Question

Determine whether or not the given pair of triangles is similar and state how you know.

Is ΔGHI ~ ΔJKI?
Mark all that apply.

Answer 1

by SAS.

Yes

Explanation:

∠HIG and ∠JIK are vertical angles, so:

m∠HIG = m∠JIK

`(GI)/(IJ)=\frac{7.5}3=2.5\\\\(HI)/(IK)=\frac{2.5}1=2.5`

`\left\{(GI)/(IJ)=(HI)/(IK)\quad\ \wedge\quad m\angle HIG=m\angle JIK\right\}\implies \triangle HIG\sim\triangle JIK\ \ by\ SAS`