2) The vertices of a quadrilateral are points A(-4,3) B(0,0) C(4,0) D(0,3).Find the lengths of its sides & point out which type of a quadrilateral is it?
3) Check whether the following points are vertices of an isosceles triangle or not
(3,-1) (5,-1) & (3,-3)
ANSWER THESE PLS
Answers
Answer:
ANSWER
For a rectangle, the opposite sides need to be equal and diagonals also have to be equal.
Now by using
Distance Formula =
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
Here coordinates of A are x
1
and y
1
and coordinates of B are x
2
and y
2
Similarly for other coordinates also.
Length AB=
(−2+4)
2
+(−4+1)
2
=
13
Length BC=
(4+2)
2
+(0+4)
2
=
52
Length CD=
(2−4)
2
+(3−0)
2
=
13
Length DA=
(−4−2)
2
+(−1+3)
2
=
52
Diagonal AC=
(4+4)
2
+(0+1)
2
=
65
Diagonal BD=
(2+2)
2
+(3+4)
2
=
65
ABCD are the vertices of a rectangle since AB=DC and AD=BC, also diagonal AC=BD.
Answer:
2)
For a rectangle, the opposite sides need to be equal and diagonals also have to be equal.
Now by using
Distance Formula = (2x−1x) 2+(2y−1y)2
Here coordinates of A are 1xand 1y and coordinates of B are 2xand 2y
Similarly for other coordinates also.
Length AB=(−2+4)2+(−4+1)2=13
Length BC=(4+2)2+(0+4)2=52
Length CD=(2−4)2+(3−0)2=13
Length DA=(−4−2)2+(−1+3)2=52
Diagonal AC=(4+4)2+(0+1)2=65
Diagonal BD=(2+2)2+(3+4)2=65
ABCD are the vertices of a rectangle since AB=DC and AD=BC, also diagonal AC=BD.