Question

try it! copy an angle 3. how can you construct a copy of ∠b?

Explanation:

Step1: Draw a ray

Draw a ray, let's call its endpoint \( C \), to serve as one side of the copied angle.

Step2: Center at \( B \)

With the compass point at vertex \( B \) of \( \angle B \), draw an arc that intersects both sides of \( \angle B \). Let the intersection points be \( D \) (on one side) and \( E \) (on the other side).

Step3: Center at \( C \)

Without changing the compass width, place the compass point at \( C \) and draw the same arc intersecting the ray at point \( F \).

Step4: Measure \( DE \)

Set the compass width to the distance between \( D \) and \( E \).

Step5: Center at \( F \)

With the compass point at \( F \), draw an arc intersecting the previous arc at point \( G \).

Step6: Draw the ray

Draw a ray from \( C \) through \( G \). Now \( \angle C \) (with sides \( CF \) and \( CG \)) is a copy of \( \angle B \).

Answer:

To construct a copy of \( \angle B \), follow these steps: 1. Draw a ray with endpoint \( C \). 2. With compass at \( B \), draw an arc intersecting both sides of \( \angle B \) (at \( D \) and \( E \)). 3. Without changing compass width, draw the same arc from \( C \) (intersecting the ray at \( F \)). 4. Set compass to \( DE \) length. 5. Draw an arc from \( F \) to intersect the previous arc at \( G \). 6. Draw ray \( CG \); \( \angle C \) is the copy.