Angles of Polygons
What is the sum of the exterior angles of a polygon
360 Degrees
Parallelogram - is a _____________ with 2 pairs of opposite sides, therefore parallel
quadrilateral
What theorem proves that both pairs of opposite sides are parallel?
By Definition
A ______ is a parallelogram with four congruent sides and four right angles.
Square
An isosceles trapizoid is a type of trapezoid that has ______________.
Congruent Legs
What is the equation of the Polygon interior angles theorem?
(n-2)*180
What does the Parallelogram Opposite Angles Theorem prove?
If a quadrilateral is a parallelogram, then its opposite sides are congruent.
What theorem shows that both pairs of opposite angles are congruent?
Parallelogram Opposite Angles Converse
A _________ is a parallelogram with four right angles.
Rectangle
What does the Isosceles Trapezoid Base Angles Theorem Prove
If a trapezoid is isosceles, then each pair of base angles is congruent.
Find measure < A. ABCD is a parallelogram <A = X <B = 75 <C = 111 <D = 125
X = 49 Degrees
What does the Parallelogram Consecutive Angles Theorem prove?
If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.
What theorem shows that both pairs of opposite sides are congruent?
Parallelogram Opposite sides Converse
A _______ is a parallelogram with four congruent sides.
Rhombus
What does the Isosceles Trapezoid Base Angles Converse Prove
If a trapezoid has a pair of congruent base angles, then it is an isosceles trapezoid.
Find the sum of the interior angles of an 11-gon
1620 Degrees
What does the Parallelogram Diagonals Theorem prove?
If a quadrilateral is a parallelogram, then its diagonals bisect eachother.
What theorem shows that the diagonals bisect each other?
Parallelogram Diagonals Converse
A parallelogram is a rectangle if and only if its _________ are congruent.
Diagonals
What does the Isosceles Trapezoid Diagonals Theorem Prove
A trapezoid is isosceles if and only if its diagonals are congruent
Find measure < P. PQRST <P = X <Q = 156 <R = 85 <S = 103 <T = 103
m<P = 93 Degrees
Three vertices of parallelogram WXYZ are W(-1,-3), X(-3,2), and Z(4,-4). Find Y
Y(2,1)
What theorem shows that one pair of opposite sides are congruent and parallel?
Opposite Sides Parellel and Congruent Theorem
A parallelogram is a rhombus if and only if its _________ are perpendicular.
Diagonals
Give the most specific name for RSTU. RS=50 ST=50 TU=51 UR=51
Kite by definition