Geometry proof help?

Question

sicklefirebolt · Answer

A student made the table shown below to prove that PQ is equal to RQ
Provide the missing statement and justification in the proof.
Using complete sentences, explain why the proof would not work without the missing step.

mathstudent55 · Answer

The last reason is CPCTC.
Do you know what that means?

sicklefirebolt · Answer

Corresponding parts of congruent triangles are congruent

mathstudent55 · Answer

Great.
If reason 9 mentions congruent triangles, what must there be in a statement before statement 9?

sicklefirebolt · Answer

i have no clue i'm so horrible at anything that has to do with proofs

mathstudent55 · Answer

Since reason 9 is using congruent triangles, there must be a statement before statement 9 that shows two triangles are congruent.

mathstudent55 · Answer

Since all statements from 1 to 7 are shown, and none of them are two congruent triangles, statement 8, the missing statement, must be that one triangle is congruent to another triangle.

sicklefirebolt · Answer

Okay...but what triangle is it? i'm so confused sorry

mathstudent55 · Answer

Let's look at the statements 1 through 7.

sicklefirebolt · Answer

Okay

mathstudent55 · Answer

SQ = TQ
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sicklefirebolt · Answer

Yeah I understand all the givens

mathstudent55 · Answer

m<RSQ = m<PTQ
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mathstudent55 · Answer

m<SQR = m<TQP
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