Answer:
Yes. The triangles are similar
Similarity criterion:
Angle H is shared and the side lengths are in a common ratio.
The similarity statement: SSS
Explanation:
We know by looking at the triangle that the angle H is shared by both △NHQ and △YHZ. Furthermore, the side lengths of the triangle are in common ratio, meaning
HQ = 2* HZ
HN = 2* HY
QN = 2 * YZ
therefore by SSS, we conclude that the triangles △NHQ and △YHZ are similar.
Note: as a general rule, if any two triangles have all three sides in common ratio, then they are by SSS similar triangles.
