Please help me with this Geometry?

2017-06-04 8:08 am
更新1:

A quadrilateral has vertices A(11, -7), B(9, -4), C(11, -1), and D(13, -4). Quadrilateral ABCD is a ______ -parallelogram with non-perpendicular and non congruent adjacent sides -trapezoid with exactly one pair of parallel sides -rectangle with non congruent adjacent side -rhombus with perpendicular

更新2:

If the vertex C(11, -1) were shifted to the point C′(11, 1), quadrilateral ABC′D would be a _______ -paralellogram with non-perpendicular adjacent sides -kite -square -rhombus with non perpendicular adjacent sides

回答 (2)

2017-06-04 8:23 am
update 1 --- use the slope formula, find slopes of the 4 sides, if slopes of nonadjacent sides are the same then those sides are parallel .. if slopes of adjacent sides are opposite reciprocals then those sides are perpendicular.
=== then if necessary, use the distance formula for all 4 sides and find the length of each. all 4 sides equal is a rhombus, opposite sides equal is either a parallelogram or a rectangle, depending on if sides are perpendicular. ... same for problem 2
2017-06-04 8:21 am
m(AB) = - 3 / 2= m(CD) ===> 1st ; ...and 4th


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