Write proofs in two-column form. (One side is the Statements and the other is the Reasons why.)

1a) The diagram shows three squares and an equilateral triangle.
Prove: AE=FC=ND

Diagram: http://imageshack.us/f/18/45vf.jpg/

1b) Use the results in problem 1a to prove that Triangle FAN is equilateral.

Please explain to me in details..I'm going to have a test soon, and I do not understand this! All help are greatly appreciated! Thanks!

Question

Write proofs in two-column form. (One side is the Statements and the other is the Reasons why.)

1a) The diagram shows three squares and an equilateral triangle.
Prove: AE=FC=ND

Diagram: http://imageshack.us/f/18/45vf.jpg/

1b) Use the results in problem 1a to prove that Triangle FAN is equilateral.

Please explain to me in details..I'm going to have a test soon, and I do not understand this! All help are greatly appreciated! Thanks!

directrix · Answer

@xtensai

For 1a, I think you can get Triangles FEC, ADE, and NCD congruent by the SAS postulate.
Then, you can harvest sides AE, FC, and ND to be congruent by the CPCTC or Corresponding Parts of Congruent Triangles are Congruent.