Show:
Polygons
Parallelograms
Parallelogram Types
Kites and Trapezoids
BONUS
100

What is a regular polygon?

A shape that has congruent angles and sides.

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 kite
A quadrilateral with consecutive congruent sides.
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 a trapezoid
A quadrilateral with one set of parallel bases.
200

How do you find the exterior angle of a triangle?

Add the two remote interior angles to find the resulting exterior angle.

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 are other types of parallelograms?

rectangles, rhombi, and squares

300

What are the properties of a rectangle?

Properties of a parallelogram. Diagonals are congruent.

300

Properties of a kite

Diagonals are perpendicular and have one pair of congruent angles.

300

Find the interior and exterior sum of a 15-gon.

The interior sum is (15-2)180 = 2340 degrees.

The exterior sum is 360.

400

What is the difference between concave and convex?

Concave polygons cave in and convex polygons flex out.

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. Diagonals are perpendicular.

400

How to find the mid segment of a trapezoid?

Midsegment= (large side + small side)/2

400

Find the missing angle. Two remote interior angles are 46 and 67 degrees. What is the exterior angle of the triangle?

113 degrees

500

What is the Polygon Exterior Angle Theorem? How do you find one exterior angle of a regular polygon?

The sum of the exterior angles of a convex polygon is 360. Take 360 and divide by the number of sides to find one exterior angle.

500

How do you prove a quadrilateral is a parallelogram?

1.) Show opposite sides are parallel (Definition of parallelogram) 2.) Show that opposite sides are congruent 3.) Show that opposite angles are congruent 4.) Show that diagonals bisect each other

500

Definition of a square and its properties

A parallelogram with 4 congruent sides and 4 right angles. Diagonals are perpendicular. Each diagonal bisects a pair of opposite angles. Diagonals are congruent.

500

Definition and properties of an isosceles trapezoid

one set of parallel sides, 2 legs are congruent, Sets of base angles are congruent Diagonals are congruent

500

Find the value of x. Find all angles present in the triangle. Each angle is as follows 92, x + 43, and 2x - 15. 

The value of x is 20. 92, 63, and 25 degrees