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Can someone write the answer in complete sentences please?

In the figure below, ∠ABC ≅ ∠DEC and ∠GFE ≅ ∠DCE. Point C is the point of intersection between segment AG and segment BD , while point E is the point of intersection between segment AG and segment DF.

picture is at the bottom

Prove ΔABC ∼ ΔGEF. (10 points)

Can someone write the answer in complete sentences please In the figure below ABC DEC and GFE DCE Point C is the point of intersection between segment AG and se class=

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TheLegendaryJet

Answer:

Statements:                                                                    Reason:

ΔABC is congruent to ΔDEF                  :                                       Given

Angle ACB is congruent to angle ECG :                                Vertical angles

Angle CEG is congruent to angle DEF :                                 Vertical angles

Angle DEF is congruent to angle ABC  :                   Definition of congruent triangles

Angle CEG is congruent to angle ABC  :                    Substitution property of equality

 ΔABC is similar to Δ GEC                    :                                  AA Similarity

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