Question

what additional information do you need to prove $\triangle abc cong \triangle xyz$ by sss
$\bigcirc bc cong yz$
$\bigcirc angle a cong angle x$
$\bigcirc angle b cong angle y$
$\bigcirc ac cong zy$

Explanation:

Step1: Recall SSS congruence rule

SSS (Side-Side-Side) congruence requires all three pairs of corresponding sides of the triangles to be congruent.

Step2: Identify given congruent sides

From the diagram:
$AB \cong XY$ (marked with double tick marks),
$AC \cong XZ$ (marked with single tick marks).

Step3: Find missing corresponding sides

The remaining pair of corresponding sides are $BC$ and $YZ$. For SSS congruence, this pair must be congruent.

Answer:

$BC \cong YZ$