Question

GEOMETRY HELLPP

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

Answer 1

Since the triangles are similar, the answer is p : a

Answer 2

Answer: p:a

Explanation:

Triangle ABC is similar to triangle PQR. In similar triangles sides are in proportion.The side opposite to equal angles are in proportion.

r is opposite to <R and c is opposite to <C in figure .These angles C and R are marked equal in the triangles.So the sides are in proportion .Among the given options p and a sides are opposite to the equal angles <P and <A.so they will be in proportion.

r:c=p:a.