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Look at the figure below:

Triangle EFD has the measure of angle EFD equal to 60 degrees. G is a point on side DF. Points E and G are joined by a straight line. Angle DEG measures 60 degrees.

Make a two-column proof showing statements and reasons to prove that triangle DEF is similar to triangle DGE.

Look at the figure below Triangle EFD has the measure of angle EFD equal to 60 degrees G is a point on side DF Points E and G are joined by a straight line Angl class=

Respuesta :

mreijepatmat
Let's compare the Angles in both triangle DEF & DEG

Triangle DEF     Triangle DEG
--------------          ------------------
Angle EDF           =     Angle EDF
Angle EFG           =     Angle DEG = 60° (given)
Hence Angle DEF =    Angle EGD (the sum of all angles in a triangle =180°
Proof : Angle(EDF+EFG+DEF = EDF+DEG+EGD = 180°

ANGLE(EDF+60°+EGD) = ANGLE(ED+60°+EGD)
@ TRIANGLES ARE SIMILAR IF THEY ARE THEIR ANGLES RESPECTIVELY EQUAL

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