Answer:
The slope of AB is 3
The slope of A'B' is 3
A'B' passes through point O.
Explanation:
We have given:
AB is dilated by a scale factor of 3 to form "AB" Point O, which lies on "AB" , is the center of dilation.
If you look at the attached picture you will observe that the dilation with scale factor 3 stretching the line AB three times longer. As the dilation does not change the direction of the line, the slope will stay same.
If point O lies on AB and is the center of dilation, then the point O must also lie on A'B'.
Thus the answers are:
The slope of AB is 3
The slope of A'B' is 3
A'B' passes through point O ....