Question

construct ∠d so that ∠d≅∠c. what is the fourth - step of the construction? a. with the same compass setting as the previous step. b. with the same compass setting as the previous step. c. open the compass to length ab. put the compass point on a and draw another arc that intersects the arc constructed in the previous step. label the intersection t. d. open the compass to length ab. put the compass point on a and draw another arc that intersects the arc constructed in the previous step. label the intersection t. note that an arc has been drawn that intersects the ray with endpoint d. to create an angle, ∠d, congruent to ∠c, use d as the vertex and determine where along the arc the terminating side of the angle must intersect. consider how this can be done using the information from ∠c.

Explanation:

Step1: Analyze angle - construction steps

When constructing an angle congruent to a given angle, we first copy the arc - length from the given angle.

Step2: Identify correct fourth step

After drawing an initial arc from the new vertex, with the same compass setting as the previous step (which was used to copy the arc - length from the given angle), we draw another arc that intersects the first arc. This helps in creating the angle with the same measure as the given angle.

Answer:

A. With the same compass setting as the previous step, draw an arc that intersects the arc constructed in the previous step. Label the intersection T.