Answer:
Step-by-step explanation:
The co-ordinates of the rectangle are:
A (8, 6)
B (-4, -10)
C (-8, -7)
D (4, 9)
The Area of Rectangle is Given by: <em>length x breadth </em>= AB x BC
Lengths of AB and BC can be found by distance formula
<em>length</em>(AB) = =
Similarly,
<em>length</em>(BC) = 5
Area of Rectangle = AB x BC = 20 x 5 = 100 square units
We are given coordinates of the triangle: A(2,2), B(7,1) and C(8,-4).
We need to rotated 90° counterclockwise about the origin.
In order to find the new coordinates of rotatation 90°counterclockwise about the origin, we can apply rule (h, k) ---> (-k,h).
Where (h,k) are the coordinates of original image on axes and (-k,h) are the coordinates of rotated image.
In resulting coordinates of the image first swap the x and y coordinates of the original image and then make the sign opposite of each x-coordinate.
On applying rule (h, k) ---> (-k,h), we get
A(2,2) --> A'(-2,2)
B(7,1) --> B'(-1,7)
C(8,-4) --> C'(4,8)
