Question

I need to know which parts of the triangle are congruent in the image?

Answer 1

First, notice that both triangles are congruent. Corresponding parts of congruent triangles are also congruent.

Identify the corresponding parts of the triangle to find which parts are congruent.

The correspondence between the vertices of the triangle is such that:

`\Delta JLH\cong\Delta JKI`

Which means that the following segments are congruent:

`\begin{gathered} JL\cong JK \\ HL\cong KI \\ JH\cong JI \end{gathered}`

And the following angles are congruent:

`\begin{gathered} \angle LHJ\cong\angle KIJ \\ \angle LJH\cong\angle KJI \\ \angle JLH\cong\angle JKI \end{gathered}`

From the given options, check the ones that show a correct congruence relation between the parts of the triangles.

Therefore, the correct options are:

- Segment JL is congruent to segment JK.

- Segment HL is congruent to segment KI.

- Angle LJH is congruent to angle KJI.