Question

Select from the drop-down menu to correctly complete the statement about the given figures.

Triangles PQR and MNO are ( here it has a drop down menu I'll include those options below)
Similar or not similar?


Two right triangles, PQR and MNO. For triangle PQR, angle Q is thirty degrees. For triangle MNO, angle N is forty-five degrees.

Answer 1

The triangles are not similar. For triangle PQR to be similar to triangle MNO, each angle would have to be congruent. The two triangles only have a 90 degree angle in common. Triangle PQR has 90, 30, and 60 degree angles while triangle MNO has 90, 45, and 45 degree angles.

Answer 2

Given that the two trianglea are right angles, this means that one of the angles is 90 degrees.

If one on the angles of triangle PQR is 30 degrees, then the third angle will be 60 degres.

Thus, the three angles of triangle PQR are: 90, 30, 60

If one on the angles of triangle MNO is 45 degrees, then the third angle will be 45 degres.

Thus, the three angles of triangle MNO are: 90, 45, 45

For two triangles to be similar, their angles has to equal.

Therefore, triangles PQR and MNO are not similar.