which rule explains why these triangles are similar?ssssasaanone of the above; the triangles cannot be…
which rule explains why these triangles are similar?ssssasaanone of the above; the triangles cannot be proven similar
Answer
Explanation:
Step1: Find missing angle in $\triangle JKI$
Sum of angles in a triangle is $180^\circ$. $\angle I = 180^\circ - 82^\circ - 57^\circ = 41^\circ$
Step2: Find missing angle in $\triangle QRS$
Sum of angles in a triangle is $180^\circ$. $\angle S = 180^\circ - 57^\circ - 91^\circ = 32^\circ$
Step3: Compare all corresponding angles
$\triangle JKI$ angles: $82^\circ, 57^\circ, 41^\circ$ $\triangle QRS$ angles: $91^\circ, 57^\circ, 32^\circ$ Only one pair of angles is equal.
Answer:
none of the above; the triangles cannot be proven similar