Triangles GBC and EBP are similar by AA

Reason:

Angle C of triangle GBC and angle EPB of triangle EBP are equal because they both are supplementary to the same angle, angle P.

Angle GBC of triangle GBC and angle EBP are equal because they are vertical angles..

BC and BP are corresponding sides in ratio of 300/200 = 3/2

GB = 400 and EB are corresponding sides in ratio 3/2

400 = 3

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BE 2

solve for EB

GC = 350 and EP are corresponding sides

350 = 3

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EP 2

solve for EP

Emily C.

I think I messed it up03/03/21

Emily C.

I put this... what do you think....Triangles GBC and BEP are similar. Triangles GBC and BEP are similar because G and E cross each other on line CP. B is the intersection point making it known as the "midpoint". Looking at the similar figure I would say that PE would be rounded to 250 to stay similar with GBC. Line BC and Line BP become the ratio 2/3 it is 233. 233.3 would be the exact amount, but I would say it's 250 to stay in similarity with GBC. Be is 200 because it is the same length as BP, when multiplied by the ratio 2/3.03/03/21