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For this assignment, you will be required to do the following:
1. Define transformations 2. Identify transformations graphically 3. Identify transformations algebraically 4. Graph transformations. Choose the correct word for the following statement:
A change in position, size or shape of a figure is called a(n) ___________________. Translation Transformation Reflection Rotation Choose the correct word for the following statement:
A transformation in which all points move the same distance in the same direction is called a(n) _____. Translation Transformation Reflection Rotation Choose the correct word for the following statement:
A transformation in which every point on a figure turns around a fixed point at the same angle. Translation Transformation Reflection Rotation Choose the correct word for the following statement:
A transformation in which a geometric figure is flipped across a line creating a mirror image. Translation Transformation Reflection Rotation When completing a transformation, the figure before the transformation is called the ________________ and the figure after the transformation is called the __________________. original image, second image first image, second image primary image, secondary image preimage, image Identify the algebraic rule that would translate a figure 3 units left and 2 units up. R(x,y) --> (x+3, y+2) H(x,y) --> (x-3, y+2) N(x,y) --> (x+3, y-2) M(x,y) --> (x-3, y-2) Identify the algebraic rule that would rotate a figure 90 degrees clockwise. R(x,y) --> (x, -y) H(x,y) --> (-y, x) N(x,y) --> (y, -x) M(x,y) --> (y, x) Identify the algebraic rule that would rotate a figure 90 degrees counterclockwise. R(x,y) --> (x, -y) H(x,y) --> (-y, x) N(x,y) --> (y, -x) M(x,y) --> (y, x) Identify the algebraic rule that would rotate a figure 180 degrees. R(x,y) --> (-x, -y) H(x,y) --> (-x, y) N(x,y) --> (y, x) M(x,y) --> (x, -y) How would the following rule transform a figure?
H(x,y) ---> (x+1, y-3) Translation one unit left and three units up. Translation one unit right and three units up. Translation one unit left and three units down. Translation one unit right and three units down. How would the following rule transform a figure?
H(x,y) ---> (-x, y) Translation one unit left. Reflection across the x-axis. Reflection across the y-axis. Reflection across the y=x line. How would the following rule transform a figure?
H(x,y) ---> (x, -y) Translation one unit down Reflection across the x-axis. Reflection across the y-axis. Reflection across the y=x line. How would the following rule transform a figure?
H(x,y) ---> (y, x) Rotation of 90 degrees counterclockwise. Reflection across the x-axis. Reflection across the y-axis. Reflection across the y=x line. For the following question, use point A(-3,7) as your preimage.
What is the image of point A after it is translated 4 units to the left and 5 units up? A'(1,12) A'(1,2) A'(-7,12) A'(-7,2) For the following question, use point A(-3,7) as your preimage.
What is the image of point A after it is reflected across the y=x line? A'(3,7) A'(7,-3) A'(-3,-7) A'(3,-7) For the following question, use point A(-3,7) as your preimage.
What is the image of point A after it is rotated 180 degrees about the origin? A'(3,7) A'(7,-3) A'(-3,-7) A'(3,-7) A B C If the figure is reflected across the y-axis, what would the new coordinate for point C be? (Be sure to use parenthesis in your answer.) A B C If the figure is rotated 90 degrees clockwise, what would the new coordinate for point A be? A B C If the figure is reflected across the x-axis, what would the new coordinate for point B be? A A' B B' C C' H(x,y) --> (x-2, y+4) H(x,y) --> (x-2, y-4) H(x,y) --> (x+2 , y+4) Identify the rule that matches the transformation shown in the diagram. H(x,y) --> (x+2, y-4) A B C Label the points correctly after a reflection over the x-axis. |