(khan academy question)

a circle is centered at a(-5,-8). the point m(-1,-3) is on the circle. where does the point v(-11,-6) lie?

(option a)

inside the circle

(option b)

outside the circle

(option c)

on the circle

Option A)   Inside the circle

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The radius is equal to the distance from the center to any point on the circle

the formula to calculate the distance between two points is equal to

we have

A(-5,-8),M(-1,-3)

substitute the values

step 2

Find the distance from the center to point V

we know that

If the distance from the center to point V is equal to the radius, then the point V lie on the circle

If the distance from the center to point V is less than the radius, then the point V lie inside the circle

If the distance from the center to point V is greater than the radius, then the point V lie outside the circle

we have

A(-5,-8),V(-11,-6)

substitute in the formula

so

The distance from the center to point V is less than the radius

therefore

The point V lie inside the circle

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.