In the figure below, ΔABC ≅ ΔDEF. Point C is the point of intersection between segment AG and segment BF, while point E is the point of intersection between segment DG and segment BF.
Prove ΔABC ~ ΔGEC.

Question

In the figure below, ΔABC ≅ ΔDEF. Point C is the point of intersection between segment AG and segment BF, while point E is the point of intersection between segment DG and segment BF.
Prove ΔABC ~ ΔGEC.

anonymous · Answer

attachment

s2rian · Answer

angle ACB = angle ECG
angle DEF = angle GEC

s2rian · Answer

ABC and DEF 
These two triangles are congruent.

s2rian · Answer

so you can know angle ABC = angle GEC
and those makes ABC and GEC is similar