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 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 side AB¯¯¯¯¯¯¯¯
to see if BC¯¯¯¯¯¯¯¯
and AC¯¯¯¯¯¯¯¯
are the same length.
Reza must use his straightedge 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 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.
Remaining Attempts : 3
1 answer
To determine if sides \( AC \) and \( BC \) are constructed as copies of side \( AB \), Reza needs to verify that the lengths of these sides are equal. The correct response to this requirement is:
Reza must use his compass to measure side \( AB \) to see if \( BC \) and \( AC \) are the same length.
This option directly addresses the need to verify the lengths of the sides using a compass, which is a tool commonly used to measure distances in geometric constructions.
