Question

for exercises 1 and 2, use the ray with endpoint m. 1. explain how you can use a compass to mark point n on the ray with endpoint m so that mn is a copy of ab. take the length of ab, put the point of the compass on m, then make a line 2. mark point n. for exercises 3 - 5, use pq. 3. explain how you can use point q to find point r such that ∠rpq is a copy of ∠g. first arc on ∠g second arc on pq third measure mn. intersect arcs to get r 4. draw ∠rpq.

Explanation:

Step1: Copy length of segment

Open the compass to the length of $\overline{AB}$. Place the compass - point on $M$.

Step2: Mark the point

Swing an arc that intersects the ray with endpoint $M$. The intersection point is $N$, so $\overline{MN}$ is a copy of $\overline{AB}$.

For exercise 3:

Step1: Arc on $\angle G$

With the compass, draw an arc that intersects the two sides of $\angle G$ at two points. Let's call these points $M$ and $N$ on $\angle G$.

Step2: Arc on $\overline{PQ}$

With the same compass - setting, place the compass point on $Q$ and draw an arc that intersects $\overline{PQ}$.

Step3: Measure and intersect

Measure the distance between $M$ and $N$ on $\angle G$ with the compass. Then, with the compass point on the intersection point of the arc and $\overline{PQ}$, draw another arc. The intersection of this new arc and the previous arc (drawn from $Q$) gives the point $R$ such that $\angle RPQ$ is a copy of $\angle G$.

Answer:

1. Open compass to length of $\overline{AB}$, place on $M$, swing arc to get $N$.
2. Follow the three - step arc - drawing and measurement process as described above to find $R$ such that $\angle RPQ=\angle G$.