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Which theorem or postulate proves that △ABC and △DEF are similar?



Select from the drop-down menu to correctly complete the statement.
The two triangles are similar by the ________.

A. AA Similarity Postulate

B. SSS Similarity Theorem

C. SAS Similarity Theorem

Which theorem or postulate proves that ABC and DEF are similar Select from the dropdown menu to correctly complete the statement The two triangles are similar b class=

Respuesta :

Answer:

△ABC and △DEF are similar by SAS Similarity Theorem.

Option (C) is correct .

Step-by-step explanation:

Definition of SAS Similarity property

Two triangles are said to be similar by SAS Similarity property If two sides are proportional and one corresponding angle congruent .

In △ABC and △DEF

[tex]\frac{ED}{AB}= \frac{7}{21}[/tex]

[tex]\frac{ED}{AB}= \frac{1}{3}[/tex]

and

[tex]\frac{EF}{BC}= \frac{11}{33}[/tex]

[tex]\frac{EF}{BC}= \frac{1}{3}[/tex]

Thus

[tex]\frac{ED}{AB}=\frac{EF}{BC}= \frac{1}{3}[/tex]

∠ABC = ∠DEF  (As given in the figure )

Thus △ABC and △DEF are similar by SAS Similarity property .

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