Geometry Quadrilaterals and Other Polygons
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What is the sum of the interior angles in a polygon?

What is the measure of an angle in a regular polygon?

What is the sum of the exterior anlges of a polygon?
360

What is the measure of an exterior angle in a regular polygon?

What are some properties of all parallelograms?
 Opposite sides are congruent
 Opposite angles are congruent
 The consecutive angles are supplemtary
 The diagonlas bisect each other
 Opposite sides are paralell

How can you prove a quadrilateral to be a parallelogram?
 Opposite sides are congruent
 Opposite angles are congruent
 One pair of opposite sides is both parallel and congruent
 Diagnols bisect each other

What is a rhombus?
A parallelogram with four congruent sides.

How do you prove a rhombus?
 All four sides are congruent (DO not need to prove that it is a parallelogram)
 Prove that it is a parallelogram with two adjacent sides congruent.
 Prove that it is a parallologram and its dignols are perpindicular.
 Prove that it is a parallelogram with diagnols that bisect each other.

What is a rectangle?
A parallelogram with four right angles.

How can you prove a rectangle?
 Four right angles (without proving it a parallelogram)
 Prove that it is a parallelogram with one right angle/two perpindicular lines.
 Prove that it is a prallelogram and diagnols are congruent.

What is a square?
A parallelogram with four right angles and four congruent sides.

How do you prove a square?
 Prove that it has all of the qualities of BOTH a rectangle and a rhombus.
 It must contain four right angles, and four congruent sides.

What is a trapezoid?
A quadrilaterla with exactly one pair of parallel bases sides.

What is an isosceles trapezoid?
A trapezoid with congurent base angles.

How do you prove a trapezoid?
Find one pair of opposite parallel sides, and find one pair opposite pair to not be congruent.

How can you prove an isosceles trapezoid?
 Prove that it is a trapezoid with two pairs of congruent angles.
 Find that the it is a trapezoid and that legs are congruent.
 Find that it is a trapezoid and that the dianols are congruent.

What is the midsegment of a trapezoid?
A segment that connects the midpoints of the legs of a triangle.

What is important about the midsegment of a trapezoid?
It is parallel to the bases and is the the average of the two bases.

What is a kite?
A quadrilateral with two pairs of congruent sides where the opposite sides are NOT congruent.

What do you know about kites?
 Their diagnols are perpindicular.
 Their opposite angles are congruent.