Question
Using the AAS Congruence Theorem, what other information proves ΔBIG≅ΔCOW
?
(1 point)
Responses
∠I≅∠O
angle upper I congruent to angle upper O
BI¯¯¯¯¯¯≅CO¯¯¯¯¯¯¯¯
Modifying above upper B upper I with bar congruent to Modifying above upper C upper O with bar
GB¯¯¯¯¯¯¯¯≅WC¯¯¯¯¯¯¯¯¯
Modifying above upper G upper B with bar congruent to Modifying above upper W upper C with bar
BG¯¯¯¯¯¯¯¯≅CW¯¯¯¯¯¯¯¯¯
Modifying above upper B upper G with bar congruent to Modifying above upper C upper W with bar
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?
(1 point)
Responses
∠I≅∠O
angle upper I congruent to angle upper O
BI¯¯¯¯¯¯≅CO¯¯¯¯¯¯¯¯
Modifying above upper B upper I with bar congruent to Modifying above upper C upper O with bar
GB¯¯¯¯¯¯¯¯≅WC¯¯¯¯¯¯¯¯¯
Modifying above upper G upper B with bar congruent to Modifying above upper W upper C with bar
BG¯¯¯¯¯¯¯¯≅CW¯¯¯¯¯¯¯¯¯
Modifying above upper B upper G with bar congruent to Modifying above upper C upper W with bar
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Answers
GPT-4o mini
To prove that triangles ΔBIG and ΔCOW are congruent using the AAS (Angle-Angle-Side) Congruence Theorem, you need two angles and the non-included side of one triangle to be congruent to the corresponding angles and side of the other triangle.
From the options provided, the information that would support the AAS theorem is:
**∠I ≅ ∠O** (angle upper I congruent to angle upper O)
This congruence of angles, combined with a congruent side from the triangle (for example, **BI ≅ CO**) would lead to the conclusion that ΔBIG≅ΔCOW using the AAS theorem.
Hence,**∠I ≅ ∠O** is the correct choice to prove ΔBIG ≅ ΔCOW with AAS.
From the options provided, the information that would support the AAS theorem is:
**∠I ≅ ∠O** (angle upper I congruent to angle upper O)
This congruence of angles, combined with a congruent side from the triangle (for example, **BI ≅ CO**) would lead to the conclusion that ΔBIG≅ΔCOW using the AAS theorem.
Hence,**∠I ≅ ∠O** is the correct choice to prove ΔBIG ≅ ΔCOW with AAS.