Question

1 matching 7 points
put the steps in the appropriate order for the construction of ∠b congruent to ∠w.

Explanation:

Step1: Draw a ray with endpoint B.

Draw a ray with an endpoint labeled B. This will be one - side of the new angle.

Step2: Place the compass at vertex W.

Center the compass at the vertex of the given angle ∠W.

Step3: Draw an arc that intersects both sides of ∠W.

The arc should cross both rays of the angle ∠W, creating two intersection points.

Step4: Without changing the compass width, place the compass at B.

Keep the same radius setting on the compass and move it to the endpoint B of the new ray.

Step5: Draw an arc that intersects the ray from B.

This arc will be used to help transfer the angle measure.

Step6: Measure the distance between the two intersection points on ∠W.

Use the compass to measure the length between the two points where the arc intersects the sides of ∠W.

Step7: With the compass width set to the measured distance, place the compass at the intersection of the arc and the ray from B and draw an arc that intersects the first arc drawn from B.

This new intersection point, along with point B and the end - point of the original ray from B, forms an angle ∠B congruent to ∠W.

Answer:

1. Draw a ray with endpoint B.
2. Place the compass at vertex W.
3. Draw an arc that intersects both sides of ∠W.
4. Without changing the compass width, place the compass at B.
5. Draw an arc that intersects the ray from B.
6. Measure the distance between the two intersection points on ∠W.
7. With the compass width set to the measured distance, place the compass at the intersection of the arc and the ray from B and draw an arc that intersects the first arc drawn from B.