Given: HI=9, IJ = 9, IJ = JH Prove: HI = JH

Question

Given: HI = 9, IJ = 9, IJ = JH 

Prove HI = JH

Answer 1

From the first and second statements given to us we know that HI = 9 and IJ = 9.

Therefore, we know HI=IJ.

 

From the third statement we see that IJ = JH.

Combining this with what we deduced from the first two statements we now know that

HI =IJ = JH.

 

Simplify this to HI = JH and we have proven that HI = JH by the transitive property of equality.

 

The transitive property of equality states that if a = b and b = c, then a = c.