1. Chapter 7 Review

2. Interior Angles Theorem:
The sum of the measures of the interior angles of a convex n-gon is
The measure of each interior angle of a regular n-gon is

3. Exterior Angles Theorem:
The sum of the measures of the exterior angles of a convex polygon, one at each vertex, is 360˚

4. Parallelograms Opposite sides are congruent.
Opposite angles are congruent.
Both pairs of opposite sides are parallel.
Consecutive sides are supplementary.
Diagonals bisect each other.

5. Rhombus A parallelogram with four congruent sides.
Diagonals are perpendicular.
Each diagonal bisects a pair of opposite angles.

6. Rectangle A parallelogram with four right angles.
Diagonals are congruent.

7. Square
A parallelogram with four congruent sides and four right angles.
Must be a rectangle and rhombus

8. Kites
1) a quadrilateral with exactly two pairs of adjacent congruent sides
Kite
2) The diagonals of a kite are perpendicular
3) Exactly one pair of opposite angles that are congruent (short diagonal)
4) The longer diagonals bisects the shorter diagonal.

9. 1) a quadrilateral with exactly one pair of parallel sides.
Base
Leg
Leg
Base
How many sets of parallel sides?
Is it a parallelogram?
1) a quadrilateral with exactly one pair of parallel sides.
2) The parallel sides are the bases.
3)The nonparallel sides are the legs.

10. Additionally, If we have an isosceles triangle: 2) 3)
1) A trapezoid is isosceles if the legs are congruent.
Additionally, If we have an isosceles triangle: 2) 3)
Each pair of base angles are congruent
The diagonals are congruent

11. Trapezoid Midsegment TheoremB C A D X Y
The midsegment is a segment
parallel to each base at the legs midpoint.
Formula: ½(B1+B2)