Polygons
Parallelograms
Parallelogram Types
Kites and 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 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
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
How do you prove triangles are congruent?
SSS SAS AAS HL ASA
300
What are the properties of a rectangle?
Properties of a parallelogram. Diagonals are congruent.
300
Properties of a kite
Diagonals are perpendicular Has one pair of congruent angles
300
Definition of rhombus, rectangle, square, kite, and trapezoid
Rhombus: A polygon with all 4 sides being congruent Rectangle: A parallelogram with 4 right angles. Square: A parallelogram with 4 congruent sides and 4 right angles. Kite: A quadrilateral with consecutive congruent sides. Trapezoid: A quadrilateral with one set of parallel bases.
400
What is the difference between concave and convex?
Concave polygons cave in and convex polygons cave 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.
400
How to find the mid segment of a trapezoid
Midsegment= (side + side)/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
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 one pair of sides are congruent and parallel (Theorem 8.9) 5.) Show that diagonals bisect each other
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
Definition and properties of an isosceles trapezoid
2 legs are congruent Sets of base angles are congruent Diagonals are congruent
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 one pair of sides are congruent and parallel (Theorem 8.9) 5.) Show that diagonals bisect each other
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