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Math 7 Unit 1 Coordinates and Design Review

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1.Use the grid below to answer the following questions. a)Which point has the coordinates (2, 1)? b) What are the coordinates of P?

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1.Use the grid below to answer the following questions. a)Which point has the coordinates (2, 1)? R b) What are the coordinates of P? (3,3)

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2.Use the grid below to answer the following questions. c) What is the vertical distance between points P and S? d) What is the horizontal distance between R and T?

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2.Use the grid below to answer the following questions. c) What is the vertical distance between points P and S? 3 down d) What is the horizontal distance between R and T? 2 right

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3. Use the grid below to answer the following questions. What are the coordinates of point B‘ after you rotate rectangle ABCD 180 about point D?

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3. Use the grid below to answer the following questions. What are the coordinates of point B‘ after you rotate rectangle ABCD 180 about point D? (3,1)

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4. Identify the letter that matches each of the following ordered pairs. ___ (3, 1), ___ (2, 8) These points are in quadrant ___.

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4. Identify the letter that matches each of the following ordered pairs. E (3, 1), M (2, 8) These points are in quadrant 1

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5. Identify the letter that matches each of the following ordered pairs. ___ (2, 4), ___ (4, 10) These points are in quadrant ___.

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5. Identify the letter that matches each of the following ordered pairs. V (2, 4), H(4, 10) These points are in quadrant 4

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6.Write the coordinates of the vertices for the shape on the coordinate grid. Shape 1: A____B____C____D____

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6.Write the coordinates of the vertices for the shape on the coordinate grid. Shape 1: A(2,5) B(2,2) C(8,6) D(8,1)

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7.Write the coordinates of the vertices for the shape on the coordinate grid. Shape 3: H____I____J____K____

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7.Write the coordinates of the vertices for the shape on the coordinate grid. Shape 3: H(-5,2) I(-6,0) J(-1,0) K(0,2)

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1. A 90 counterclockwise B 270 clockwise C 180 clockwise D 90 clockwise E 180 counterclockwise F 270 counterclockwise 2. 3. 8. Match each rotation in #1 to #3 with the correct description.

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1. A A 90 counterclockwise B 270 clockwise C 180 clockwise D 90 clockwise E 180 counterclockwise F 270 counterclockwise 2. C 3. F 8. Match each rotation in #1 to #3 with the correct description.

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9. Describe the translations shown by the arrows. Example: _1_ unit right_ _2_ units _up_ ___ units _______

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9. Describe the translations shown by the arrows. Example: _1_ unit right_ _2_ units _up_ 4 units left 1 unit up

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10. Describe the translations shown by the arrows. Example: _1_ unit right_ _2_ units _up_ ___ units _______

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10. Describe the translations shown by the arrows. Example: _1_ unit right_ _2_ units _up_ 3 units right 3 units down

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11. A coordinate grid has the following set of ordered pairs: (–2, –5), (0, –4), (3, 0), (4, 1), (5, 2), (6, 3). The point (0, –4) is out of place. True or False

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11. A coordinate grid has the following set of ordered pairs: (–2, –5), (0, –4), (3, 0), (4, 1), (5, 2), (6, 3). The point (0, –4) is out of place. True or False

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12. Which transformation is a slide along a straight line? a.translationc.reflection b.rotationd.image

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12. Which transformation is a slide along a straight line? a.translationc.reflection b.rotationd.image

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13. Andy is given the ordered pairs (2, 5), (3, 10), (4, 15), (5, 20). What do the coordinates of the four points have in common? a. When the x-coordinate decreases by 1, the y-coordinate increases by 5. b. When the x-coordinate increases by 1, the y-coordinate increases by 5. c. When the x-coordinate increases by 5, the y-coordinate increases by 1. d. When the y-coordinate increases by 1, the x-coordinate increases by 5.

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13. Andy is given the ordered pairs (2, 5), (3, 10), (4, 15), (5, 20). What do the coordinates of the four points have in common? a. When the x-coordinate decreases by 1, the y-coordinate increases by 5. b. When the x-coordinate increases by 1, the y-coordinate increases by 5. c. When the x-coordinate increases by 5, the y-coordinate increases by 1. d. When the y-coordinate increases by 1, the x-coordinate increases by 5.

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14. Identify the following transformation. a. translationc. reflection b. rotation d. image

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14. Identify the following transformation. a. translationc. reflection b. rotation d. image

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15. Identify the following transformation. a. translationc. reflection b. rotationd. image

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15. Identify the following transformation. a. translationc. reflection b. rotationd. image

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16. What are the coordinates of the vertices of quadrilateral ABCD? a. A(–2, –1), B(3, –2), C(3, 1), D(–2, –2) b. A(–2, –1), B(–2, 3), C(3, 1), D(–2, –2) c. A(–1, –2), B(3, –2), C(1, 3), D(–2, –2) d. A(–1, –2), B(–2, 3), C(1, 3), D(–2, –2)

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16. What are the coordinates of the vertices of quadrilateral ABCD? a. A(–2, –1), B(3, –2), C(3, 1), D(–2, –2) b. A(–2, –1), B(–2, 3), C(3, 1), D(–2, –2) c. A(–1, –2), B(3, –2), C(1, 3), D(–2, –2) d. A(–1, –2), B(–2, 3), C(1, 3), D(–2, –2)

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17. Quadrilateral ABCD is translated 2 units up and 4 units left. What are the coordinates of the vertices of the image? a. A(5, 0), B(6, –5), C(3, 5), D(0, –2) b. A(5, 0), B(6, –5), C(3, –5), D(2, 0) c. A(–5, 0), B(–6, 5), C(–3, 5), D(–2, 0) d. A(–5, 0), B(–6, –5), C(–3, –5), D(–2, 0)

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17. Quadrilateral ABCD is translated 2 units up and 4 units left. What are the coordinates of the vertices of the image? a. A(5, 0), B(6, –5), C(3, 5), D(0, –2) b. A(5, 0), B(6, –5), C(3, –5), D(2, 0) c. A(–5, 0), B(–6, 5), C(–3, 5), D(–2, 0) d. A(–5, 0), B(–6, –5), C(–3, –5), D(–2, 0)

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18. Describe the transformation shown in the diagram below. a. translationc. rotation and reflection b. translation and reflectiond. reflection

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18. Describe the transformation shown in the diagram below. a. translationc. rotation and reflection b. translation and reflectiond. reflection

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19. XYZ is reflected in the y-axis on the coordinate grid. What are the coordinates of the transformed image X'Y'Z'? a. X'(4, 5), Y'(2, 2), Z'(4, 2) b. X'(–4, 5), Y'(–2, 2), Z'(–4, 2) c. X'(4, –5), Y'(2, –2), Z'(4, –2) d. X'(–4, –5), Y'(–2, –2), Z'(–4, –2)

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19. XYZ is reflected in the y-axis on the coordinate grid. What are the coordinates of the transformed image X'Y'Z'? a. X'(4, 5), Y'(2, 2), Z'(4, 2) b. X'(–4, 5), Y'(–2, 2), Z'(–4, 2) c. X'(4, –5), Y'(2, –2), Z'(4, –2) d. X'(–4, –5), Y'(–2, –2), Z'(–4, –2)

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20. Trapezoid PQRS is translated 2 units right and 3 units up. What are the coordinates of the transformed image P'Q'R'S'? a. P'(1, –5), Q'(0, –1), R'(–1, –1), S'(–2, –5) b. P'(–1, –5), Q'(0, –1), R'(1, –1), S'(2, –5) c. P'(–1, 5), Q'(0, 1), R'(1, 1), S'(2, 5) d. P'(1, 5), Q'(0, 1), R'(–1, 1), S'(–2, 5)

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20. Trapezoid PQRS is translated 2 units right and 3 units up. What are the coordinates of the transformed image P'Q'R'S'? a. P'(1, –5), Q'(0, –1), R'(–1, –1), S'(–2, –5) b. P'(–1, –5), Q'(0, –1), R'(1, –1), S'(2, –5) c. P'(–1, 5), Q'(0, 1), R'(1, 1), S'(2, 5) d. P'(1, 5), Q'(0, 1), R'(–1, 1), S'(–2, 5)

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