Question

in the drawing below, ABC is similar to DEF. which choice shows the corresponding sides as eqaul ratios​

Answer 1

Explanation:

with right-angled triangles it is easy, as we can start with the right angle as fixed corresponding element.

A corresponds to D

B corresponds to E (the right angles)

C corresponds to F

so,

AB corresponds to DE.

AC corresponds to DF.

BC corresponds to EF.

the only answer option that has all 3 correct is the last one :

AB/DE = BC/EF = AC/DF

Answer 2

The correct answer is the last option:
`(AB)/(DE) = (BC)/(EF) = (AC)/(DF)`

Here's how to determine the corresponding sides with equal ratios:

Identify corresponding sides:

Corresponding sides are sides that are in the same relative position in each triangle. For example, side AB in triangle ABC corresponds to side DE in triangle DEF.

Write ratios of corresponding sides:

Form ratios by dividing the lengths of corresponding sides in triangle ABC by the lengths of corresponding sides in triangle DEF.

This implies:

`(AB)/(DE) = (BC)/(EF) = (AC)/(DF)`

The order of the sides in the ratio matters. For example, AB/DE is not the same as DE/AB.

Question: