Question

How can I prove these two triangles similar using a similarity postulate?

Answer 1

@TheSmartOne

Answer 2

@TheSmartOne ?

Answer 3

since we have two pairs of parallel sides, we know that the angles must be conguent

and if the angles are congruent, then the sides opposite them can be in a ratio

Answer 4

AB || DF
AC || FE

that's how you show that their parallel mhmm

Answer 5

because the sides are shown to be equal

Answer 6

Okay, but if the sides are parallel, wouldn't it only show that the included angle is congruent, or does it show more than that?

Answer 7

@TheSmartOne

Answer 8

since AB and DF are parallel that means angle ABD and angle FDC are congruent

likewise AC abd FE are conguent, that means angle FED and ACD are congruent

Answer 9

Oh I think I get it now, so this would prove similar through AA similarity postulate, right?

Answer 10

yes :)

Answer 11

Thanks!