Question : In $\Delta ABC$, two points $D$ and $E$ are taken on the lines $AB$ and $BC,$ respectively in such a way that $AC$ is parallel to $DE$. Then $\Delta ABC$ and $\Delta DBE$ are:
Option 1: Similar only if $D$ lies outside the line segment $AB$.
Option 2: Congruent only if $D$ lies outside the line segment $AB$.
Option 3: Always similar.
Option 4: Always congruent.
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: Always similar.
Solution :
We have, $D$ and $E$ are the points on $AB$ and $BC$. Such that $AC$ is parallel to $DE$.
In $\Delta ABC$ and $\Delta DBE$,
$\angle A=\angle D$ (Corresponding angle)
$\angle C=\angle E$ (Corresponding angle)
$\therefore \Delta ABC\sim\Delta DBE$ (by AA similarity)
Hence, the correct answer is Always similar.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
