Use the image to answer the question.

An equilateral triangle is formed by labeled vertices upper A upper B upper C.

Reza examined the triangle in the image and wanted to know if sides AC¯¯¯¯¯¯¯¯
and BC¯¯¯¯¯¯¯¯
are copies of AB¯¯¯¯¯¯¯¯
. What must he do to determine if sides AC¯¯¯¯¯¯¯¯
and BC¯¯¯¯¯¯¯¯
are constructed as copies of side AB¯¯¯¯¯¯¯¯
?

(1 point)
Responses

Reza must use his compass to measure the distance from point A
to halfway between points B
and C
to see if BC¯¯¯¯¯¯¯¯
and AC¯¯¯¯¯¯¯¯
are congruent.
Reza must use his compass to measure the distance from point upper A to halfway between points upper B and upper C to see if Modifying above upper B upper C with bar and Modifying above upper A upper C with bar are congruent.

Reza must use his compass to measure side AB¯¯¯¯¯¯¯¯
to see if BC¯¯¯¯¯¯¯¯
and AC¯¯¯¯¯¯¯¯
are the same length.
Reza must use his compass to measure side Modifying above upper A upper B with bar to see if Modifying above upper B upper C with bar and Modifying above upper A upper C with bar are the same length.

Reza must use his straightedge to measure the distance from point A
to halfway between points B
and C
to see if BC¯¯¯¯¯¯¯¯
and AC¯¯¯¯¯¯¯¯
are congruent.
Reza must use his straightedge to measure the distance from point upper A to halfway between points upper B and upper C to see if Modifying above upper B upper C with bar and Modifying above upper A upper C with bar are congruent.

Reza must use his straightedge to measure side AB¯¯¯¯¯¯¯¯
to see if BC¯¯¯¯¯¯¯¯
and AC¯¯¯¯¯¯¯¯
are the same length.

1 answer

To determine if sides \( \overline{AC} \) and \( \overline{BC} \) are copies of side \( \overline{AB} \), Reza must check if they are the same length. The correct response that outlines this process is:

Reza must use his compass to measure side \( \overline{AB} \) to see if \( \overline{BC} \) and \( \overline{AC} \) are the same length.

This response is most straightforward and directly addresses the requirement to determine the congruence of the sides by measuring their lengths.