Triangle mno is dilated to form new triangle pqr. if angle o is congruent to angle r, what other information will prove that the two triangles are similar by the aa similarity postulate?

side on is congruent to side rq.

angle n is congruent to angle q.

side mn is congruent to side pq.

angle m is congruent to angle q.

Angle N is congruent to angle Q

Step-by-step explanation:

we know that

A dilation is a non rigid transformation that produces similar figures

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

Triangles MNO and PQR are similar

so

∠M≅∠P

∠N≅∠Q

∠O≅∠R

therefore

The other information that will prove that the two triangles are similar by AA Similarity Postulate is

Angle N is congruent to angle Q or Angle M is congruent to angle P

Angle N is congruent to angle Q.

Step-by-step explanation:

I just took the test and that was the correct answer.

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)