Properties of Parallelograms

OBJECTIVE

•To use the properties of sides, angles, diagonals,
and transversals in quadrilaterals to find
missing values, side and diagonal lengths,
and angle measures.

PROPERTIES: SIDES AND ANGLES
•Theorem 6-1

PROPERTIES: SIDES AND ANGLES

• CONSECUTIVE ANGLES of a parallelogram are

SUPPLEMENTARY.

• Consecutive angles are angles that share a SIDE.

PROPERTIES: SIDES AND ANGLES

• Theorem 6-2

PROPERTIES: SIDES AND ANGLES

• Example 2

PROPERTIES: DIAGONALS AND
TRANSVERSALS

• Theorem 6-3

• The DIAGONALS of parallelograms BISECT each

other.

PROPERTIES: DIAGONALS AND
TRANSVERSALS

• Example 3

• Remember: To solve a system, ISOLATE one

variable. Then, SUBSTITUTE into the other to
solve.

PROPERTIES: DIAGONALS AND
TRANSVERSALS

• Theorem 6-4

• If three (or more) parallel lines cut off CONGRUENT

segments on one TRANSVERSAL, then they cut off
CONGRUENT segments
on every TRANSVERSAL.