lunaaliamzoy
Answered

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.

Verified Answer :

musiclover102
AYes 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!!!
aliyahp6915nicole

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).

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