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For △PQR and △EFD shown, which of the following could be steps to show that the SSS congruence criteria follows from the definition of congruence in terms of rigid motion? Select two correct answers.

A.Translate EFD so that point F maps to point Q.
B. Rotate (Triangle)E'F'D' so that D' E maps to PR.
C. Reflect (Triangle) E"F"D" across PR so that E" F" maps to QR.
D. Translate (triangle) EFD so that point D maps to point P.
E. Rotate (triangle) E'F'D' so that D'F' maps to PQ.

For △PQR and △EFD shown, which of the following could be steps to show that the SSS-example-1

2 Answers

2 votes

Answer:

It is B and A

Explanation:

I just took the test and got it right

User Sajith Herath
by
4.4k points
6 votes

Answer:

Letter B is the answer.

Explanation:

B is the answer because you would want to rotate figure EFD to PQR, where line DE would line up with PR.

A is not correct because a translation would not line up the lines or points. Triangle DEF is facing in a different direction as PQR.

C is not correct because it is only being reflected once and the line upon where it is being reflected wouldn't match up with the triangle PQR. EF would not be able to mapped onto line QR because of the line it is being reflected upon.

D is not correct for the same reason as A, which is because a translation would not line up the lines or points. Triangle DEF is facing in a different direction as PQR.

E gets close because of it being rotated, but it is incorrect since line DF wouldn't match up with line PQ. PQ is only congruent to line EF.

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User Aelguindy
by
4.8k points