SOLUTION: The figure looks like a bow tie, CH is on the left side, R in the middle and IS on the right. *from top to bottom.* Given R is the midpoint of CS and IH Prove IS is congruent t

Algebra ->  Geometry-proofs -> SOLUTION: The figure looks like a bow tie, CH is on the left side, R in the middle and IS on the right. *from top to bottom.* Given R is the midpoint of CS and IH Prove IS is congruent t      Log On


   

Question 598913: The figure looks like a bow tie, CH is on the left side, R in the middle and IS on the right. *from top to bottom.*
Given R is the midpoint of CS and IH
Prove IS is congruent to CH
I need statements and reasons
Answer by solver91311(24713) About Me  (Show Source):
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The measure of CR equals the measure of RS by definition of midpoint.

CR congruent to RS by definintion of congruent

Likewise HR congruent to RI

Measure of angle CRH equals measure of angle IRS because they are vertical angles

Angle CRH congruent angle IRS by definition of congruent

Triangle CRH congruent triangle IRS by SAS

CH congruent to IS by CPCT

Q.E.D.

John

My calculator said it, I believe it, that settles it
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