Chapter 6 Flashcards
A parallogram with 4 congruent sides
Rhombus
Quadrilateral with both pair of opposite sides parelel
Parallelogram
Parrellologram with four right angles
Rectangle
Parrellologram with four congruent sides and four congruent right angles
Square
Quad. With two pairs of adjacent sides congruent and no opposite sides congruent
Kite
Quad. With exactly one pair of parallel sides
Trapezoid
Trapezoid whose non parelel sides are congruent
Isosceles trapezoid
Opposite sides of a parellolgram are congruent
Thereom 6-1
Angles of a polygon that share a side are
Consecutive angles
Opposite angles of a parallelogram are congruent
Theorem 6-2
Diagonals of a parallelogram bisect each other
Thereom 6-3
If 3 or more parelel lines cut off congruent segments on one transversal then they cut off congruent segments on every transversal
Theorem 6-4
If both pairs of opposite sides of a quadrilateral are congruent then the quad. Is a parallelogram
Theorem 6-5
If both pairs of opposite angles of a quad. Are congruent then the quad. Is a parellolgram
Theorem 6-6
If the diagonals of a quad. Bisect each other the the quad . Is a parrel.
Theorem 6-7
If one pair of opposite sides of a quad. Is both congruent and parallel then the quad is a parallelogram
Theorem 6-8
Each diagonal of a rhombus bisects two angles of a rhombus
Theorem 6-9
The diagonals of a rhombus are perpindicular
Theorem 6-10
Diagonals of a rectangle are congruent
Theorem 6-11
If one diagonal of a parallelogram bisects two angles of the parallelogram the the parallelogram is a rhombus
Theorem 6-12
If the diagonals of a parellolgram are perpindicular the the parallelogram is a rhombus
Theorem 6-13
If the diagonals of a parallelogram are congruent the the parallelogram is a rectAngle
Theorem 6-14
The base angles of an isosceles trapezoid is congruent
Theorem 6-15
The diagnols of an isosceles trapezoid are congruent
Theorem 6-16
The diagonals of a kite are perpindicular
Theorem 6-17
Segment that joins the midpoints of a nonparallel opposite sides
Mid segment of a trapezoid
1 the midsegment of a trapezoid is parallel to the bases
2 the length of the midsegment of a trapezoid is half the sum of the lengths of the bases
Trapezoid midsegment thereom