Since these two coordinates are on the same Y-axis, we can assume that this is a straight line and do not need to create a triangle and solve for the hypotenuse. The distance from -8 to 0 is 8, and the distance from 0 to 7 is 7. Meaning that the distance between the two points is 15 units.
That will be easy. It could be 12/56+3/56 or, 7/56+8/56 or, 10/56+5/56.
a counterclockwise rotation about the origin of 90°
The coordinates of P(3, 3), Q(5, 3), R(5, 7)
The coordinates of P'(- 3, 3 ), Q'(- 3, 5), R'(- 7, 5)
Note that the y-coordinate of the image is the negative of the original, while the x-coordinate of the original becomes the y-coordinate of the image
The rotation which does this is a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x )
Answer:
The length is 14 and the area is 196 cm².
#1) (b)
#2) (d)
#3) (d)
My explanations are the same as your previous questions.