Question

Copy DEF to the line so that S is the vertex. This task will be complete when you have constructed an angle with vertex S that is congruent to DEF.

A) Rotate DEF by 30° counterclockwise around S.
B) Reflect DEF over the line containing S.
C) Translate DEF 30 units to the right.
D) Resize DEF by a factor of 30.

Answer 1

To copy DEF to the line so that S is the vertex and create a congruent angle, you can rotate DEF counterclockwise around S, reflect DEF over the line containing S, or translate DEF to the right.

Step-by-step explanation:

To copy DEF to the line so that S is the vertex and create an angle congruent to DEF, we have the following options:

A) Rotate DEF by 30° counterclockwise around S: This will result in a new angle that has the same shape and size as DEF, but its position will change.

B) Reflect DEF over the line containing S: This will produce a mirror image of DEF across the line, creating a congruent angle.

C) Translate DEF 30 units to the right: This will shift DEF to the right without changing its shape or size, resulting in a congruent angle.

D) Resize DEF by a factor of 30: This option will change the size of DEF by a large factor, resulting in an angle that is substantially different from the original DEF.