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Please help define if these triangles are congruent or not and write a statement.

Please help define if these triangles are congruent or not and write a statement.-example-1
User NJBurgo
by
6.3k points

1 Answer

6 votes

Answer:

11 - not enough information

12 - yes, Angle-Angle-Side (AAS)

13 - yes, Side-Angle-Side (SAS)

14 - yes, Angle-Side-Angle (ASA)

15 - yes, ASA

16 - yes, Side-Side-Side (SSS)

17 - yes, ASA

18 - yes, SSS

19 - no (different from "not enough information")

20 - yes, AAS

Explanation:

11 - 1 pair of congruent sides is given; can conclude 1 pair of angles is ≅ by vertical angles; need 3 parts to prove congruence

12 - 1 pair of sides and a pair of angles given ≅; can show vertical angles ≅

13 - the side that's shared by the two triangles is the second ≅ side

14 - in addition to what's given, can show vertical angles ≅

15 - in addition to what's given, can show vertical angles ≅

16 - all given

17 - in addition to what's given, can show shared side ≅

18 - ..., shared side

19 - the congruent parts are not in the same order on each triangle

20 - all given

User Mkomitee
by
6.7k points
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