When we reflect a segment in the x-axis, it's endpoint change in the following way.
preimage (a,b)→ image (a,- b)
Practice makes perfect
Let's first graph XY.
When we reflect a segment in the x-axis, it's endpoint change in the following way.
preimage (a,b)→ image (a,- b)
Using this rule, we can find the vertices of the rotated polygon.
Point
(a,b)
(- b,a)
X
(5,- 2)
(5,2)
Y
(3,- 3)
(3,3)
When we know the vertices of the reflected segments, we can draw it.
When we rotate a figure 270^(∘) counterclockwise about the origin, the coordinates of the figures vertices change in the following way.
preimage (a,b)→ image (b,- a)
Using this rule, we can find the vertices of the rotated polygon.
Point
(a,b)
(b,- a)
X
(5,2)
(2,- 5)
Y
(3,3)
(3,- 3)
When we know the vertices of the rotated figure, we can draw it.
