1. Given: ABCD is a kite.
Put a checkmark in every box that must be
true. You will put more than one checkmark.

Has two pairs of parallel sides
Has exactly one pair of parallel sides
All four sides are congruent
Has exactly one pair of congruent sides
Both pairs of opposite sides are congruent
Two pairs of consecutive sides
(but not all four sides) are congruent
There are right angles at all four vertices
The diagonals are perpendicular
The diagonals are congruent
The diagonals bisect each other
Use calculations and words to show
this quadrilateral meets the
definition of a kite.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

this answer is !