Given that angle A is congruent to angle D and angle D is congruent to angle E, write a paragraph proof to show that angle A is congruent to angle E

Question

Write a paragraph proof

Answer 1

Hi Daniel,

 

Writing a paragraph proof is similar to writing a column proof in that we start with our given information and follow a logical path to our conclusion.  Only the form of the presentation is different - paragraph versus columns for our statements and reasons.

 

Here then is our paragraph proof.

 

We are given that angle A is congruent to angle D and that angle D is congruent to angle E.   Therefore, angle A is congruent to angle E by the Transitive Property,  which states that if two things are congruent to the same third thing then the two things are congruent to each other.

 

Thanks for submitting this question and glad to help.

 

God bless, Jordan.

Answer 2

Things equal to the same thing are equal to each other, or equality is transitive.  Which, for angles says that if

angle A is congruent to angle D and angle D is congruent to angle E then angle A is congruent to angle E. 

This is more about the nature of equality than that of geometry.