SOLUTION: Please help me solve the following proof: The directions are: Draw and label a diagram. List, in terms of the diagram, what is given and what is to be proved. Then write a proo

Question 68261This question is from textbook Geometry
: Please help me solve the following proof:
The directions are:
Draw and label a diagram. List, in terms of the diagram, what is given and what is to be proved. Then write a proof.
The problem states:
If the vertex angle of one isosceles triangle is congruent to the vertex angle of another isosceles triangle, then the triangles are similar.
I made two triangles, triangle ABC and triangle DEF
I think the given is supposed to be: angle A is congruent to angle D
I think we need to prove: triangle ABC is similar to triangle DEF
What are the steps to the rest of this proof? This question is from textbook Geometry

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If the vertex angle of one isosceles triangle is congruent to the vertex angle of another isosceles triangle, then the triangles are similar.
I made two triangles, triangle ABC and triangle DEF
I think the given is supposed to be: angle A is congruent to angle D
AB=AC------------Definition of isosceles triangle
DE=DF------------Definition of isosceles triangle
AB/DE = AC/DF----Equals divided by Equals are Equal
ABC is similar to DEF---- SAS (sides are proportional and the included angles are congruent)
Cheers,
Stan H.
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