Question

Select the correct answer. a line each runs from point b through points a and c. first arc, centered at b, cuts line b a at j and line b c at k. a line runs rightward from point d. second arc, centered at d, cuts the line at l and third arc, centered at l, cuts the line at m. what needs to be corrected in the following construction for copying ∠ with point d as the vertex? a. the second arc should be drawn centered at k through a. b. the second arc should be drawn centered at j through a. c. the third arc should cross the second arc. d. the third arc should pass through d.

Answer 1

The error in the angle copying construction is that the third arc should cross the second arc to ensure congruency with the original angle; hence, option C is correct.

Step-by-step explanation:

The question appears to describe the steps of constructing an angle congruent to a given angle, with point D as the vertex of the new angle. To correct the construction for copying an angle with point D as the vertex, one must ensure that all steps adhere to the principles of angle construction. The correct step that should be taken is:

• The second arc should be centered at D and cut through the first arc. This creates the same angle at the new vertex D as at the original vertex B.

Therefore, option C, 'the third arc should cross the second arc,' is the correct answer to what needs to be corrected. The third arc, centered at the point where the second arc intersects the line from D, will intersect the line from D again to create the same angle as the original.