Triangle abc is similar to triangle pqr, as shown below: two similar triangles abc and pqr are shown. triangle abc has sides ab = c, bc = a, and ac = b. triangle pqr has sides pq = r, qr = p, and pr = q. angle cab is congruent to angle rpq. angle abc is congruent to angle rqp. angle acb is congruent to angle qrp. which ratio is equal to r: c? c: p p: a r: a q: c

p:a

Step-by-step explanation:

given: AB=c, BC=a, CA=b

          PQ=r, QP=p, PR=q

  also , ∠CAB ≅ ∠RPQ, (1)

          , ∠ABC ≅ ∠RQP,(2)

    and, ∠ACB ≅ ∠QRP,(3)

FROM (1), (2) AND (3),

we can say that a=p, b=q, c=r

therefore, the triangles are congruent (S.S.S congruence criteria),

also then, r:c=1

then the ratio equal to r:c, will be p:a ( since p=a and p:a would be =1)    

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

answer: 819.89 miles across america

step-by-step explanation: