Question

Use the points H(−4, 1) and K(4, 1). Complete the description of segment HK and find its length.

Answer 1

Use the points H(−4, 1) and K(4, 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 H(−4, 1) and K(4, 1) , the y values are same so the segment HK is a horizontal . The length is the difference between x values ( 4 -(-4)) = 8

Segment HK is a Horizontal segment that is 8 units long.

(b) Describe the image of segment HK under the transformation

(x, y) -----> (−y, x)

H(−4, 1) -----> (-1, -4)

and K(4, 1) ---> (-1, 4)

'x' values are same so line HK is Vertical. The length is the difference between y values ( 4 -(-4)) = 8

The image of segment HK is a Vertical segment that is 8 units long.

(c) escribe the image of segment HK under the transformation

(x, y) ----> (2x, y)

H(−4, 1) -----> (-8, 1)

and K(4, 1) ---> (8, 1)

'y' values are same so line HK is Horizontal. The length is the difference between y values ( 8 -(-8)) = 16

The image of segment HK is a Horizontal segment that is 16 units long.