In our exercise we are asked to construct ∘ C with a radius of 4.5 inches, and then construct a line tangent to ∘ C that passes through a point A that lies outside the circle. Let's start with drawing point C, which will be the center of a circle.
Next, using the ruler we will draw a 4.5-inch segment CD. Point D will be the point that lies on ∘ C.
Now let's put the compass on C and the pencil on D, and draw a circle.
The next step will be to draw point A that lies outside the circle.
Next we will find the midpoint of CA. To do this we will put the compass in C and draw arcs above and below the segment.
Keeping the same compass setting, let's put it on point A and draw arcs above and below the segment.
Now we will connect the points of intersection of the arcs with a line. The point of intersection of this line and CA will be the midpoint M.
The next step will be to construct ∘ M with radius MA.
Finally, let's label one of the points of intersection of these two circles as B. Line AB will be a line tangent to ∘ C.
