S skinski43 New member Joined Jul 5, 2009 Messages 21 Sep 15, 2009 #1 I need help on these 2 proofs. 1. Prove that if all sides and angles of a triangle are congruent, then the triangle is equilateral. 2. Prove that if 2 sides and angles of a triangle are congruent then the triangle is isosceles.
I need help on these 2 proofs. 1. Prove that if all sides and angles of a triangle are congruent, then the triangle is equilateral. 2. Prove that if 2 sides and angles of a triangle are congruent then the triangle is isosceles.
M Mrspi Senior Member Joined Dec 17, 2005 Messages 2,116 Sep 15, 2009 #2 skinski43 said: I need help on these 2 proofs. 1. Prove that if all sides and angles of a triangle are congruent, then the triangle is equilateral. 2. Prove that if 2 sides and angles of a triangle are congruent then the triangle is isosceles. Click to expand... The proof of (1) follows DIRECTLY from the definition of an equilateral triangle. I suggest you study that definition. The proof of (2) follows DIRECTLY from the definition of an isosceles triangle. Study that definition, too.
skinski43 said: I need help on these 2 proofs. 1. Prove that if all sides and angles of a triangle are congruent, then the triangle is equilateral. 2. Prove that if 2 sides and angles of a triangle are congruent then the triangle is isosceles. Click to expand... The proof of (1) follows DIRECTLY from the definition of an equilateral triangle. I suggest you study that definition. The proof of (2) follows DIRECTLY from the definition of an isosceles triangle. Study that definition, too.