Answer:
13) Rectangle
14) parallelogram
15) co ordinates areD (0,a) andE (c,b)
16) co ordinates are D(0,b) and E(a,0)
17)(-1,1) (4,1) (-1,4)
18)(0,0) (a,0) (a,a) (0,a)
Step-by-step explanation:
<h3>13)</h3><h3>Rectangle</h3>
The opposite sides of a rectangle are parallel and equal
left height = right height
(by using distance formula)
(0,3),(2,-2) = (5,5),(7,0)
√(2-0)²+(-2-3)² = √(7-5)²+(0-5)²
√(2)²+(-5)² = √(2)²+(-5)²
√4+25 = √(2)²+(-5)²
√29 = √29 hence equal
<h3>14)</h3><h3>parallelogram</h3>
The opposite sides of a rectangle are not equal
left height = right height
(by using distance formula)
(0,0),(3,-4) = (3,4),(7,0)
√(3-0)²+(-4-0)² = √(7-3)²+(0-4)²
√(3)²+(-4)² = √(5)²+(-4)²
√9+16 = √(25)+(16)
√(25) ≠√41
5 ≠ √41
<h3>15)</h3><h3>co ordinates are D(0,a) and E(c,b)</h3><h3>16)</h3><h3>co ordinates are D(0,b) and E(a,0) </h3>
since rhombus have equal opposite sides
<h3>17)</h3><h3>(-1,1) (4,1) (-1,4)</h3><h3>18)</h3><h3>(0,0) (a,0) (a,a) (0,a)</h3><h3 />
and plug in r=4 and h=13 to get 
, so 
.