Question

1. if quadrilateral abcd was rotated 270 degrees counterclockwise about point d, what would be the coordinates of b?

Explanation:

Step1: Identify original coordinates

The coordinates of point D are (1,1) and of point B are (4,3).

Step2: Use rotation rule

A 270 - degree counter - clockwise rotation about a point (a,b) has the rule (x,y)→(a+(y - b),b-(x - a)). Here a = 1,b = 1,x = 4,y = 3.

Step3: Calculate new x - coordinate

New x - coordinate: 1+(3 - 1)=3

Step4: Calculate new y - coordinate

New y - coordinate: 1-(4 - 1)=1 - 3=-1
So the coordinates of B' are (0, - 1).

Answer:

(0, - 1)