What similarity property, if any, can be used to show that the following two triangles are similar ?

A. SSS
B. Not enough information
C. SAS

Please answer this

What similarity property if any can be used to show that the following two triangles are similar A SSS B Not enough information C SAS Please answer this class=

Respuesta :

Answer:

A) SSS

Step-by-step explanation:

We have,

[tex] \frac{AC}{DF}=\frac{10}{15}=\frac{2}{3}\\

\frac{AB}{DE}=\frac{12}{18}=\frac{2}{3}\\

\frac{BC}{EF}=\frac{8}{12}=\frac{2}{3}\\

\text{Thus,}\\

\frac{AC}{DF}=\frac{AB}{DE}=\frac{BC}{EF}\\

[/tex]

Since the sides are in proportion, the two triangles are similar by the SSS test.

For the given triangle the similar triangle property will be SSS. Hence the correct option is (A).

What is a similar triangle?

Similar triangles are triangles in which the angle will be the same and the sides are in the same proportions.

There are four rules to being two triangles similar

The first one is AAA in which if all three angles are the same then it will be a similar triangle.

The second one is SSS in which if all three sides are the same then it will be a similar triangle.

The third one is ASA in which if two angles and one side are the same then it will be a similar triangle.

Fourth one is SAS in which if two sides and one angle are the same then it will be a similar triangle.

For more information about similar triangle

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