1.3 Representing and Describing Transformations

Triangle ABC is shown below. Suppose the triangle is translated 5 units to the right and 7 units down. What are the coordinates of the image of vertex C after this transformation?

• (-8, 6)

• (2, -6)

• (-3, -6)

• (2, 0)

Which coordinate notation correctly describes a transformation that maps the black triangle to the gray triangle?

• The rotation (x, y) --> (-x, -y)

• The translation (x, y) --> (x + 6, y - 2)

• The rotation (x, y) -->(-y, -x)

• The translation (x, y) --> (x + 4, y - 8)

Which type of transformation is (x, y) --> (x + 2, y - 2)?

• dilation

• reflection

• rotation

• translation

What is the image of (x, y) after a translation of 3 units right and 7 units down?

• (x + 3, y - 7)

• (x + 3, y + 7)

• (x - 3, y - 7)

• (x - 3, y + 7)

Write a rule for the translation.

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)

Point (-5,2) is reflected over the y axis.  Where is the new point located?

• (5,2)
• (-5,-2)
• (-5,2)
• (5,-2)

Which answer shows a reflection across the y-axis?

• a
• b
• c
• d

Find K' if the figure is reflected across the x-axis

• (4, 1))
• (-1, -4)
• (1, -4)
• (1, 4)

What is the algebraic notation of a figure is Translated 9 units right and 3 units down?

• (x, y) --> (x - 9, y + 3)
• (x, y) --> (x + 9, y - 3)
• (x, y) --> (x + 3, y - 9)
• (x, y) --> (9x, 3y)

A rotation is a ____________________________?

• Change in position by reflecting it over the x axis

• Change in position by rotating it around

• Change in position by rotating it around the origin

• Change in position by rotating it around a particular point