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Transformations and the Coordinate Plane Answer Key

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Glide Reflection
#1 A combination of a reflection and a translation (a 2-step transformation). What is Glide Reflection?
#2 Is this an example of a Glide Reflection? Why or Why not? No. The Translation is correct in either direction; however, there is NO reflection.
#3 Is this an example of a Glide Reflection? Why or Why not? Yes, the image was TRANSLATED from above the line and the ROTATED on the same side of the line.
#4 What is the function to do the TRANSLATION in this example? Explain how you came to your answer. (x,y) becomes (x + 5, y)
#5 What is the function to do the ROTATION in this example? Explain how you came to your answer. (x,y) becomes (x, -y)
Rotational Symmetry
#1 What does rotate mean? What is to turn?
#2 What is the angle of rotation of a regular hexagon? What is 60 degrees?
#3 How does a rotation of 180 degrees around the origin change the values of coordinate (x,y) on the corrdinate graph? (x,y) becomes (-x,-y)
#4 What 7 letters of the alphabet have rotational symmetry? H,N,S,I,O,X,Z
#5 What is the Order of Symmetry for an equilateral triangle? What is 3?
Reflection (line symmetry)
#1 A _________ is a transformation in which a figure is reflected, or flipped, over a line What is reflection?
#2 A figure has __________ if a line divides the figure into two parts that are reflections of each other over the line. What is line symmetry?
#3 _________ can be used to describe the images of figures after reflections in the axes of a coordinate plane. What is coordinate notation?
#4 This is a reflections over which axis? What is y-axis?
#5 This is a reflection over which axis? What is x-axis?
Translation
#1 Moving a shape, without rotating or flipping it. 'sliding' What is translation?
#2 Find the coordinates of the vertices of each figure after the given transformation. Translation: 2 units right and 1 unit up ( Q(0,-1), D(-2,2), V(2,4), J(3,0) ) Q (2,0), D (0,3), V (4,5), J (5,1)
#3 Find the coordinates of the vertices of each figure after the given transformation. Translation: 2 units left and 1 unit down ( Q(0,-1), D(-2,2), V(2,4), J(3,0) ) Q (-2,-2), D (-4,1), V (0,3), J (1,-1)
#4 Write a rule to describe the transformation. Translation: right 6, down 4
#5 Desribe how this is a translation This guy is on a “slip and slide” He is sliding horizontally. Doesn’t change size or shape.
Dilations
#1 A dilation changes size, but not the ______ of a figure. What is shape?
#2 Dilations produce ______ figures. What is congruent?
#3 True/False A dilation can only enlarge the size of the original figure. What is false?
#4 The ______ factor describes how much the pre-image is reduced or enlarged. What is scale?
#5 A scale factor between 0 and 1 _____ the size of the figure. What is reduces?
Final Question