Notes For March 26th

Theorem 8-17: If the diagonals of a parallelogram bisect the opposite angles of the parallelogram then the parallelogram is a rhombus

Summary Rhombi

1) A rhombus has all the properties of a parallelogram.

2) All sides are congruent

3) Diagonals are perpendicular

4)Diagonals bisect the angles of the rhombus

Summary Squares

1) A square has all the properties of a parallelogram

2) A square has all of the properties of the rectangle

3) A square has all of the properties of the rhombus




Trapezoid

What is a trapezoid?
A trapezoid is a quadrilateral with exactly one set of parallel sides

Trapezoid Bases: The parallel sides of the trapezoid.

Trapezoid Legs: The non-parallel sides of a trapezoid

Isosceles Trapezoid: If the legz of a trapezoid are congruent then the trapezoid is isoceles.

Median of a trapezoid- Is the segment that connects the medpoints of the legs of a trapezoid.

Theorems, Postulates, & Definitions

• Theorem 8-18: Both pairs of base angles of an isosceles trapezoid are congruent
• Theorem 8-19: The diagonals of an isosceles trapezoid are congruent.