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What are the missing proof Reasons?

A) Opposite sides of a parallelogram are congruent.
B) The Reflexive Property of Equality.
C) Vertical Angles Congruence Theorem.
D) Definition of a Rhombus, all sides are congruent.
E) C.P.C.T.C. (Corresponding Parts of Congruent Triangles are Congruent).
F) Alternate Interior Angles Congruence Theorem.
G) Diagonals in a parallelogram bisect each other.

1 Answer

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Final answer:

The missing proof reasons are used in mathematical geometry to prove various properties and relationships between geometric shapes and angles.

Step-by-step explanation:

The missing proof reasons are:

  1. A) Opposite sides of a parallelogram are congruent.
  2. B) The Reflexive Property of Equality.
  3. C) Vertical Angles Congruence Theorem.
  4. D) Definition of a Rhombus, all sides are congruent.
  5. E) C.P.C.T.C. (Corresponding Parts of Congruent Triangles are Congruent).
  6. F) Alternate Interior Angles Congruence Theorem.
  7. G) Diagonals in a parallelogram bisect each other.

These proof reasons are used in mathematical geometry to prove various properties and relationships between geometric shapes and angles. They provide a logical justification for the conclusions made in geometric proofs.

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