Question

The vertices of a quadrilateral ABCD are A(1,1), B(1,5), C(5,5), and D(7,1).

Part a) A trapezoid is a four-sided figure with exactly one pair of parallel sides. Is ABCD a trapezoid? Explain your answer.

Part b) You want to transform ABCD into a parallelogram by only moving point B. A parallelogram is a four-sided figure with both pairs of opposite sides parallel. What should be the new coordinates of point B? Explain your answer.

Answer 1

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 5-1= 4. So, to increase the length to 6, staying on the line y=5, we move B to (-1, 5).

Answer 2

A. Yes ABCD is a trapezoid ONE way i remember this is trapezoids aerialist always the shape of some square/rectangle w/a triangle


B. You can always do tis on graph paper. So we will be moving point B from (1,5) to............... (-1,5)

Hope this helps!!!