Show work on all free response. Question 1: Describe in your own words what a translation is. 3 points QUESTION 2 1. How are the coordinates of the new point found if it is translated right/left and up/down? 3 points QUESTION 3 1. There are three ways to denote a translation. What are the three ways? 3 points QUESTION 4 1. What is (-1, -2)? 3 points QUESTION 5 1. Start with the point A (3, 1). Translate the point 1 unit to the left and 4 units down. What are the new coordinates of the point A'? Now translate A' 3 unit to the left and 2 units up. What are the new coordinates of the point A''? What translation would need to be made in order for the result to be the original point A (3, 1)? 3 points QUESTION 6 1. Describe in your own words what a reflection is. 3 points QUESTION 7 1. How are the coordinates of the new point found if it is translated right/left and up/down? 3 points QUESTION 8 1. How are the coordinates of a new point found if the point is reflected through the line y = x? How are the coordinates of the new point found if the point is reflected through the origin? 3 points QUESTION 9 1. The point X (-3, 6) is a reflection of the point X' (3, -6). What are they reflected through? 3 points QUESTION 10 1. Start with the point B (-1, -4). Reflect the point through the y-axis. What are the new coordinates of the point B'? Now reflect the point through the x-axis. What are the new coordinates of the point B''? What is the relationship between the original point B and B''? Can you describe this in terms of one reflection QUESTION 1 1. Define translation. A translation is a type of transformation that can be defined as an image rotated across a line or a point. A translation 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 translation is a type of transformation that reduces or enlarges the figure to a similar figure. A translation is a type of transformation that can be defined as a mirror image seen across a line or a point. 2 points 1. QUESTION 2 Which of the following is an example of a translation? 2 points QUESTION 3 1. Quadrilateral WXYZ is located at W(2,1), X(5,2), Y(4,4), Z(2,4). A translation of the quadrilateral is located at W'(5, 5), X'(8, 6), Y'(7, 8), Z'(5, 8). How is the quadrilateral translated? Quadrilateral units up. Quadrilateral units up. Quadrilateral units down. Quadrilateral units down. WXYZ is translated 3 units to the right and 4 WXYZ is translated 4 units to the right and 3 WXYZ is translated 3 units to the left and 3 WXYZ is translated 4 units to the left and 3 2 points 1. QUESTION 4 Under the translation T(9, -2) the point (-3, -6) will become (6, -8). True Fals e 2 points QUESTION 5 1. If the following object is translated (x + 2, y - 3), where will the translation be located? 2 points 1. QUESTION 6 What type of transformation can be defined as a mirror image seen across a line or a point? reflectio n translati on dilation rotation 2 points 1. QUESTION 7 Which of the following is a real-life example of a reflection? looking in a mirror going down a water slide blowing up a balloon climbing a tree 2 points QUESTION 8 1. Which of the following sets of points are reflections of each other across the x-axis? (2, 3) (-2, -3) (2, 3) (2, -3) (2, 3) (-2, 3) (2, 3) (-3, -2) 2 points QUESTION 9 1. If triangle ABC is reflected across line m, where will the new coordinates be located? A'(-2, 4); C'(2, 8) A'(7, -8); 2, -8) A'(2, -4); C'(7, -8) A'(2, -4); 2, -9) B'(-7, 8); B'(2, -4); C'(B'(-2, -8); B'(7, -9); C'(2 points Q U E S T I O N 1 -T R A N S L AT I O N / F E L F E C T I O N Q U I Z 1. How many lines of symmetry does the following figure have? There is one line of symmetry There are two lines of symmetry There are four lines of symmetry There are no lines of symmetry 1. A rotation is a type of transformation that turns the figure clockwise or counterclockwise but does not change the figure. True Fals e 2 points QUESTION 2 1. Which of the following is an example of a rotation? 2 points QUESTION 3 1. Point A is located at (3, 4) and is rotated 90 counterclockwise about the origin. What is the new location of point A? (-3,4) (4, 3) (-4, 3) (4, -3) 2 points QUESTION 4 1. When point E (-6, 2) is rotated 270 counterclockwise about the origin, its coordinate becomes Point E' (2, 6). True Fals e 2 points QUESTION 5 1. If the figure below is rotated 180, what is the new location? A'(-8, 0); B'(0, 6); D'(0, -6) A'(0, 8); B'(-6, 0); D'(6, 0) A'(0, -8); B'(6, 0); D'(-6, 0) A'(8, 0); B'(0, -6); D'(0, 6) C'(8, 0); C'(0, -8); C'(0, 8); C'(-8, 0); 2 points QUESTION 6 1. Define enlargement and 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. 2 points QUESTION 7 1. Which of the following is an example of a dilation? 2 points QUESTION 8 1. Find the measure of the dilated image of segment CD, 5 units long, with a scale factor of 4. 1 20 2 points QUESTION 9 1. The length of a rectangle is 48 in and is dilated to 12 in. What is the scale factor? -4 4 2 points QUESTION 10 1. Under a dilation, triangle XYZ where X(6, 3), Y(-2, 4), and Z(10, -2) becomes triangle X'Y'Z' where X'(3, 1.5), Y'(-1, 2), and Z'(5, -1). What is the scale factor for this dilation? -2 2 2 points QUESTION 11 1. Consider line segment AB whose endpoints are (1, 4) and (4, 8). If this segment is dilated by a scale factor of 3 centered at the origin, find the length of the new segment, A'B'. 3 5 9 1 5 2 points Q U E S T I O N 1 2 - R O TAT I O N / D I A L AT I O N 1. The image of a reflection is always smaller than the pre-image. True Fals e Question 1 1. How are the coordinates of the new point found if it is rotated 90 counterclockwise? How many degrees is that equivalent to if the rotation is clockwise? 3 points 1. QUESTION 2 How are the coordinates of the new point found if it is rotated 180 counterclockwise? How many degrees is that equivalent to if the rotation is clockwise? 3 points QUESTION 3 1. Describe in your own words what a rotation is. 3 points QUESTION 4 1. A triangle has coordinates A (1, 5), B (-2, 1) and C (0, -4). What are the new coordinates if the triangle is dilated with a scale factor of ? 3 points QUESTION 5 1. A line segment has endpoints P (3, 6) and Q (12, 18) and is dilated so that its new endpoints are P' (2, 4) and Q' (8, 12). What is the scale factor? If the length of PQ is 15, what is the length of P'Q'? 3 points QUESTION 6 1. A triangle has coordinates A (1, 5), B (-2, 1) and C (0, -4). What are the new coordinates if the triangle is rotated 90 clockwise around the origin? 3 points 1. QUESTION 7 How are the coordinates of the new point found if it is rotated 270 counterclockwise? How many degrees is that equivalent to if the rotation is clockwise? 3 points 1. QUESTION 8 How are the coordinates of the new point found if it is dilated with a scale factor of 3? 3 points Q U E S T I O N 9 - R O TAT I O N A N D D I A L AT I O N S H O RT A N S W E R 1. Describe in your own words what a dilation is. QUESTION 1 1. Which of the following nets, when assembled, results in a pyramid? none of the above all of the above QUESTION 2 1. Find the surface area of the figure below. 200 in2 88 in2 42.5 in2 85 in2 QUESTION 3 1. Find the surface area of the square pyramid below. 1275 mm2 535.5 mm2 2261 mm2 782 mm2 1. QUESTION 4 When assembled, which of the following is a cone? all of the above none of the above QUESTION 5 1. Find the surface area of the figure below. 12.6 5 20.2 9 16.5 6 14.1 1 1. QUESTION 6 Find the surface area of a cone with diameter 18 inches and slant height 22 inches. 452.47 in2 703.04 in2 650.31 in2 876.5 in2 QUESTION 7 1. Find the volume of the figure below. 64 8 68 4 48 6 86 4 QUESTION 8 1. Find the volume of the square pyramid with length 14.7 inches and height 18 inches. 3889.62 in3 1296.54 in3 972.41 in3 1944.81 in3 QUESTION 9 1. Find the volume of the figure below. 0.94 cm3 2.81 cm3 1.41 cm3 0.84 cm3 QUESTION 10 1. Find the volume of the figure below. 1654 m3 8063.49 m3 16126.97 m3 5375.66 m3 Q U E S T I O N 1 1 - 1 0 . 0 2 S U R FA C E A R E A V O LU M E A N D P Y R A M I D AND CONES 1. Find the volume of this oblique pyramid. 160 cubic units 320 cubic units 480 cubic units 640 cubic units 2