Garrett is constructing an angle that is congruent to ∠abc . with his straightedge, he draws and labels pq−→− . what should garret do next? put the compass point on point a and draw an arc that intersects bc−→− . put the compass point on point b and draw an arc that intersects ba−→ and bc−→− . put the compass point on point p and draw an arc that intersects pq−→− between point p and point q. put the compass point on point a and draw an arc that intersects ba−→ and bc−→− .

Option B is the right answer .Garret should do the next step"Put the compass point on point B and draw an arc that intersects BA−→ and BC−→−" to copy the original angle.

Step-by-step explanation:

To construct an angle that is congruent to the original angle ,you need to perform following steps:

1.  Use the straight edge to draw a ray PQ−→− .

2.  Use a compass ,set it to any particular length and put it on point B to draw an arc that crosses both rays of the original angle ∠ABC .ie. draw an arc that intersects BA−→ and BC−→−.

3. Mark the intersection by arc at BC by O and at AB by P.

4.

Draw the same arc on PQ−→− angle,mark the intersection on PQ−→− as M .

5.Use your compass to measure the OP distance.

6.Use same setting to intersect the arc on new angle by putting needle at M,name the intersection N.

7.Use your straight edge to draw a ray from point P that crosses N to complete the angle ,mark the other side of ray as  R.

Here is your angle ∠RPQ that is congruent to ∠ABC.

on plase n

parallel lines have the same slope. so if the green line has a slope of -4, the slope of the red line is also -4.