Question

△LMNis the result of a reflection of ​△XYZ​ across the y-axis.

Which angle in the image corresponds to ∠X in the pre-image?

∠L
∠M
∠N

Answer 1

We have been given image of two triangles. We are asked to find the angle in the image corresponds to ∠X in the pre-image.

We know that a refection gives us mirror image of the point or object we are reflecting. The line of reflection which in this case is y-axis acts as a mirror. Line of reflection is equidistant from object and its image.

Now let us look at our given image. After looking at our image we see that y-axis is halfway between X and L,Y and M and also Z and N.

We can see that
`\angle X` corresponds to
`\angle L`,
`\angle Y` corresponds to
`\angle M`, and
`\angle Z` corresponds to
`\angle N`.

Therefore, angle L in the image corresponds to angle X in the pre-image and 1st option is the correct choice.