4. if quadrilateral abcd was rotated 270 degrees counterclockwise about point d, what would be the…
4. if quadrilateral abcd was rotated 270 degrees counterclockwise about point d, what would be the coordinates of b?
Answer
Answer:
(0, - 1)
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).