1.   Write a statement and reason for step 3.

Given: ABCD is a rectangle with diagonals
and
Prove:

   
   
    A. is a right triangle; Definition of right triangle
    B. ; Opposite sides of a parallelogram are congruent
    C. ; Opposite sides of a parallelogram are parallel
    D. is a right angle; Definition of a rectangle
    Hint

  2.   Complete step 4 of the proof.

Given: ABCD is a rectangle with diagonals
and
Prove:

   
   
    A. ; Definition of midpoint
    B. ; Opposite sides of a parallelogram are parallel
    C. and are complimentary angles; Definition of complimentary angles
    D. and are right angles; Definition of a rectangle
    Hint

  3.   What is the best statement for step 5?

Given: ABCD is a rectangle with diagonals
and
Prove:

   
   
    A. ; Definition of midpoint
    B. ; All right angles are congruent
    C. is a right triangle; Definition of a right triangle
    D. ; Opposite sides of a parallelogram are parallel
    Hint

  4.   Based upon steps 1-5, what is the best conclusion you can make for step 6? .

Given: ABCD is a rectangle with diagonals
and
Prove:

   
   
    A. and are right triangles; Definition of a right triangle
    B. and are right triangles; Definition of a right triangle
    C. ; SAS
    D. ; AAS
    Hint

  5.   If the seventh and final statement of the proof is , what reason can you give for making that statement?

Given: ABCD is a rectangle with diagonals
and
Prove:

   
    A. SSS
    B. CPCTC
    C. Definition of diagonals of parallelograms
    D. Hypotenuses of right triangles are congruent
    Hint



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