Unit 5 Transformations in the Coordinate Plane Translations x,y x 5,y 5 right 5, down 5 x,y x 5,y 5 left 5, up 5
Reflections x,y x, y x,y y,x over x axis over y x x,y x,y x,y y, x over y axis
over y x over y #or x # count Rotations 90 C W x,y y, x 270 C C W 270 C W x,y y,x 90 C C W x,y x,
y 180 C C W 180 C W Question 1
The top shape (pre image) has been translated to the bottom shape (image). Which rule represents the translation? a) b) x1,y1 x,y c) 6 x1,y1 xd) 4,y 4
x1,y1 x 6,y x1,y1 x 6,y 6 Question 2
If the result of (x, y)(x 4, y + 3) is A(-2, 8), what is the pre-image, or A? A 2,5 Question 3 If A(4, -9) is translated using the rule, (x, y)(x+5, y-7) what is the image, or A? A ' 9, 16 Question 4
Which best describes the transformation that occurs in the graph? a) dilationc) rotation b) refle c tion d) translation
Question 5 A triangle in the coordinate place has coordinates of (2, 3), (-4, -5), and (-2, 4). It is reflected about the x-axis. What are the new coordinates? 2, 3 , 4,5 , and 2, 4 Question 6 The figure on the left has been transformed to the figure on the right. Which transformation does this show? a) b)
x1,y1 c) y,x 1 1 x, y x ,y d)
x1,y1 x,y x1,y1 x, y Question 7 Reflect the figure across x=1. What is the image of T?
T' 6,4 Question 8 The figure is transformed as shown in the diagram. Describe the transformation a) dilation, then c) refle c tion b) rotation, then refl d)e ction refle ction, then rotation translation, then refle ction Question 9
Rotate the point K(5,-6) 270 Clockwise about the origin. what is the image, or K? K' 6,5 Question 10 If C(9,4) is reflected over the y-axis, then reflected over the line y=-x. What is the final image, or C? C " 4,9
Question 11 If B(2,6) is translated using the rule (x, y)(x +7, y -4), and then rotated 180 about the origin. What is the final image, or B? B" 9, 2 Question 12 A reflection of triangle abc to triangle abc is shown.
Which rule represents this reflection? a) x,y c) y,x x,y x,y b) x,y d) x, y x,y x, y
Question 13 Which transformation will be equivalent to rotating a figure 180 counterclockwise? a) b) reflecting over y x c) refle cting over y x d) refle cting over x axis
and the y axis translating left 3 units and down 5 units Question 14 Describe the transformation a)refle c tion ac ross x c) axis b)refle c tion ac ross y axis d)
refle ction ac ross y x refle c tion ac ross y x Answers to MC Practice Front 1. B 2. C 3. D 4. C 5. C Back 6. A 7. D 8. B
9. B