Quiz 6-1 to 6-5

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Square

A parallelogram with four congruent sides and four right angles.

Rhombus

A parallelogram with four congruent sides.

Rectangle

A parallelogram with four right angles.

Parallelogram

A quadrilateral with both pairs of opposite sides parallel.

Trapezoid

A quadrilateral with exactly one pair of parallel sides.

Isosceles Trapezoid

A trapezoid whose nonparallel opposite sides are congruent.

Theorem 6-9

Each diagonal of a rhombus bisects two angles of the rhombus.

Theorem 6-6

If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Theorem 6-5

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Theorem 6-12

If one diagonal of a parallelogram bisects two angles of the parallelogram, then the parallelogram is a rhombus.

Theorem 6-8

If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram.

Theorem 6-14

If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

Theorem 6-13

If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

Theorem 6-7

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

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.

Theorem 6-2

Opposite angles of a parallelogram are congruent.

Theorem 6-1

Opposite sides of a parallelogram are congruent.

Theorem 6-15

The base angles of an isosceles trapezoid are congruent.

Theorem 6-17

The diagonals of a kite are perpendicular.

Theorem 6-3

The diagonals of a parallelogram bisect each other.

Theorem 6-11

The diagonals of a rectangle are congruent.

Theorem 6-10

The diagonals of a rhombus are perpendicular.

Theorem 6-16

The diagonals of an isosceles trapezoid are congruent.

Base Angles (Trapezoid)

Two angles that share a base of a trapezoid.


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