Question

select the correct answer from each drop - down menu. point p lies on a circle with center o. the given steps describe a process to construct a line tangent to the circle at point p. complete the missing information for the construction. complete the missing information for the construction of a tangent line to a circle from point p on the circle. step 1: draw a line through p beyond the circle from the center o. step 2: with the compass on 􏰀, draw an arc on each side and label them q and r. step 3: with the compass on q, set its width to be 􏰀 qp and make one arc outside the circle. step 4: without changing the compass width, repeat for r, labeling the intersection of the arcs s. step 5: draw a line through 􏰀

Explanation:

Step1: Identify the key - point for arc - drawing

We need to draw arcs from a point related to the given point \(P\) on the circle. Since we are constructing a tangent, we draw arcs from point \(P\) in Step 2. So the first blank is \(P\).

Step2: Set compass width for congruent arcs

To construct the tangent, we set the compass width equal to the distance \(QP\) to create congruent - like arcs. So the second blank is equal to.

Step3: Determine the points for the tangent line

The tangent line is drawn through the point \(P\) (the point of tangency) and the intersection point \(S\) of the arcs. So the third blank is \(P\) and \(S\).

Answer:

Step 2: \(P\)
Step 3: equal to
Step 5: \(P\) and \(S\)