 points QUESTION 8 1. MATH is translated (x - 3, y + 2) to M'A'T'H'. True Fals e 2 points QUESTION 9 1. If the following object is translated right two units and down three units. Where will the translation be located? 2 points 1. QUESTION 10 A snail traveling from one plant to another is an example of a translation. True Fals e 2 points QUESTION 11 1. Carrying to groceries from the car to the kitchen is an example of what type of transformation? 3 points 1. QUESTION 12 The point (-4, -1) is translated (x + 5, y + 2). Where is the translated point located? 3 points 1. QUESTION 13 What is a reflection? A reflection is a type of transformation that can be defined as an image rotated across a line or a point. A reflection is a type of transformation that moves a figure to a new location with no change to the size or shape of the figure. A reflection is a type of transformation that reduces or enlarges the figure to a similar figure. A reflection is a type of transformation that can be defined as a mirror image seen across a line or a point. 2 points QUESTION 14 1. The following is an example of a reflection: True Fals e 2 points 1. QUESTION 15 Which of the following sets of points are reflections of each other across the x-axis? (-5, 6) (5, -6) (-5, 6) (6, -5) (-5, 6) (5, 6) (-5, 6) (-5, -6) 2 points QUESTION 16 1. Which of the following sets of points are reflections of each other across the y-axis? (4, -7) 7) (4, -7) -7) (4, -7) 7) (4, -7) 4) (4, (-4, (-4, (-7, 2 points 1. QUESTION 17 Which of the following sets of points are reflections of each other across the origin? (4, -7) 7) (4, -7) -7) (4, -7) 7) (4, -7) 4) (4, (-4, (-4, (-7, 2 points QUESTION 18 1. The figure is reflected across the line y = x. True Fals e 2 points QUESTION 19 1. If triangle ABC is reflected across line m, the new coordinates will be located at A'(2, -4) B'(7, -9) C'(-2, -9). True Fals e 2 points QUESTION 20 1. How many lines of symmetry does the following figure have? The figure has 1 line of symmetry The figure has 2 lines of symmetry The figure has 3 lines of symmetry An infinite number of lines of symmetry 2 points QUESTION 21 1. How many lines of symmetry does the following figure have? M 1 line of symmetry 2 lines of symmetry 3 lines of symmetry An infinite number of lines of symmetry 2 points QUESTION 22 1. How many lines of symmetry does the following figure have? X 3 points 1. QUESTION 23 Point (6, 7) is reflected across the line y = x. Where is the new location? 3 points QUESTION 24 1. A rotation is a type of transformation that can be defined as turning a figure about a fixed point with a change to the size and shape of the figure True Fals e 2 points QUESTION 25 1. The following is an example of a rotation. True Fals e 1 points QUESTION 26 1. The following is an example of a rotation. True Fals e 1 points 1. QUESTION 27 Point A is located at (3, 4) and is rotated 90 clockwise about the origin. The new location, point A', is (-4, 3). True Fals e 2 points 1. QUESTION 28 When Point E (7, 4) is rotated 270 counterclockwise about the origin, it becomes Point E' (4, -7). True Fals e 2 points QUESTION 29 1. When point E (-8, -1) is rotated 90 counterclockwise about the origin, it becomes Point E' (1, -8). True Fals e 2 points QUESTION 30 1. When point E (2, -5) is rotated 180 about the origin, and becomes Point E' (-2, 5). True Fals e 2 points QUESTION 31 1. If the figure below is rotated 180 degrees about the origin, the new location is A'(8, 0), B'(0, -6), C'(-8, 0), D'(0, 6). True Fals e QUESTION 32 1. If the figure below is rotated 90 counterclockwise about the origin, what is the new location? (0, -8), B' (-6, 0), C' (0, 8), D' (6, 0) A' (-8, 0), B' (0, 6), C' (8, 0), D' (0, -6) A' (0, 8), B' (-6, 0), C' (0, -8), D' (6, 0) A' (0, -8), B' (-6, 0), C' (0, 8), D' (6, 0) QUESTION 33 1. If the following figure is rotated 180 about the origin, what is the new location? E' (2, 6), F' (7, -4), G' (-2, -7), H' (-5, 1) E' (-2, -6), F' (-7, 4), G' (2, 7), H' (5, -1) E' (-2, 6), F' (-7, -4), G' (2, -7), H' (5, 1) E' (2, -6), F' (7, 4), G' (-2, 7), H' (-5, -1) QUESTION 34 1. Explain what type of transformation the following is an example of: QUESTION 35 1. 1. When figures (including points) are rotated 180 about the origin, how are the coordinates changed? QUESTION 36 A dilation is a type of transformation that moves a figure to a new location with no change to the size or shape of the figure. True Fals e 1. QUESTION 37 Which of the following is an example of a dilation? QUESTION 38 1. Find the measure of the dilated image of segment CD, 8 units long, with a scale factor of units -2 units 4 units uni ts 1. QUESTION 39 The length of a rectangle is 21 in and is dilated to 52.5 in. What is the scale factor? 2.5 0.4 2.5 0.4 QUESTION 40 1. Under a dilation, triangle XYZ where X(4, 7), Y(-3, 8), and Z(-2, -1) becomes triangle X'Y'Z' where X'(12, 21), Y'(-9, 24), and Z'(-6,-3). What is the scale factor for this dilation? -3 3 QUESTION 41 1. Triangle XYZ where X(7, 2), Y(-3, 8), and Z(-4, 6) is dilated with a scale factor of 4. Where is the dilation located? X' , Y' and Z' X'(28, 8), Y'(-12, 32) and Z'(-16, 24) X' , Y'(-1, 2) and Z'(-1, 1) X'(8, 28), Y'(-32, 12) and Z'(-26, 14) QUESTION 42 1. The length of a rectangle is 2.5 in and the width is 3.5 in. The rectangle is then dilated to 10 in by 14 in. What is the scale factor? 3 4 1. QUESTION 43 The length of a rectangle is 25 in and the width is 35 in. The rectangle is then dilated to 6.25 in by 8.75 in. What is the scale factor? 3 4 1. Define enlargement. An enlargement is a type of dilation where the value of the scale factor is less than 0. An enlargement is a type of dilation where the absolute value of the scale factor is between 0 and 1 An enlargement is a type of dilation where the value of the scale factor is greater than 0. An enlargement is a type of dilation where the absolute value of the scale factor is greater than 1. QUESTION 45 1. The following is an example of an enlargement. True Fals e 1. QUESTION 46 Define reduction. A reduction is a type of dilation than 0. A reduction is a type of dilation factor is between 0 and 1. A reduction is a type of dilation greater than 0. A reduction is a type of dilation factor is greater than 1. where the value of the scale factor is less where the absolute value of the scale where the value of the scale factor is where the absolute value of the scale QUESTION 47 1. What is the difference between an enlargement and a reduction? A dilation is a type of dilation where the value of the scale factor is greater than 0. An enlargement is a type of dilation where the value of the scale factor is less than 0. A dilation is a type of dilation where the absolute value of the scale factor is greater than 1. An enlargement is a type of dilation where the absolute value of the scale factor is between 0 and 1. An enlargement is a type of dilation where the value of the scale factor is greater than 0. A reduction is a type of dilation where the value of the scale factor is less than 0. An enlargement is a type of dilation where the absolute value of the scale factor is greater than 1. A reduction is a type of dilation where the absolute value of the scale factor is between 0 and 1. QUESTION 48 1. What type of dilation is the following an example of: QUESTION 49-UNIT 11 1. The length of a rectangle is 20 in and the width is 35 in. The rectangle is then dilated by a scale factor of 1. . What are the new dimensions? A recipe for chocolate chip cookies requires two cups of sugar for a serving of nine cookies. You need to make thirty-six cookies for your Math class and decide to use proportions to calculate how much sugar you need. Which of the following proportions is not set up correctly? QUESTION 2 1. If , what do you know about their cross products? Their cross products are reciprocals of each other. Their cross products are opposite of each other. Their cross products are not related. Their cross products are equal. QUESTION 3 1. On a vacation, DeVante and his family traveled 385 miles at 65 mph. How long did the trip take? 5.96 hours 5.59 hours 5.69 hours 5.92 hours QUESTION 4 1. Solve: x= 55.75 x= 55.50 x= 67.55 x= 60.75 QUESTION 5 1. Becky charges $7.00 per hour per child to babysit. The Boones want her to babysit their 3 children for 5 hours while they go to dinner and the movies. How much will Becky earn at the end of the night? $105. 00 $140. 50 $82.5 0 $115. 00 QUESTION 6 1. Determine whether the pair of triangles is similar. If similarity exists, write a similarity statement relating to the two triangles. Give a justification for your answer. using the Side-Angle Similarity Postulate using the Angle-Side-Angle Similarity Postulate using the Angle-Angle Similarity Postulate is not similar to QUESTION 7 1. Given 2.5 3.7 5 4.2 5 3.2 5 QUESTION 8 , calculate the value of s. 1. Are the triangles similar? If so, justify your answer The triangles are similar using the SAS postulate. The triangles are similar using the SSA postulate. The triangles are not similar because the sides are not congruent. The triangles are not similar because the legs are not proportional. QUESTION 9 1. If True Fals e QUESTION 10 , then . 1. Given , calculate the length of CD. 7 8 9 2 QUESTION 11 1. Given the two polygons are similar, calculate the value of x. 4.1 3.9 8 3.8 9 2.9 8 QUESTION 12 1. Given , calculate the value of OK. 1 8 1 7 2 1 2 0 QUESTION 13 1. A regular octagon has side length 10.9 in. The perimeter of the octagon is 87.2 in and the area is 392.4 in2. A second octagon has side lengths equal to 5.45 in. Find the area of the second octagon. 61.60 in2 75.24 in2 37.06 in2 98.09 in2 QUESTION 14 1. What is the relationship between the area of ABCD and the area of EFGH? The ratio of the EFGH is 1:9. The ratio of the EFGH is 3:1. The ratio of the EFGH is 1:3. The ratio of the EFGH is 9:1. area of ABCD to the area of area of ABCD to the area of area of ABCD to the area of area of ABCD to the area of QUESTION 15 1. A floor plan is given for the first floor of a new house. One inch represents 6 feet. If a small closet is in by in on the floor plan, what are the actual dimensions? 1.36 ft by 1.5 ft 1.75 ft by 2 ft 1.5 ft by 2 ft 2 ft by 2 ft QUESTION 16 1. Two triangular roofs are similar. The ratio of the corresponding sides of these roofs is 2:3. If the altitude of the bigger roof is 7.5 feet, find the corresponding altitude of the smaller roof. 4.5 ft 5 ft 3.75 ft 6 ft 1. QUESTION 17 If the diameter of a circle is 4, what is the radius? 25 2. 5 2 8 QUESTION 18 1. If the radius of a circle is 15 cm, what is the diameter? 7.5 cm 20 cm 60 cm 30 cm QUESTION 19 1. Using the diagram below, calculate the length of GB if AB = 14 cm. 7 cm 3.5 cm 6 cm 8 cm QUESTION 20 1. is a chord in the illustration below. True Fals e QUESTION 21 1. Calculate the length of AD given AB = 4 cm, AC =10 cm, and AD = 5. Find AE. 6 8 7 9 QUESTION 22 1. is a secant to circle O. True Fals e QUESTION 23 1. and are tangents in Circle O. True Fals e QUESTION 24 1. If AB = 2.5, CD = 3, and FE = 5, calculate the values of appear to be tangent to the circle are tangent to the circle. AE = 8 AE = 7.5 AE = 7.75 AE = 8.25 7.5 and CE = 8 and CE = 8.25 and CE = 7.75 and CE = QUESTION 25 and . All lines that 1. The corresponding major arc to is True Fals e QUESTION 26 1. Name the corresponding major arc to QUESTION 27 . 1. Calculate the 42 145 149 113 QUESTION 28 1. Calculate the m 58.6 2 75.7 9 43.7 5 56.8 2 QUESTION 29 if is the diameter. 1. If the = 94, what do you know about the is half is half QUESTION 30 1. If = 70, what is the ? 80 140 35 70 QUESTION 31 1. If m = 82, calculate the m . and the ? 40 82 164 41 QUESTION 32 1. Calculate the m 40 45 75 112. 5 QUESTION 33 , given m = 40 and m = 130. 1. Find the value of x, if m = 5x - 10 and m = 3x + 30. x= 20 x= 40 x= 8 x= 6 1. QUESTION 34 In the standard equation of a circle (x - h)2 + (y - k)2 = r2, the radius is represented by r and the center of the circle is represented by (-h, -k). True Fals e 1. QUESTION 35 Write the standard equation of the circle with center (-3, 5) and a diameter of 14. (x + 3)2 + (y - 5)2 = 49 (x + 3)2 + (y - 5)2 = 7 (x - 5)2 + (y + 3)2 = 49 (x - 3)2 + (y + 5)2 = 196 QUESTION 36 1. Write the standard equation of the circle with center (-8, -7) and a radius of 6. (x + 8)2 + (y + 7)2 = 6 (x - 8)2 + (y - 7)2 = 6 (x + 8)2 + (y + 7)2 = 36 (x - 8)2 + (y - 7)2 = 36 QUESTION 37 1. The graph of (x - 0.5) 2 + (y - 0.5)2 = 4 is illustrated below. True Fals e QUESTION 38 1. The graph of (x - 3) True Fals 2 + (y + 3)2 = 4 is illustrated below. e QUESTION 39 1. Ella's dog Miley loves to play outside. Ella's 12.5 ft leash is tied to a stake in the ground. If she walks around in a circle, how far did she walk? 74.5 144.5 78.54 ft 72.3 ft QUESTION 40 1. If the circumference of a circle is 42 in, find the diameter. 13.7 in 13.37 in 13.11 in 13.35 in 1. QUESTION 41 The radius of a circle is 14 cm. Determine the area of the circle. 615.75 cm2 623.87 cm2 694.43 cm2 653.62 cm2 QUESTION 42 1. Estimate the length of the radius, if the area of a circle is 275 mm 2. 9.78 mm 24.97 mm 9.36 mm 7.87 mm 1. QUESTION 43 Taylor is making a cookie cake that has a diameter of 13 in. What is the area of a fourth of the cookie cake? 36.97 in2 36.25 in2 33.18 in2 38.4 in2 QUESTION 44 1. Taylor is making a cookie cake that has a diameter of 13 in. What is the area of onehalf of the cookie cake? 66.37 in2 265.46 in2 65.73 in2 48.4 in2 QUESTION 45 1. In circle A, the radius is 7.5 and the measure of 16. 4 19. 6 10. 6 21. 2 QUESTION 46 = 125. Find the length of 1. Identify the leg(s) of the right triangle below. an d an d an d QUESTION 47 1. A suitcase measures 20 inches long and 15 inches high. What is the diagonal length of the suitcase? 25 in 62 in 12.8 in 29 in QUESTION 48 1. You are helping your dad build a dog house for your dog. You tell him that it would be easy to build a dog house in the shape of a tent. The slanted sides are 13 feet long and the bottom of the house is 24 feet across. You draw him the following illustration to help him find the height of the dog house. What do you tell him the height of the dog house is? 10 ft 5 ft 25 ft 4.5 ft QUESTION 49 1. In the triangle below, determine the value of c. 12. 3 11. 5 8.6 12. 5 QUESTION 50 1. In the triangle below, determine the 62.2 21.5 4 27.8 2 12.5 QUESTION 51 1. In the triangle below, what ratio is cos? QUESTION 52 1. In the triangle below, the value of a is 9.44. True Fals e QUESTION 53 1. In the triangle below, the value of a is 12.6. True Fals e QUESTION 54 1. Calculate the value of c. 6. 4 8. 8 8. 2 5. 6 QUESTION 55 1. Calculate the value of a. 2.9 3 1.4 6 1.8 7 1.3 6 QUESTION 56 1. In the triangle below, what ratio is csc G? QUESTION 57 1. In the triangle below, the ratio that represents sec is True Fals e QUESTION 58 1. Secant is the reciprocal of which other ratio? Sine Cosine Cotange nt Cosecan t QUESTION 59 1. In the triangle below, the ratio that represents cot equals 651707 True Fals e QUESTION 60 1. Tangent is the reciprocal of which other ratio? Sine Cosine Cotange nt Cosecan t QUESTION 61 1. The angle of elevation of a ladder leaning against a wall is 45. If the distance from the base of the ladder to the wall is 12 feet, then the length of the ladder is 12 feet long. True Fals e QUESTION 62 1. The length of a diagonal of a square is 7 mm. Find the area of the square. 24.5 mm2 29.08 mm2 21.2 mm2 22.1 mm2 QUESTION 63 1. If the angle that the sun makes with the side of a building is 75, and the distance from the top of the building to the tip of its shadow is 50 feet, the length of its shadow is 12.94 feet. True Fals e QUESTION 64 1. A security light is being installed outside a loading dock. The light must be placed at a 65 angle so that it illuminates a parking lot. If the distance from the end of the parking lot to the loading dock is 125 feet, the height of the security light is 113.29 feet. True Fals e 1. QUESTION 65 Which of the following graphs is f(x) = sin(x)? QUESTION 66 1. The domain of f(x) = sin(x) is all real numbers. The range of f(x) = sin(x) is True Fals e 1. QUESTION 67 What is the domain and range of f(x) = cos(x)? The domain is numbers. and the range is all real The domain is and the range is all real numbers. The domain is all real numbers and the range is The domain is all real numbers and the range is QUESTION 68 1. For what value(s) of x does cos(x) = 0? -270 -90 90 all of the above 1. QUESTION 69 One of the x-value(s) for tan(x) = 0 is 90. True Fals e QUESTION 70 1. What is the y-value for y = tan(x) when x = -45? 1 -1 QUESTION 71 1. Find the value of y. 28. 5 22. 4 25. 8 24. 2 QUESTION 72 1. is 40.4. True Fals e QUESTION 73 1. Find the surface area of the figure below. 63.84 ft2 127.68 ft2 84.67 ft2 254.02 ft2 1. QUESTION 74 Find the height of a rectangular prism if the surface area is 458.17 in 2, the width is 6.2 in and the length is 8.3 in. 12.5 in 16.5 in 8.9 in 12.25 in 1. QUESTION 75 Find the height of a cylinder with radius 3.5 cm and surface area 1000 cm 2. 13.42 cm 26.83 cm 41.97 cm 20.0 cm QUESTION 76 1. Find the height of a cylinder with radius 5 cm and surface area 1250 cm 2. 13.42 cm 26.83 cm 34.79 cm 20.0 cm QUESTION 77 1. The volume of a rectangular prism that measures 7 meters long, 9 meters wide, and 6 meters high is 378 m3. True Fals e QUESTION 78 1. Find the width of a rectangular prism if the volume is 57,680 cm3, the length is 43 cm, and the height is 94.4 cm. 14.69 cm 14.21 cm 16.87 cm 12.49 cm QUESTION 79 1. Find the volume of a cylinder with height 12 cm and diameter 7 cm. 840 cm3 147.76 cm3 112.59 cm3 461.81 cm3 1. QUESTION 80 Find the radius of a cylinder with a volume of 118.79 feet 3 and height of 5 feet. 3.45 ft 1.94 ft 2.52 ft 2.75 ft QUESTION 81 1. The surface area of the square pyramid below is 126 mm 2. True Fals e QUESTION 82 1. Find the surface area of the square pyramid below. 689 m2 744 m2 714 m2 728 m2 QUESTION 83 1. The surface area of the figure below is 37.70 m2. True Fals e 1. QUESTION 84 Find the slant height of a cone with surface area 282.74 ft 2 and diameter 10 ft. 13 ft 14 ft 12 ft 15 ft QUESTION 85 1. Find the height of a square pyramid with volume 26.97 ft 3 and dimensions of base 3 ft by 3 ft. 7 ft 8 ft 9 ft 10 ft QUESTION 86 1. Find the height of a square pyramid with volume 37.3 ft3 and dimensions of base 4 ft by 4 ft. 10 ft 5 ft 14 ft 7 ft QUESTION 87 1. Find the radius of a cone with volume 45.19 cm3 and height 7.5 cm. 1.2 cm 2.4 cm 2.6 cm 4.8 cm QUESTION 88 1. The volume of the figure below is 339.29 units 3. True Fals e QUESTION 89 1. Find the surface area of the figure below. 261.34 ft2 95.03 ft2 23.76 ft2 32.67 ft2 1. QUESTION 90 Find the length of the diameter of a sphere with a surface area of 1890.56 cm 2. 21.5 cm 24.54 cm 24.27 cm 12.27 cm QUESTION 91 1. The length of the radius of a sphere with a volume of 1463.76 in3 is 18.69 in. True Fals e 1. QUESTION 92 Find the length of the diameter of a sphere with a volume of 767.15 ft 3. 11.4 ft 5.7 ft 14.4 ft 7.5 ft QUESTION 93 1. Triangle ABC is located at A (-4, 5), B (-4, -1), and C (-1, 1) and is translated 3 units to the left and 2 units down. The translation of the triangle is located at A' (-1, 7), B' (-1, 1), and C' (2, 3). True Fals e QUESTION 94 1. Which of the following is an example of a translation? QUESTION 95 1. Which of the following sets of points are reflections of each other across the x-axis? (4, -7) 7) (4, -7) -7) (4, -7) 7) (4, -7) 4) 1. (4, (-4, (-4, (-7, QUESTION 96 Which of the following sets of points are reflections of each other across the y-axis? (-6, -9) (6, -9) (-6, -9) (6, 9) (-6, -9) (-6, 9) (-6, -9) (-9, -6) 1. 1. Which of the following is an example of a rotation? QUESTION 98 When Point E (-7, 2) is rotated 90 counterclockwise about the origin, it becomes Point E' (-2, -7). True Fals e 1. QUESTION 99 The length of a rectangle is 45 in and is dilated to 15 in. What is the scale factor? 3 -3 - 1. What are the two types of dilations? reduction and rotation reflection and enlargement rotation and translation reduction and enlargement