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? 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.

triangle mno is dilated to form a new triangle pqr. it is given that angle o is congruent to angle r. we need to find one condition to prove the triangles mno and pqr similar.

triangles are similar when they have the same shape, but not necessarily the same size. triangles can be proved similar by using many criteria as aa, sas, sss.

in this case, it is given that angle o is congruent to angle r.

we will apply aa criteria for similarity which states that

"if two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar".

now, in triangles mno and pqr,

we will use the second option which says,

therefore, the triangles pqr and mno are similar by aa criteria.

so, option 2 is the correct answer.

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.