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

Mathematics

1 answer:

pogonyaev3 years ago

5 0

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.

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

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