Question

Triangle upper O upper P upper Q is labeled clockwise starting with vertex upper O in the lower left. Triangle upper R upper S upper T is labeled clockwise starting at vertex upper R in the upper right. Side upper O upper P and side upper R upper S are marked with single congruent tick marks. Side upper P upper Q and side upper S upper T are marked with double congruent tick marks.


What additional piece of information is needed in order to state that △OPQ≅△RST
by the SSS Congruence Theorem?

(1 point)
Responses

OP¯¯¯¯¯¯¯¯≅RT¯¯¯¯¯¯¯
Modifying above upper O upper P with bar congruent to Modifying above upper R upper T with bar

QO¯¯¯¯¯¯¯¯≅TR¯¯¯¯¯¯¯
Modifying above upper Q upper O with bar congruent to Modifying above upper T upper R with bar

OQ¯¯¯¯¯¯¯¯≅RS¯¯¯¯¯¯¯
Modifying above upper O upper Q with bar congruent to Modifying above upper R upper S with bar

PQ¯¯¯¯¯¯¯¯≅RT¯¯¯¯¯¯¯

Answer 1

You need OQ ≅ RT (same as QO ≅ TR). With OP ≅ RS and PQ ≅ ST, showing OQ ≅ RT gives all three corresponding sides congruent, so △OPQ ≅ △RST by SSS.