Question

Is there a similarity transformation that maps Triangle ABC to Triangle DEF? If so, identify the similarity transformation and write a similarity statement. Explain your answer.

Answer 1

Yes, there is a similarity transformation that maps triangle ABC to Triangle DEF.

Explanation:

Similarity transformation;

Triangle DEF has been transformed(dilated) by a factor of 2.

Since each dimension is twice that of the triangle ABC.

Two triangles are similar if their corresponding sides are congruent and corresponding angles are congruent.

Similarity statement:

ΔABC
`\sim` ΔDEF

these two triangles are similar because;

`(AB)/(DE)= (4)/(8) = (1)/(2)`

`(AC)/(DF)= (4)/(8) = (1)/(2)`

`(BC)/(EF)= (3)/(6) = (1)/(2)`

⇒
`(AB)/(DE)=(AC)/(DF) =(BC)/(EF)`