Question

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)
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 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 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

Answers

GPT-4o mini
To determine if sides \( \overline{AC} \) and \( \overline{BC} \) are constructed as copies of side \( \overline{AB} \), Reza must confirm that all three segments are of the same length.

The correct action is:

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

Using a compass, he can set the width to the length of \( \overline{AB} \) and then check if both \( \overline{AC} \) and \( \overline{BC} \) can be matched with that width, thus directly measuring their congruence to \( \overline{AB} \).