Posted by Jane on Friday, December 30, 2011 at 3:49pm.
The vertices of quadrilateral ABCD are (A(1,1), B(1,5), C(5,5) and D(7,1). You want to transform ABCD into a parallelogram by only moving point B. A parallelogram is a foursided figure with both pairs of opposite sides parallel. What should be the new xcoordinate of point B?

math  Steve, Friday, December 30, 2011 at 4:31pm
As it stands now, A and D are on the same horizontal line, and B and C are on the same horizontal line.
However, we want to move only point B. So, if we keep BC parallel to AD, then we want to have BC the same length as AD, which is 6.
Right now, the length of BC is 51 = 4. So, to increase the length to 6, staying on the line y=5, we move B to (1,5).
Now we have two parallel sides, AD and BC of length 6. Note also that now AB and CD are parallel and the same length, so we have a parallelogram.
Answer This Question
Related Questions
 algbra  a parallelogram is a quadrilateral whose opposite sides are parallel. ...
 geometry  A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). ...
 math  A parallelogram is a convex quadrilateral with four vertices and two sets...
 geometry  Can you prove ABCD is a parallelogram based on the given information...
 Geometry  Given: ABCD is a parallelogram; <1 is congruent to <2 To Prove...
 Geometry  quadrilateral A B C D on a graph. Point A is at ( 5, 1), Point B is...
 Geometry  I need the statements and reasons for this: ABCD is a parallelogram ...
 geometry  Given: QRST is a parallelogram. Prove: QRST is a square. Complete ...
 Geometry  The coordinates of the vertices of quadrilateral ABCD are A (8, 8), ...
 geometry  Quadrilateral QRST has two pairs of congruent sides, but it is not a ...
More Related Questions