Chapter 6.2, Problem 4CYP

To determine

To calculate: $\overline{HJ}\cong \overline{ML}$

Explanation of Solution

Given: Two parallelograms $▱HJKP$ and $▱PKLM$

  

Formula Used:

In a parallelogram, opposite sides are equal

Two figures are congruent when the figures have same shape and size

Calculation:

Given that $▱HJKP$ is a parallelogram

  $HJ\parallel PK$ and $HJ=PK$

Thus, $\overline{HJ}\cong \overline{PK}$ ----- (1)

Also, given that $▱PKLM$ is a parallelogram

  $PK\parallel ML$ and $PK=ML$

Thus, $\overline{PK}\cong \overline{ML}$ ------ (2)

From equations (1) and (2),

  $\overline{HJ}\cong \overline{ML}$

Conclusion:

Hence, proved that $\overline{HJ}\cong \overline{ML}$ .