Ellie drew δlmn, in which m∠lmn = 90°. she then drew δpqr, which was a dilation of δlmn by a scale factor of one half from the center of dilation at point m. which of these can be used to prove δlmn ~ δpqr by the aa similarity postulate?

m∠p ≅ m∠l; this can be confirmed by translating point p to point l.
m∠p ≅ m∠n; this can be confirmed by translating point p to point n.
segment lm = one halfsegment pq; this can be confirmed by translating point p to point l.
segment mn = one halfsegment qr; this can be confirmed by translating point r to point n.

answer:

m∠p ≅ m∠l; this can be confirmed by translating point p to point l.

step-by-step explanation:

"aa similarity" means that when two angles are equal, the triangles are similar.

in δlmn ~ δpqr, we already know both m∠m = m∠q because m∠m (aka m∠lmn).

δpqr was dilated from δlmn from ∠m as the center of dilation, m∠m = m∠q.

pqr and lmn are written in the order of their equivalent angles.

p = l

q = m

r = n

if you translate point p to point l, the path stays on the side of the triangle, proving that the angle has not changed.

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it

2160ft3

step-by-step explanation: