Use the points A(4, 4) and B(4, −5)
(1) (a) From two points , we will get a vertical line when 'x' values are same and horizontal line segment when 'y' values are same
Here in A(4, 4) and B(4, −5) , the x values are same so the segment AB is a Vertical . The length is the difference between y values ( 4 -(-5)) = 9
Segment AB is a Vertical segment that is 9 units long.
(2) Describe the image of segment AB under the transformation
(x, y) ----> (x, 2y)
A(4, 4) -----> (4, 8)
and B(4, −5) ---> (4, -10)
'x' values are same so line AB is Vertical. The length is the difference between y values ( 8 -(-10)) = 18
The image of segment AB is a Vertical segment that is 18 units long.
(3) Describe the image of segment AB under the transformation
(x, y) ----> (x + 2, y)
A(4, 4) -----> (6, 4)
and B(4, −5) ---> (6, -5)
'x' values are same so line AB is Vertical. The length is the difference between y values ( 4 -(-5)) = 9
The image of AB is a Vertical segment
2 units to the right of the original segment that is
9 units long.
90