Question

Given the diagram shown, which of the following statements are true.

Answer 1

I,II

1) Since in this diagram we have two triangles, whose sides AI and LH are parallel to each other we can state the following:

2) And since similar triangles have congruent angles and proportional sides, we can state as true the following:

I.∠JHL ≅ ∠JIK Similar triangles have congruent angles

As they are similar triangles we can write out the following ratios:

$\frac{JI}{JH}=\frac{JK}{JL}$

These are true

And the third is not correct.

3) Hence, the answer is I,II