Question

If the triangles are similar, which must be true? StartFraction R Y Over Y S EndFraction = StartFraction R X Over X T EndFraction = StartFraction X Y Over T S EndFraction StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction X Y Over T S EndFraction StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction R S Over R Y EndFraction StartFraction R Y Over R X EndFraction = StartFraction R S Over R T EndFraction = StartFraction X Y Over T S EndFraction.

Answer 1

The correct relation between the triangles if the triangles are similar is, $\dfrac{RY}{RS} = \dfrac{RX}{RT} = \dfrac{XY}{TS}$.

Given that,

Consider $\rm \triangle RST$ and $\rm \triangle RYX$.

Triangle RST is shown.

Line XY is drawn parallel to side ST within triangle RST to form a triangle $\rm \triangle RYX$.

We have to determine,

If the triangles are similar, which must be true?

According to the question,

Consider $\rm \triangle RST$ and $\rm \triangle RYX$.

Triangle RST is shown.

The relationship between the triangles is line XY is drawn parallel to side ST within triangle RST to form $\rm \triangle RYX$.

The point X on side RT and point Y on side RS in $\rm \triangle RYX$.

Then,

The $\rm \triangle RST$ is similar to $\rm \triangle RYX$, the corresponding ratio of their sides are equal,

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

Hence, The correct relation between the triangles if the triangles are similar is, $\dfrac{RY}{RS} = \dfrac{RX}{RT} = \dfrac{XY}{TS}$.

For more details about Triangle refer to the link given below.

brainly.com/question/13858149

Answer 2

Answer:

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