Answer:
The circles B and D are similar because B can be mapped onto D by a translation of 8 units to the right and 1 unit down, followed by a dilation about its center by a scale factor of 0.5.
Step-by-step explanation:
If we translate the circle about its center, Circle B's center will coincide with Circle D's Center.
Circle B radius is 4 while Circle D radius is 2 so we need to dilate Circle B radius to shrink it to 2.
When we shrink a figure, the dilation scale factor must be less than 1 but what is the scale factor.
Use the formula
y=kx where y is the new radius and x is the original radius and k is the scale factor
THe second second statement is the answer.
Answer: <RPS = 161
Step-by-step explanation:
P is the common vertex in all of these angles. From this we know that these have to be adjacent angles (<QPR and <QPS) that equal the whole angle (<RPS)
<QPR+<QPS= <RPS
71+90= 161
(<QPS is a right angle. Right angles are equal to 90 degrees.)
