## Proof Resources Can I use proof where I assume the statement to be true and then arrive at a known fact.

Prove x/y + y/x ≥ 2. Now the book gives (x-y)2 ≥0 and from there derived the above, hence proving it. I understand that, because you start at a known fact and end up at the thing... Triangle Angle Bisector Proof

Given: Triangle ABD is an equilateral triangle and E is the midpoint of segment AD.   Prove: Segment EB bisects angle DBA.   Prove: Segment EB is perpendicular to Segment... Triangle Congruence Proof

Prove: Triangle ABF is congruent to Triangle EHG   Given: angle H = angle B and segments FG = EA, angles HEG and FAB are right angles, Prove by Induction question, 2+6+18+...+ 2.3^n-1 = (3^n)-1

Can anyone help me solving this problem, Im really really lost. Thank you Direct proof question, "The product of an even integer and an odd integer is even".

I didnt understand  Let say X = 2a +1 while y = 2b+1   Why you need to multiply xy rather x+y, as you can see below: XY = (2a+1)(2y+1) <- correct X+Y... Given HD=JD and HC=JB prove HB=JC Let a and b be positive rational numbers. Prove that if √a+√b is rational, so is √a

I do  know how to solve this problem. Can you show the steps in solving it. What do i substitute for a and b How do I prove that ax+by+cx=dx+ey?

x,y,z ∈ ℝ3   and  x+y+3z=0   How do I prove ax+by+cz=dx+ey, if d and e are real numbers chosen to fit the equation? Thank you very much if... Quadrilateral ARMY with A(p,q) R(0,0) M(r,0) and Y(p+r, q). Prove: ARMY is a parallelogram

It can't be in a graph and has to be in the statement-reason format. I'll need the equations used as well