Question

Question:Use the image to answer the question.What additional piece of information is needed in order to state that $\triangle OPQ \cong \triangle RST$ by the SSS Congruence Theorem?Given Information from the ImageThe image shows the following sides are already marked as congruent:$\overline{OP} \cong \overline{RS}$ (marked with a single tick mark)$\overline{PQ} \cong \overline{ST}$ (marked with double tick marks)Multiple Choice Options (Responses)( ) $\overline{QO} \cong \overline{TR}$( ) $\overline{OQ} \cong \overline{RS}$( ) $\overline{OP} \cong \overline{RT}$( ) $\overline{PQ} \cong \overline{RT}$

Answer 1

Answer: Select the first option, QO ≅ TR.

Reason: The correspondence is O↔R, P↔S, Q↔T, so the remaining corresponding side is OQ ≅ RT, which together with OP ≅ RS and PQ ≅ ST gives SSS.