Question

List all pairs of congruent angles. Then write the ratios of the corresponding side lengths in a statement of proportionality

Answer 1

Part A)

m<BDG=m<MPQ

m<DBG=m<PMQ

m<DGB=m<PQM

Part B)
`(BD)/(MP)=(DG)/(PQ)=(BG)/(MQ)`

Explanation:

we know that

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

Part A)

we have that

the congruent angles are

m<BDG=m<MPQ

m<DBG=m<PMQ

m<DGB=m<PQM

Part B) The ratio of its corresponding sides is equal to

`(BD)/(MP)=(DG)/(PQ)=(BG)/(MQ)`