Question

Match each statement to the reasons for the geometric proof. Part 3​

Answer 1

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Answer:

  4 1 5 3 6 2

Step-by-step explanation:

The general approach to this proof is to show the triangles created by the diagonal are congruent. Then, parts of those triangles (opposite sides) are congruent. The congruence of the triangles is shown by making use of the fact that alternate interior angles are congruent, and the diagonal is congruent to itself. Thus, you have two angles and the side between shown as congruent, and can invoke the ASA postulate.

The steps of the proof (1 to 6) are already in order. The task is to find the geometric relation the step is describing from the list on the left.

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Statements A to F on the left match with numbered statements 1 to 6 on the right as follows:

A - 4 (reflexive prop)

B - 1 (given)

C - 5 (ASA)

D - 3 (alt int angle)

E - 6 (the end point of the proof)

F - 2 (definition)