Question

Match the coordinate rule with the reflection that produces it.Column AColumn B1.Reflect across the x-axisa. (b, a)2.Reflect across the y-axisb. (a, b)3.Reflect across the originC. (-b, -a)4.Reflect across the line y = xd. (-a, -b)5.Reflect across any horizontal line. Ex: y = -2e. (a, -b)f. (2x-a, b)6.Reflect across any vertical line. Ex: x = 5g. (a, 2y-b)

Answer 1

4. Reflect across the line y = x ------- (b,a)

for reflection across the line y=x, the value of x and y coordinates are interchanged;

`(x,y)\rightarrow(y,x)`

5. Reflect across any horizontal line. Ex: y = -2 ......... (a,2y-b)

for reflection across any horizontal line, the x coordinate remain the same but the y coordinate is subtracted from twice the value of the y coordinate of the line of reflection.

`(x,y)\rightarrow(x,2y_1-y)`

6. Reflect across any vertical line. Ex: x = 5 ---------- (2x-a, b)

for reflection across any vertical line, the y coordinate remain the same but the x coordinate is subtracted from twice the value of the x coordinate of the line of reflection.

`(x,y)\rightarrow(2x_1-x,y)`