Question

is $overline{pr} cong overline{qs}$?
(there is a number line with points p at -40, q at -30, r at -20, s at -10, 0 on the right. below are two buttons: yes, no (a finger is pointing to no))

Explanation:

Step1: Calculate length of \( \overline{PR} \)

The coordinates of \( P \) is \(-40\) and \( R \) is \(-20\). The length of a segment on a number line is the absolute difference of the coordinates. So, \( PR = | -20 - (-40) | = |20| = 20 \).

Step2: Calculate length of \( \overline{QS} \)

The coordinates of \( Q \) is \(-30\) and \( S \) is \(-10\). Using the same method, \( QS = | -10 - (-30) | = |20| = 20 \).

Step3: Compare lengths

Since \( PR = 20 \) and \( QS = 20 \), \( \overline{PR} \cong \overline{QS} \).

Answer:

yes