If in ZXY and FED - XY - EF - YZ - FD - XZ - ED- then which of the following option is true-A- XYZ - DEFB- ZXY - EDFC- XYZ - EFDD- Z X Y - E F D

The correct option is C △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 ...

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Standard X

Mathematics

Similarity of Triangles

If in ZXY and...

Question

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

△XYZ ~ △DEF

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△ZXY ~ △EFD

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△XYZ ~△EFD

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△ZXY ~ △EDF

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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.
$Δ X Y Z \sim Δ E F D$

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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.
$Δ X Y Z \sim Δ E F D$