Question

1. the vertices of a quadrilateral are given in the table.

a. for each given point (x,y), find (-x,y) and (x,-y).
c. describe the transformation (x,y)→(-x,y) in words. answer:
d. describe the transformation (x,y)→(x,-y) in words. answer:
points: 2 points

Explanation:

Step1: Find (-x,y) and (x,-y) for (-1,-3)

For (-1,-3), (-x,y) is -(-1), - 3 = (1,-3) and (x,-y) is (-1,3).

Step2: Find (-x,y) and (x,-y) for (-1,1)

For (-1,1), (-x,y) is -(-1), 1 = (1,1) and (x,-y) is (-1,-1).

Step3: Find (-x,y) and (x,-y) for (5,1)

For (5,1), (-x,y) is -5, 1 = (-5,1) and (x,-y) is (5,-1).

Step4: Find (-x,y) and (x,-y) for (5,-3)

For (5,-3), (-x,y) is -5, - 3 = (-5,-3) and (x,-y) is (5,3).

Step5: Describe (x,y)→(-x,y)

The transformation (x,y)→(-x,y) is a reflection across the y - axis.

Step6: Describe (x,y)→(x,-y)

The transformation (x,y)→(x,-y) is a reflection across the x - axis.

Answer:

(x,y)	(-x,y)	(x,-y)
(-1,1)	(1,1)	(-1,-1)
(5,1)	(-5,1)	(5,-1)
(5,-3)	(-5,-3)	(5,3)

c. Reflection across the y - axis.
d. Reflection across the x - axis.