Question

Which ones are reflection over x-axis and reflection over y-axis? (make a chart for reflection over x-axis and put the letters for that one. make a chart for reflection over y-axis and put the letters for that one.)

Answer 1

Consider the individual options.

M)

A figure in quadrant II is reflected into quadrant III.

We know that the point in quadrant II is (-x,y) and the point in quadrant III is (-x,-y).

Recall that the reflection of point (x, y) across the x-axis is (x, -y).

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

A figure in quadrant II is reflected into quadrant III is reflected over the x-axis.

N)

`(12,-7)\rightarrow(-12,-7)`

Let x=12 and y =-7 and substitute in the given, we get

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

Recall that the reflection of point (x, y) across the y-axis is (-x, y).

Answer:

`(12,-7)\rightarrow(-12,-7)\text{ is reflected over the y-axis.}`

O)

The point H(-1,4) is reflected to H' (1,4).

`(-1,4)\rightarrow(1,4)`

Let x=-1 and y =4 and substitute in the given, we get

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

Recall that the reflection of point (x, y) across the y-axis is (-x, y).

The point H(-1,4) is reflected to H' (1,4) is reflected over the y-axis.

P)

The axis line between two stars is the x-axis.

The given image is reflected over the x=axis.

Q)

The point R(-3,7) is reflected into quadrant III.

The point on quadrant III is of the form (-x,-y).

Let x =-3 and y =7 and the given can be written as follows.

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

Recall that the reflection of point (x, y) across the x-axis is (x, -y).

The point R(-3,7) is reflected into quadrant III is reflected over the x-axis.

R)

`(a,b)\rightarrow(a,-b)`

Recall that the reflection of point (x, y) across the x-axis is (x, -y).

Answer:

`(a,b)\rightarrow(a,-b)\text{ is reflected over the x-axis.}`

S)

Point B(-10,-7) is reflected into quadrant IV.

The point on quadrant III is of the form (x,-y).

Let x =-10 and y =-7 and the given can be written as follows.

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

Recall that the reflection of point (x, y) across the y-axis is (-x, y).

Point B(-10,-7) is reflected into quadrant IV is reflected over the y-axis.

T)

`(c,d)\rightarrow(-c,d)`

Recall that the reflection of point (x, y) across the y-axis is (-x, y).

Answer:

`(c,d)\rightarrow(-c,d)\text{ is reflected over the y-axis.}`