1. Which picture below that does not contain enough information to prove that AABC = ADEF? (1)
E
Rund
1 Which of the three theorems ASA SAS

1. The set of triangles ABC and DEF that does not contain enough information to prove that both triangles are congruent by any Congruence Theorem is in: Figure 3

2. The Congruence Theorem that can be used to justify why triangles ABC and ADC are congruent is: SAS Congruence Theorem.

1. The set of triangles ABC and DEF in figure 1 shows that:

Therefore, Triangles ABC and DEF are congruent by the ASA Congruence Theorem.

The set of triangles ABC and DEF in figure 2 shows that:

Therefore, Triangles ABC and DEF are congruent by the SAS Congruence Theorem.

The set of triangles ABC and DEF in figure 2 shows that:

The set of triangles ABC and DEF in figure 2 shows that:

Therefore, Triangles ABC and DEF are congruent by the SSS Congruence Theorem.

Only the picture in figure 3 doesn't contain enough information to prove triangles ABC and DEF are congruent.

2. The two triangles ABC and CDA in the picture given shows that:

Therefore, Triangles ABC and ADC can be proved to be congruent by the SAS Congruence Theorem.

In summary:

1. The set of triangles ABC and DEF that does not contain enough information to prove that both triangles are congruent by any Congruence Theorem is in: Figure 3

2. The Congruence Theorem that can be used to justify why triangles ABC and ADC are congruent is: SAS Congruence Theorem.

Learn more here:

link

The picture that does not contain enough information to prove that ΔABC = ΔDEF is

(3) Picture (3)

Step-by-step explanation:

The given information in picture (3) is the Angle-Side-Side of ΔABC corresponds with the Angle-Side-Side of ΔDEF,

However, the condition of Angle-Side-Side of ΔABC, is not sufficient to prove that ΔABC is congruent to ΔDEF congruency because the length of the unknown side can have two possible values