SOLUTION: Can someone please help. Here is the problem: ab is congruent to ae (given) bc is congruent to de (given Prove angle 1 is congruent to angle 2 It won't let me put a pictu

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Question 799756: Can someone please help. Here is the problem:
ab is congruent to ae (given)
bc is congruent to de (given
Prove angle 1 is congruent to angle 2
It won't let me put a picture of the triangle on here for some reason, so will draw it the best I can

                                        A






                                   1        2


                       B           C        D             E

I know this isn't a great way to show the triangle, but angle 1 is with C and angle 2 is with D. Please help!

Angle A is at the top and the triangle is separated into 3 triangles with a line at C and a line at D



Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


AB congruent AE : Given

Triangle BAE is isosceles : Defn Isosceles

Angle ABE congruent Angle AEB : Angles opposite equal sides in an isosceles triangle are equal -- Euclid, Book 1, Proposition 5

BC congruent DE : Given

Triangle ABC congruent Triangle AED : SAS

Angle 1 (that is Angle ACB) congruent Angle 2 (Angle ADE) : CPCT

Q.E.D.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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