276,022 views
3 votes
3 votes
Two triangles are shown below. Which statement is sufficient to prove that AACB ~ARTS ? AB AC 1 BA BC CA TR LA ZR, ZB ZT AC RT 1 AB RS 6 RT RS SR ST

Two triangles are shown below. Which statement is sufficient to prove that AACB ~ARTS-example-1
User Tim Malone
by
2.5k points

1 Answer

15 votes
15 votes

For both triangles to be similar, the corresponding sides of both triangles are always in the same ratio.

So for the corresponding sides:

1) BA ans SR, the ratio will be


(BA)/(SR)

2)AC and RT, the ratio will be


(AC)/(RT)

3) BC and ST, the ratio will be


(BC)/(ST)

As mentioned above, the ratio between corresponding sides is always the same so that, if the triangles are simmilar the we know that:


(AB)/(RS)=(BC)/(ST)=(AC)/(RT)

The correct option is the first one.

User Withheld
by
3.4k points