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△DEF is similar to △RST . Drag the answer into the box to match each part of △DEF with the corresponding part of △RST

Respuesta :

If the two triangles are similar, then the following match:
measure D = measure R
measure E = measure S
measure F = measure T
Side DE proportional to side RS
Side EF proportional to side ST
Side DF proportional to side RT

Solution:

As we know when two triangles are similar , their corresponding sides are proportional and Interior angles of two triangles are congruent.

So when, △DEF ~ △RST, There are following possibilities when they are similar

Corresponding interior angles of two triangles △DEF and △RST

1. ∠D=∠R

2. ∠E=∠S

3.∠F=∠T

Corresponding sides of △DEF and △RST

4. [tex]\frac{DE}{RS}=\frac{EF}{ST}=\frac{DF}{RT}[/tex]

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