6.03 SSS and SAS congruence criteria
Interactive practice questions
Which value of $x$x makes $\triangle KLM$△KLM congruent to $\triangle RST$△RST?
Two triangles, $\triangle KLM$△KLM and $\triangle RST$△RST, have their vertices and side lengths labeled. The $\triangle KLM$△KLM has its vertices labeled as $K$K, $L$L, and $M$M. The side $KL$KL is opposite $\angle LMK$∠LMK. The side $LM$LM is labeled $x$x and is opposite $\angle LMK$∠LMK. The side $KM$KM is opposite $\angle KLM$∠KLM. The $\angle KLM$∠KLM is marked with a blue arc. The $\triangle RST$△RST has its vertices labeled as $R$R, $S$S, and $T$T. The side $RS$RS labeled $9$9 and is opposite $\angle RTS$∠RTS. The side $ST$ST is labeled $8$8 and is opposite $\angle SRT$∠SRT. The side $RT$RT is labeled $6$6 and is opposite $\angle RST$∠RST. The $\angle RST$∠RST is marked with a blue arc. Both side $KM$KM of $\triangle KLM$△KLM and side $RT$RT of $\triangle RST$△RST are marked with single tick marks. Both side $KL$KL of $\triangle KLM$△KLM and side $RS$RS of $\triangle RST$△RST are marked with double tick marks.
$x=8$x=8
$x=9$x=9
$x=7$x=7
$x=6$x=6
Which value of $x$x makes $\triangle ABC$△ABC congruent to $\triangle DFE$△DFE?
Which value of $x$x makes $\triangle STW$△STW$\cong$≅$\triangle YZX$△YZX?
Which value of $x$x makes $\triangle GHJ$△GHJ congruent to $\triangle EFG$△EFG?