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What is the first error Jordy made in his proof?

Choose 1 answer:
Jordy used an invalid reason to justify the congruence of a pair of sides or angles.
Jordy only established some of the necessary conditions for a congruence criterion.
Jordy established all necessary conditions, but then used an inappropriate congruence criterion.
Jordy used a criterion that does not guarantee congruence.

What is the first error Jordy made in his proof? Choose 1 answer: Jordy used an invalid-example-1
User Hellozimi
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Answer: Jordy used a criterion that does not guarentee congruence

Step-by-step explanation: Khan Academy

User Lolix
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Answer:

D: Jordy used a criterion that does not guarantee congruence.

Explanation:

Looking at the various steps, in step five, it says;

ΔABE ≈ ΔBCD

The reason for that is given as;

Angle - Angle - Angle congruence

Now, in test for congruence, we use any of the following criteria;

SSS: Side - Side - Side

SAS: Side - Angle - Side

ASA: Angle - Side - Angle

AAS: Angle - Angle - Side

RHS: Right angle - Hypotenuse - Side

Now, AAA was used and it's not part of the criteria to be used for congruence.

AAA is not used because it's possible for 3 angles to be equal and yet the triangles not congruent.

Thus, we can conclude that Jordy used a criterion that does not guarantee congruence.

User Luis Medina
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