SOLUTION: 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 seg

Question 1206184: 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.
https://api.agilixbuzz.com/Resz/~0.Bv8W_aJ6tRosNuyK.A.WQX-LKs4_7CtNbGXeaKp1TM-Q57bSJTC4440BKyZad8/196638831,F41,1,15,0,30,0,3/Assets/94559_55a90aae/05_08_1b.gif
The figure shows a polygon comprised of three triangles, ABC, CEG, and DFE.
Prove ΔABC ∼ ΔGEC.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

given: Δ ≅ Δ
Prove Δ ∼ Δ
we need to show that the corresponding angles of these triangles are congruent
statement...................................reason
Δ ≅ Δ........................given (all their corresponding angles are congruent)
< ≅ <........................point is the intersection of lines and , and ||, Alternate Interior Angles Theorem
< ≅ < ......................point is the intersection of lines and , and || , Alternate Interior Angles Theorem
Δ ∼ Δ.....................by the angle-angle () theorem

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