Download TRAPEZOID PROOFS

TRAPEZOID PROOFS
GEOMETRY
Quadrilaterals
the statements of the proof based on the
13.Write
markings in each diagram. Number the diagrams to
match the steps. Then justify each statement with the
proper reason in the proof.
Z
O
D
NAME_________________________
DATE __________ Per.___________
If a trapezoid is isosceles,
then it has congruent diagonals.
STATEMENTS
1) ____________________
JUSTIFICATIONS
____________________
2) ____________________
Def. Isosceles Trapezoid
3) ____________________
Isosceles Trapezoid Thm.
4) ____________________
____________________
5) ____________________
____________________
6) ____________________
____________________
I
Z
O
D
I
Z
O
D
14.
Z
D
I
I
Z
I
Z
THEOREM: The consecutive angles between parallel lines in a trapezoid are supplementary.
GIVEN: Trapezoid TRAP
STATEMENTS
REASONS
R
P
A
PROVE:
∠__ and ∠__ are supplementary
and ∠R and ∠A are __________
COROLLARY: The opposite angles of an isosceles trapezoid are supplementary.
GIVEN: Isosceles Trapezoid ZOID
STATEMENTS
REASONS
Z
b
D
a
a
O
b
I
PROVE:
∠Z and ∠I are _____________ &
∠__ and ∠__ are supplementary
O
D
D
T
15.
O
O
I