SOLUTION: Here is my Paragraph proof.I need to turn it it into a two-column proof.Can any one help me? If CD is an altitude to AB, then CD must be perpendicular to AB because of the defin

Algebra ->  Geometry-proofs -> SOLUTION: Here is my Paragraph proof.I need to turn it it into a two-column proof.Can any one help me? If CD is an altitude to AB, then CD must be perpendicular to AB because of the defin      Log On


   



Question 351315: Here is my Paragraph proof.I need to turn it it into a two-column proof.Can any one help me?
If CD is an altitude to AB, then CD must be perpendicular to AB because of the definition of an altitude. Since a ray perpendicular to a segment creates two right angles, angles ADC and BDC must both be right angles and therefore are equal in measure. Angles CAD and CBD must be equal in measure because the triangle is isosceles and AB is the base. Segment CD is equal in measure to segment CD since things are always equal to themselves. Hence triangle CAD is congruent to triangle CBD by AAS. Hence angle ACD is equal in measure to angle BCD by CPCT. Therefore segment CD bisects angle C by definition of an angle bisector.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

Just take each sentence in your paragraph proof and divide it into two parts, a statement part and a reason part. You will know the reason part because there is a word like "because" or "since" or "by" that tells you that what follows is a reason for the statement.

List all of your statements in the first column and the reasons for each in the second column.


John

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