Given BE=BD, AE=CD, prove that triangle ABC is isosceles

[happiness]

Ok, I wrote givens but I don't know what else to write.

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Problem #1

 

[Dr.Peterson]

Ok, I wrote givens but I don't know what else to write.

Can you show us the problem, and whatever you did write, and whatever thoughts you have about what you might use?

The more you say, the better we can help.

 

[HallsofIvy]

What "givens"? What problem are you talking about???

 

[yma16]

from the 1st given, you know that

Ok, I wrote givens but I don't know what else to write.

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Problem #1

triangle BED is isosceles. So, <BED=<BDE. This gives you that <BEA=<BDC. From the two givens and <BEA=<BDC, you can see that the first and the last small triangles are congruent (SAS).
This make the large triangle isosceles.

 

[Steven G]

triangle BED is isosceles. So, <BED=<BDE. This gives you that <BEA=<BDC. From the two givens and <BEA=<BDC, you can see that the first and the last small triangles are congruent (SAS).
This make the large triangle isosceles.

Let's let the student do/show a little more work in the future. Thanks.