Polygons
What is a regular polygon?
A shape that has congruent angles and sides.
What is the Polygon Interior Angle Theorem?
The sum of the the interior angles of a convex n-gon is (n-2)180
How do you find the exterior angle of a triangle?
Add the two remote interior angles to find the resulting exterior angle.
What are other types of parallelograms?
rectangles, rhombi, and squares
What are the properties of a rectangle?
Properties of a parallelogram. Diagonals are congruent.
Properties of a kite
Diagonals are perpendicular and have one pair of congruent angles.
Find the interior and exterior sum of a 15-gon.
The interior sum is (15-2)180 = 2340 degrees.
The exterior sum is 360.
What is the difference between concave and convex?
Concave polygons cave in and convex polygons flex out.
Properties of a parallelogram
1.) Opposite sides are congruent 2.) Opposite angles are congruent 3.) Diagonals bisect 4.) Consecutive angles are supplementary
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.
How to find the mid segment of a trapezoid?
Midsegment= (large side + small side)/2
Find the missing angle. Two remote interior angles are 46 and 67 degrees. What is the exterior angle of the triangle?
113 degrees
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.
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
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.
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
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