Question

reza examined the triangle in the image and wanted to know if sides $overline{ac}$ and $overline{bc}$ are copies of $overline{ab}$. what must he do to determine if sides $overline{ac}$ and $overline{bc}$ are constructed as copies of side $overline{ab}$? (1 point) reza must use his compass to measure the distance from point $a$ to halfway between points $b$ and $c$ to see if $overline{bc}$ and $overline{ac}$ are congruent. reza must use his straightedge to measure side $overline{ab}$ to see if $overline{bc}$ and $overline{ac}$ 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 $overline{bc}$ and $overline{ac}$ are congruent. reza must use his compass to measure side $overline{ab}$ to see if $overline{bc}$ and $overline{ac}$ are the same length

Explanation:

To check if sides $\overline{AC}$ and $\overline{BC}$ are copies of $\overline{AB}$, Reza needs to measure the length of $\overline{AB}$ and compare it with the lengths of $\overline{AC}$ and $\overline{BC}$. A compass can be used to measure lengths by setting its width to the length of a segment and then checking if it matches other segments. Measuring the mid - point between $B$ and $C$ is not relevant to comparing with $\overline{AB}$. A straightedge is used for drawing straight lines, not for measuring lengths precisely.

Answer:

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