Similar triangles may or may not be congruent.
The true statement is: A. <HIJ congruent to <LKJ by ASA
The given parameters are:
\(\mathbf{\angle H \cong \angle L}\)
\(\mathbf{HJ \cong JL}\)
The above highlights imply that:
\(\mathbf{\angle J \cong \angle J}\)
This means that, the angle at point J in both shapes are also congruent.
By that, the two shapes have two congruent angles and one congruent side.
So, we can conclude that, triangles HIJ and LKJ are congruent by ASA theorem of similar triangles
Hence, (a) is true
Read more about similar and congruent triangles at:
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