△rst ~ △ryx by the sss similarity theorem. which ratio is also equal to and ?


Asked by maham237 @ in Mathematics viewed by 402 People


△RST ~ △RYX by the SSS similarity theorem. Which ratio is also equal to RT/RX and RS/RY ?
A.XY/TS
B.SY/RY
C.RX/XT
D.ST/YX

Answered by maham237 @



Since, it is given that \Delta RST \sim \Delta RYX by SSS similarity theorem.

We have to identify the ratio which is equal to \frac{RT}{RX} and \frac{RS}{RY}.

When the triangles are similar, then the ratio of the corresponding sides are always equal and the congruent angles are also equal.

Since, \Delta RST \sim \Delta RYX

So, \frac{RT}{RX} = \frac{RS}{RY} = \frac{ST}{YX}

So, the given ratios are equal to the ratio \frac{ST}{YX}.

So, Option D is the correct answer.


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