Show:
Polygons
Parallelograms
Parallelogram Types
Trapezoids
BONUS
100
What is a regular polygon?
A polygon that is equiangular and equilateral.
100
Definition of a quadrilateral
A polygon with 4 sides
100
Definition of a rhombus
A polygon with all 4 sides being congruent
100

Definition of a trapezoid

A quadrilateral with only one pair of parallel sides OR a quadrilateral or 4 sided figure with parallel bases.

100

What is the Polygon Interior Angle Theorem?

The sum of the the interior angles of a convex n-gon is (n-2)180

200
What is a diagonal?
A segment that joins two non-consecutive vertices in a polygon
200
Definition of a parallelogram
A 4 sided polygon whose sides are parallel.
200
Definition of a rectangle
A parallelogram with 4 right angles.
200

Definition of an isosceles trapezoid

A quadrilateral with one set of parallel bases and two congruent legs.  

200
What is the Polygon Exterior Angle Theorem? What is the Corollary Theorem?
The sum of the exterior angles of a convex polygon is 360. The sum of the measures of the interior angles of a quadrilateral is 360.
300
What is the Polygon Interior Angle Theorem?
The sum of the the interior angles of a convex n-gon is (n-2)180
300

What parallelogram has all congruent sides and 4 right angles?

square

300
What are the properties of a rectangle?
Properties of a parallelogram. Diagonals are congruent.
300

What is the relationship between an isosceles triangle's diagonals?

The diagonals are congruent.

300

What are 3 special parallelograms?

Rhombus, square and rectangle

400

What is the difference between a trapezoid and an isosceles trapezoid ?

A trapezoid has doesn't have congruent diagonals or congruent legs; an isosceles trapezoid does.

400
Properties of a parallelogram
1.) Opposite sides are congruent 2.) Opposite angles are congruent 3.) Diagonals bisect 4.) Consecutive angles are supplementary
400
What are the properties of a rhombus?
Properties of a parallelogram. Diagonals are perpendicular. Each diagonal bisects a pair of opposite angles.
400

What is the formula for how to find the midsegment of a trapezoid?

Midsegment= (base1 + base2)/2

400

Properties of a parallelogram

1.) Opposite sides are congruent 2.) Opposite angles are congruent 3.) Diagonals bisect 4.) Consecutive angles are supplementary

500

What is the Polygon Exterior Angle Theorem? What is the Corollary Theorem?

The sum of the exterior angles of a convex polygon is 360. The sum of the measures of the interior angles of a quadrilateral is 360.

500

What kind of parallelogram has the following properties:

opposite sides congruent and parallel

4 right angles

diagonals are congruent

rectangle

500
Definition of a square and its properties
A parallelogram with 4 congruent sides and 4 right angles. Properties of a parallelogram. Diagonals are perpendicular. Each diagonal bisects a pair of opposite angles. Diagonals are congruent.
500

What are characteristics of an isosceles triangle in regards to the bases, the legs, the base angles, and the diagonals?

legs are congruent

base angles are congruent

diagonals are congruent

500

What is one way to prove that a quadrilateral is a parallelogram?

Show that the slopes of opposite sides are congruent.

Show that the length of opposite sides are congruent.

(I will accept either one of these answers.)