Question

1. following the steps below, what is the next step in constructing a congruent angle? 1. start by drawing angle bac. 2. make a point p that will be the vertex of the new angle. 3. from p, draw a ray pq. this will become one side of the new angle. this ray can go off in any direction. it does not have to be parallel to anything else. 4. place the compass tip on point a, set to any convenient width. 5. draw an arc across both sides of the angle, creating the points j and k as shown. 6. without changing the compasss width, place the compass point on p and draw a similar arc there, creating point m as shown. 7. set the compass on k and adjust its width to point j. 8. without changing the compasss width, move the compass to m and draw an arc across the first one, creating point l where they cross. 9. ? draw a line segment of any length, pq. p will be the angles vertex. using the straight edge, draw a line from a to where the arcs cross. draw a ray pr from p through l and onwards a little further. the exact length is not important. from b, mark off a short arc above p.

Explanation:

Step1: Recall angle - construction steps

The goal is to construct a congruent angle. After creating point L as the intersection of two arcs with the compass, the next logical step is to complete the new angle.

Step2: Identify the correct action

To complete the construction of the congruent angle with vertex P, we need to draw a ray from P through L.

Answer:

Draw a ray PR from P through L and onwards a little further. The exact length is not important.