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.
is a right angle; Definition of a rectangle
D.
; Opposite sides of a parallelogram are parallel
Hint
2.
Complete step 4 of the proof.
Given:
ABCD
is a rectangle with diagonals
and
Prove:
A.
and
are complimentary angles; Definition of complimentary angles
B.
; Definition of midpoint
C.
and
are right angles; Definition of a rectangle
D.
; Opposite sides of a parallelogram are parallel
Hint
3.
What is the best statement for step 5?
Given:
ABCD
is a rectangle with diagonals
and
Prove:
A.
; All right angles are congruent
B.
is a right triangle; Definition of a right triangle
C.
; Opposite sides of a parallelogram are parallel
D.
; Definition of midpoint
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.
; AAS
B.
; SAS
C.
and
are right triangles; Definition of a right triangle
D.
and
are right triangles; Definition of a right triangle
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.
CPCTC
B.
Hypotenuses of right triangles are congruent
C.
SSS
D.
Definition of diagonals of parallelograms
Hint