Mathematics

Problem

The side lengths of two triangles are:

DE = 6.3\,\text{cm}

EF = 7.5\,\text{cm}

FD = 8\,\text{cm}

GH = 7.5\,\text{cm}

HI = 8\,\text{cm}

IG = 6.3\,\text{cm}

. (i) Verify that

\triangle DEF

and

\triangle GHI

are congruent. (ii) Find the perimeter of

\triangle DEF

. (iii) Write the three pairs of corresponding vertices for the two triangles.