Write a two column proof for one of following. Remember, the left hand column is statements and the right hand column is reasons. Make sure the steps are in a logical order. Before you start, make sure you draw and label a diagram and try to "prove" it before you write your proof. Start with the givens, put any postulates, definitions, etc.. that might apply, have the "prove" as a goal. Remember, this is a learning experience! Take your time and do the best you can.
Last name starts with A-L? Do this one!
Given= C is on segment on DE, DC=x, CE=3X, and DE=16.
Prove:x=4.
Challenge: What additional statements/reasons would you add on to prove 12=CE?
Last name starts with M-Z? Do this one!
Given B is in the interior of <CAR, m<CAB=x, m<BAR=6x, and m<CAR=91.
Prove: x=13.
Challenge: What additional statements/reasons would you add on to prove that 78=m<BAR?
<CAR, m<CAB=x, m<BAR=6x, and <CAR=91 Given
ReplyDelete<CAB+<BAR=<CAR A.A.P
x+6x=91 Substitution
7x/7=91/7 Addition
x=13 Division
<BAR=6x Given
6(13) Substitution
78 Multiplication
C is on segment
ReplyDeleteDE, DC=x, CE=3x,
and DE=16 Given
DC+CE=DE Segment Addiction Postulate
(x)+(3x)=(16) Substitution Property
4x=16 Addition
x=4 Division Property
CE=3(4) Substitution Property
CE=12 Multiplication