Question

jacob wanted to construct an angle that is congruent to ∠abc. first he used a straight edge to draw a ray with endpoint e. then he placed the compass at point c and drew arc ab. he then kept the compass width the same and placed the anchor at point e and drew another arc. what should be the next step in his construction?
o more than the distance from b to c
o exactly the distance from b to c
o less than the distance from a to b
o exactly the distance from a to b

Explanation:

Step1: Recall angle - congruence construction

To construct an angle congruent to ∠ABC, after drawing an arc from C intersecting the sides of ∠ABC at A and B, we use the compass width set to the distance between A and B.

Step2: Apply to new construction

When constructing an angle at point E, we keep the compass width the same as the distance from A to B to ensure the new angle will be congruent to ∠ABC.

Answer:

D. Exactly the distance from A to B