To show that circle p is similiar to circle q circle p is translated t units to the right. The image is then dilated about its center by a scale factor of s what are the values of t and s midpoints are p (-5,6)and q is (8,6) point from mid to wall for p is 4 and for q is 7
To show that circle P is similar to circle Q, we need to find the translation (t) and scale factor (s).
1. Translation (t):
Given that the midpoints of circle P and circle Q are P(-5, 6) and Q(8, 6) respectively, we can see that the translation in the x-direction (to the right) from P to Q is 8 - (-5) = 13 units.
Therefore, the translation value (t) is 13 units to the right.
2. Scale Factor (s):
Given that the point from the midpoint to the wall for circle P is 4 units and for circle Q is 7 units. This means that the radius of circle P is 4 units, and the radius of circle Q is 7 units.
The scale factor (s) can be calculated as the ratio of the radius of circle Q to the radius of circle P:
s = 7 / 4 = 1.75
Therefore, the values of t and s are:
t = 13 units (to the right)
s = 1.75