△hij and △jkl are shown below.\nwhich statement is true?\n△hij is similar to △jkl.\n△hij is not similar to…

Explanation:

Step1: Analyze $\triangle HIJ$

In $\triangle HIJ$, $HI = IJ$ (marked with equal ticks), so it's isosceles. $\angle H = 70^\circ$, so $\angle J=\angle H = 70^\circ$ (isosceles triangle base angles). Then $\angle I=180^\circ - 70^\circ - 70^\circ = 40^\circ$.

Step2: Analyze $\triangle JKL$

In $\triangle JKL$, $JK = KL$ (marked with equal ticks), so it's isosceles. $\angle K = 40^\circ$, so $\angle J=\angle L=(180^\circ - 40^\circ)/2 = 70^\circ$.

Step3: Check Similarity

$\triangle HIJ$ has angles $70^\circ, 70^\circ, 40^\circ$. $\triangle JKL$ has angles $40^\circ, 70^\circ, 70^\circ$. By AA (Angle - Angle) similarity criterion, the triangles are similar.

Answer:

$\triangle HIJ$ is similar to $\triangle JKL$.