Question

visit www.bigideasmathvideos.com to watch the flipped video instruction for the \try this\ problem(s) below. try this video for extra example 4 - comparing segments for congruence 3) plot ( p(-4, 3) ), ( q(3, 3) ), ( r(-1, 4) ), and ( s(-1, -2) ) in a coordinate plane. then determine whether ( overline{pq} ) and ( overline{rs} ) are congruent.

Explanation:

Step1: Calculate length of $\overline{PQ}$

Since $P(-4,3)$ and $Q(3,3)$ have the same $y$-coordinate, subtract $x$-values:
$PQ = |3 - (-4)| = |7| = 7$

Step2: Calculate length of $\overline{RS}$

Since $R(-1,4)$ and $S(-1,-2)$ have the same $x$-coordinate, subtract $y$-values:
$RS = |-2 - 4| = |-6| = 6$

Step3: Compare segment lengths

Congruent segments have equal lengths. $7
eq 6$, so $\overline{PQ}
ot\cong \overline{RS}$.

Answer:

$\overline{PQ}$ and $\overline{RS}$ are not congruent. The length of $\overline{PQ}$ is 7, and the length of $\overline{RS}$ is 6.