Someone literally help me! I’m stressed! I try to do the diagram as close a possible

Question

Given: AB≅BC,AG≅CE, AC⊥DE and .AC⊥FG.

Prove: AD≅CF

All given are used in step 1

B

D F

A E G C

Answer 1

because AB = BC, it is an isosceles triangle

angle A = angle C because base angles of the isosceles

triangle are congruent....

AG = CE is given...

AG = AE + EG and CE = EG +GC

EA +EG = EG + GC

EA = GC

finally, given the perpendiculars,

angle DEA = angle FGC = 90

so triangle DAE is congruent to angle FGC

by ASA and Leg-angle

AD = CF and the proof follows by CPCTC

Watch the language young lady!!!!

Answer 2

Are the lines supposed to be missing, just the points?

Robert Clark

Follow up.

Odd. The system only allows you to give one answer, so I had to edit this to respond again.

I want to test if providing link to an image will allow the image to appear in the post:

https://www.widener.edu/sites/default/files/styles/width_400/public/2019-06/widener-homepage-hero-2400x1500-NEW3.jpg

Robert Clark

No, that didn’t work.

How about this:

<img>https://www.widener.edu/sites/default/files/styles/width_400/public/2019-06/widener-homepage-hero-2400x1500-NEW3.jpg</img>