Use the image to answer the question.

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¯¯¯¯¯¯¯¯
?

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 compass to measure side AB¯¯¯¯¯¯¯¯
to see if BC¯¯¯¯¯¯¯¯
and AC¯¯¯¯¯¯¯¯
are the same length.

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

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.

Answer 1

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