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

Question

asked Dec 26, 2019 176k views

2 Answers

NicoJuicy · Answer 1 · 2020-01-01T23:39:34+0000

Answer: The correct option is fourth, i.e.,
(ST)/(YX) .

Step-by-step explanation:

It is given that,

$\triangle RST \sim \triangle RYX$

By the rule of of congruence SSS.

Since both triangles are congruent, it means the ratio of their corresponding sides are equal.

The sides of first triangle are RS, ST, RT and their corresponding sides are RY, YX and RX respectively.

So,

(RS)/(RY) =(ST)/(YX) =(RT)/(RX) =k

Where, k is any constant.

Since it is given that,

(RS)/(RY)=(RT)/(RX)

and we know that
(ST)/(YX) is also equal to these ratios, therefore, the fourth option is correct.