Question

Can anyone help me as soon as possible?

Answer 1

First plot all points as shown in attachment and draw the triangles ABC, XYZ, MNO, JKL and PQR

Now we will do following steps on triangle MNO

(1) Relect it about x axis as shown in second attachment by triangle M'N'O'

(2) Reflect triangle M'N'O' about y axis as shown by triangle M"N"O"

(3) Now translate this triangle M"N"O" as shown by M"'N"'O"'

Since traingle M"'N"'O"' overlaps triangle ABC exactly, so it proves that triangle MNO is congruent to triangle ABC

So triangle MNO can be proved congruent to triangle ABC by sequence of reflection and translation

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Now can see in third attachment that triangle PQR can be rotated about point Q 90° anticlockwise direction as shown to get triangle P'Q'R' which will exactly overlap triangle JKL. So triangle PQR can be proved congruent to triangle JKL by single rotation.