Question

Write an informal proof to show triangles ABC and DEF are similar. Please don’t answer if you don’t know!!

Answer 1

ΔABC ~ ΔDEF

Explanation:

If the given triangles ΔABC and ΔDEF are similar,

Their corresponding sides will be proportional.

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

By substituting the measures of the given sides,

`(4)/(2)=(6)/(3)=(2)/(1)`

2 = 2 = 2

Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.

ΔABC ~ ΔDEF