Parallelograms and Point Symmetry

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Transcript Parallelograms and Point Symmetry

Parallelograms
Parallelogram - A quadrilateral with both
pairs of opposite sides parallel.
Theorem 8.3
• Opposite sides of a parallelogram are
congruent.
Theorem 8.4
• Opposite angles of a parallelogram are
congruent.
Parallelograms
Theorem 8.5
• Consecutive angles in a parallelogram are supplementary.
Theorem 8.6
• If a parallelogram has one right angle, it has four right
angles.
Theorem 8.7
• The diagonals of a parallelogram bisect each other.
Theorem 8.8
• Each diagonal of a parallelogram separates the
parallelogram into two congruent triangles.
ABCD is a parallelogram.
Answer:
MULTIPLE-CHOICE TEST ITEM
What are the coordinates of the intersection of the
diagonals of parallelogram LMNO, with vertices
L(0, –3), M(–2, 1), N(1, 5), O(3, 1)?
A
Answer: B
B
C
D