Use the following information to answer questions 48–51.
The 2 circles graphed in the standard (x,y) coordinate plane below are centered at the origin, O. In coordinate units, the radius of the smaller circle is 2, and the radius of the larger circle is 4. Points A(-4,0), B, and C(4,0) are on the larger circle. The measure of ∠BOC is 45°.
(Note: Both axes have the same scale.)
49. A 3rd circle, not shown, is the image resulting from applying the 1st transformation listed below to the smaller circle and then applying the 2nd transformation listed below to the result of the 1st transformation.
1st: A dilation with center O and scale factor 2
2nd: A translation of 8 coordinate units to the right
The 3rd circle has how many points in common with the larger circle?
Your Answer is
Correct Answer is B
Explanation
Enlarge the small circle twice, then coincide with the big circle at this time, then parallel 8 units to the right, and only intersect with the big circle at point C, that is, an intersection