The diagram is drawn on a square grid. Of the triangles marked P, Q, R, and S, which is the image of triangle X under a reflection in the line MN?

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answer is B.

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Detailed Solution

Concept-The line dividing the image into its two mirror counterparts is known as the line of symmetry. It may be horizontal, vertical, or diagonal. Additionally known as reflection symmetry. Decide which picture of the triangle corresponds with the triangle X by folding the graphic along the line MN.
Five rectangles are shown in the diagram, which was created on a square grid. We need to locate the triangle X's reflection beneath the line MN.

We are aware that the line of symmetry is a hypothetical axis or line that, when folded, results in symmetrical or identical halves of the figure. They are mirror images of one another in both parts.
As a result, we will fold the square grid along line MN and observe that, upon folding, the triangle X overlaps Q.

If folding the entire square grid is challenging, only fold the region shown by the red square in the diagram above. When we fold it, it appears as follows: