Question

Consider △RST and △RYX.
If the triangles are similar, which must be true?

A. RY/YS=RX/XT=XY/TS
B.RY/RS=RX/RT=XY/TS
C.RY/RS=RX/RT=RS/RY
D.RY/RX=RS/RT=XY/TS

Answer 1

Answer:

option B

$\frac{RY}{RS}=\frac{RX}{RT}=\frac{XY}{TS}$

Step-by-step explanation:

we know that

If two triangles are similar

then

The ratio of their corresponding sides are equal and their corresponding angles also are equal

so

$\frac{RY}{RS}=\frac{RX}{RT}=\frac{XY}{TS}$

Answer 2

To solve the problem we must know about Similar triangles.

The correct option is B.

What are Similar Triangles?

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio.

Given to us

• ΔRST ~ ΔRYX

Similarity in ΔRST ~ ΔRYX

We know for similar triangles their sides are in ratio, therefore,

$\dfrac{RY}{RS} =\dfrac{RX}{RT}= \dfrac{XY}{TS}$

Hence, the correct option is B.

Learn more about Similar Tringles:

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