Question

6.

These triangles ARE similar! Which reason proves it?
Р
10
U
T
Circle one:
AAN
SSS
SAS
9
12
8
6
SHOW CALCULATIONS to verify they are similar!
R
s
15

Answer 1

Explanation:

Comparing the triangles in the given questions, the following can be deduced:

5. The scale factor =
`(15)/(10)` =
`(12)/(8)` ≠
`(9)/(7)`

So that;

QR is similar to UT, PR is similar to US, but PQ is NOT similar to TS.

Thus, the triangles are NOT similar.

6. Scale factor =
`(15)/(10)` =
`(12)/(8)` =
`(9)/(6)`

= 1.5

So that;

QR is similar to UT, PR is similar to US, but PQ is similar to TS.

Thus, the triangles are similar by Side-Side-Side (SSS).

7. Here, an exact scale factor can not be determined. Thus, the triangles are NOT similar.