9. In similar triangles the corrosponding sides are---------------and the corrosponding angles are----

Question

Proportional
Congruent
10. Are the two triangles below similar? If so, write a similarity statement and state which similarity criteria can be used to prove it?
Similarity Statement: ------------:
△ABC ~ △DEF
△ABC ~ △FDE
△ABC ~ △EFD
The triangles are not similar
Criteria
AA~
SAS~
SSS~
Not applicable, the triangles are not similar.
12. Identify two similar triangles in the figure below. State the criteria that proves they are similar. Finally, determine the length of ‾AB
Similar Triangles---------
△ABC ~ △ABD
△ABC ~ △ADB
△DBC ~ △ABD
△DBC ~ △ABC
Criteria
AA~
SAS~
SSS~
AB=
6
8

Answer 1

The similar triangles are △ABC ~ △ABD and △ABC ~ △ADB. The similarity is proven by the AA~ (Angle-Angle) criteria. The length of ‾AB is 8 units.