QUESTION IMAGE
Question
4.4 assignment
12 of 14
possible points: 0.53
decide whether enough information is given to prove that the triangles are congruent. if there is enough information, state the congruence
postulate or theorem you would use.
△abc and △adc
yes, sss
yes, sas
yes, hl
no
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english
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Step1: Analyze the given information
We have two triangles \( \triangle ABC \) and \( \triangle ADC \).
We know that \( AC = AC \) (common side).
From the figure, we have \( AB = AD \) (marked with one tick) and \( BC = DC \) (marked with one tick).
Step2: Apply the congruence postulate
The SSS (Side - Side - Side) congruence postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.
Here, \( AB = AD \), \( BC = DC \), and \( AC = AC \).
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Yes, SSS