If in -ZXY and -FED- XY-EF - YZ-FD - XZ-ED- then which of the following option is true-ZXY - -EFD-XYZ -EFD-XYZ - -DEF-ZXY - -EDF

The correct option is B △XYZ △EFDGiven that, in triangles ZXY and FED, XY/EF = YZ/FD = XZ/ED All the sides are proportional, so the triangles are similar. Δ X ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VI

Mathematics

Same Ratio in Different Situations

If in △ZXY an...

Question

If in △ZXY and △FED, XY/EF = YZ/FD = XZ/ED, then which of the following option is true?

△XYZ ~ △DEF

No worries! We‘ve got your back. Try BYJU‘S free classes today!

△ZXY ~ △EFD

No worries! We‘ve got your back. Try BYJU‘S free classes today!

△XYZ ~△EFD

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

△ZXY ~ △EDF

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C △XYZ ~△EFD
Given that, in triangles ZXY and FED, $\frac{X Y}{E F} = \frac{Y Z}{F D} = \frac{X Z}{E D}$
All the sides are proportional, so the triangles are similar.
$Δ X Y Z \sim Δ E F D$

Suggest Corrections

Similar questions

Q. If in △ZXY and △FED, XY/EF = YZ/FD = XZ/ED, then which of the following option is true?

In $△ A B C$ and $△ X Y Z$ , if BC = YZ, $∠ A B C = ∠ X Y Z$ and $∠ A C B = ∠ X Z Y,$ , then by which postulate is $△ A B C ≅ △ Z X Y$ ?

A triangle $X Y Z$ can be constructed when $X Y = 6 c m$ $m ∠ Z X Y = 40^{o}$ and $m ∠ X Y Z = 100^{o}$ by using _____________ criterion.

$If in △ C A B and △ F E D,$

$\frac{A B}{E F} = \frac{B C}{F D} = \frac{A C}{E D}$ ,

$then which of the following is true?$

Join BYJU'S Learning Program

If in △ZXY and △FED, XY/EF = YZ/FD = XZ/ED, then which of the following option is true?

The correct option is C △XYZ ~△EFDGiven that, in triangles ZXY and FED, XYEF=YZFD=XZED All the sides are proportional, so the triangles are similar. ΔXYZ∼ΔEFD

The correct option is C △XYZ ~△EFD
Given that, in triangles ZXY and FED, $\frac{X Y}{E F} = \frac{Y Z}{F D} = \frac{X Z}{E D}$
All the sides are proportional, so the triangles are similar.
$Δ X Y Z \sim Δ E F D$