SOLUTION: Hi!
17. Complete the two-column proof.
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Could someone help me, please?
Thank you!
Algebra.Com
Question 1104722: Hi!
17. Complete the two-column proof.
Image URL: http://prntscr.com/hn6rsk
Could someone help me, please?
Thank you!
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
my diagram from your picture is shown below:
step 1 is as shown in my diagram.
step 2 is as shown in my diagram.
step 3 reason is shown as A.
step 4 reason is shown as B.
A. corresponding sides of congruent triangle are congruent.
B. If a quadrilateral has one set of opposite sides which are both congruent and parallel, then it is a parallelogram.
statement B pertains to SV and TU in the diagram.
here's a reference on theorems dealing with parallelograms you might find useful.
https://mathbitsnotebook.com/Geometry/Quadrilaterals/QDParallelograms.html
look to the bottom of the above reference to see the theorem used in proving your problem.
the proof of theorem mention in B is referenced below.
https://mathbitsnotebook.com/Geometry/Quadrilaterals/QDThPf10.html
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