Position of The figure
-Position the figure to simplify the proof
Find the missing coordinate
-Opposite sides of a parallelogram are parallel & congruent, therefore the y coordinate od D must be C.
-The length of AB is a, and the length of DC is a, so rhe x coordinate of D must be (a+b)-a or b
-Thus the coordinate of D are (b,c)
If you are working with a parallelogram and you say each side top and bottom is a units long its easy for you to find this point, i'd say that it is C units long if the lower corner is a it mus be (a,0) because you didn't move around the distance. The parrallelogram is C units tall and you wanna find the top corner coordinate ( , ) so lower left hand corner is b so the coordinate corner of the dotted line is (b,c) so top corn is now ( ,c) how far did you move to get from there to there? b units so it is now (b,c) so the entire distance is (a+b,0) the one above is (a+b,c)
Coordinate Proof
Given a square ABCD with midpoints MNPQ
Proove MNPQ is a square.
How do we proove this?
4 congruent sides
4 congruent angles
prove its a rhombus
prove its a rectangle
then if it has this it is a square.
Prove that the diagnols are congruent.
Prove the diagnols are perpendicular.
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