Interactive practice questions
Consider the two similar triangles.
Two similar triangles have their angles marked with blue arcs. On the left, a small triangle has vertices labeled $D$D, $C$C and $E$E. The angle at vertex $D$D, $\angle CDE$∠CDE, is marked with a single arc. The angle at vertex $C$C, $\angle DCE$∠DCE, is marked with a double arc. The angle at vertex $E$E, $\angle CED$∠CED, is marked with a triple arc. Side $CE$CE is opposite $\angle CDE$∠CDE. Side $DE$DE is opposite $\angle DCE$∠DCE. Side $CD$CD is opposite $\angle CED$∠CED. On the right, a larger triangle has vertices labeled $N$N, $M$M and $L$L. The angle at vertex $N$N, $\angle MNL$∠MNL, is marked with a single arc. The angle at vertex $M$M, $\angle LMN$∠LMN, is marked with a double arc. The angle at vertex $L$L, $\angle NLM$∠NLM, is marked with a triple arc. Side $ML$ML is opposite $\angle MNL$∠MNL. Side $LN$LN is opposite $\angle LMN$∠LMN. Side $NM$NM is opposite $\angle NLM$∠NLM.
By filling in the gaps, match the corresponding angles.
$\angle$∠$D$D corresponds to $\angle$∠$\editable{}$
$\angle$∠$E$E corresponds to $\angle$∠$\editable{}$
$\angle$∠$C$C corresponds to $\angle$∠$\editable{}$
$CD$CD corresponds to which side in $\triangle LMN$△LMN?
$LN$LN
$ML$ML
$MN$MN
$CE$CE corresponds to which side in $\triangle LMN$△LMN?
$LN$LN
$MN$MN
$ML$ML
Consider the two similar triangles.
Given that all three angles in one triangle match all three angles in another triangle, can you be sure these triangles are similar?
Consider the two similar triangles.