Answer:
1.bd=~ed given
2.CD=~fd given
3.<bdc=<edf
4.triangle BCD=~triangle def by s.s.a.axiom
5.BC=~ef the corresponding side of congruent triangle are equal
Explanation:
in triangle qrs &rst
- rs=~rs common side
- qr=~st midpoint bisect that side
- <qsr=<rst midpoint bisect that angle
4.traingle qrs =~rst by s.s.a.axiom
5.<rqs=<rts since the corresponding angle of congruent triangle are equal
Answer:
(4, 3)
Explanation:
<u>Short answer</u>: when the coordinates are on horizontal and vertical lines, as these are, each coordinate value is used twice. Already, x=0 is used twice, as is y=0, so the missing coordinate is x=4, y=3.
The fourth vertex is (4, 3).
_____
<u>Longer answer</u>: The midpoints of the diagonals are the same point, so for rectangle ABCD, we have ...
(A+C)/2 = (B+D)/2
Solving for D, we find ...
D = A +C -B
In clockwise order, the points given are ...
A = (4, 0), B = (0, 0), C = (0, 3)
so we have ...
D = (4, 0) +(0, 3) -(0, 0) = (4+0-0, 0+3-0)
D = (4, 3) . . . . the coordinates of the fourth vertex.
