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58 Cards in this Set
 Front
 Back
PoR #2
Diagonals are _____ 
Congruent


Alternate interior angles congruent imply

Parallel lines


Prove that a figure is a square

4 right angles (if it's a quad)
Parallelogram with 1 right angle Parallelogam with congruent diagonals 

The measure of the exterior angle of a triangle is greater than

the measure of either remote interior angle


Prove that a quadrilateral is a parallelogram.

Both opposite pairs parallel
Both opposite pairs congruent One pair of sides parallel and congruent Diagonals bisect each other Opposite angles congruent 

PoIT #2
Definition 2 (of trapezoid) 
Bases are parallel


Prove that a quadrilateral is a rhombus.

Quad with all sides congruent
Parallelogram with 2 adjacent sides congruent Diagonals perp. bisectors of each other Parallelogram with one diagonal bisecting the angles 

Alternate exterior angles congruent imply

parallel lines


Proce that a quad is a kite.

2 pairs of congruent disjoint sides
Quad with one diagonal perp. bisector of the other 

Corresponding angles congruent imply

parallel lines


Prove that a quadrilateral is a square.

If it is a rectangle and a rhombus.


Sameside exterior angles supplimentary imply

Parallel lines


Prove that a quadrilateral is an isoceles trapezoid.

If it's a trapezoid with non parallel sides congruent
If the lower/upper base angles are congruent If the diagonals are congruent 

Sameside interior angles supplimentary imply

parallel lines


Parallel lines imply alternate interior angles

congruent


Parallel lines imply alternate exterior angles

congruent


Parallel lines imply sameside interior angles

supplimentary


PoIT #4
1 ____ and 1 ____ base ___ ____ 
Upper; lower; angle supplimentary


PoP #2
Opposite sides are___ 
congruent


lower base angles

the two angles situated on the lower base of a trapezoid


Properties of an Isoceles Trapezoid

1 Legs are congruent
2 Bases are parallel 3 Upper and lower base angles are congruent 4 1 lower and 1 upper base angle suppl. 5 diagonals congruent 

Parallel lines imply sameside exterior angles

supplimentary


PoP #1
Definition 
Opposite sides parallel


Properties of a Rhombus

15 Parallelograms
8 all sides congruent (definition) 9 Diagonals bisect the angles 10 Diagonals are perp. bis. of each other 11 Diagonals form 4 congruent right triangles 

Find the number of vertices and diagonals in a 20sided figure

203= 17, the number of vertices
20 times 17=340, divided by 2=170, the number of diagonals 

PoR #2
Diagonals bisect the ___ 
angles of the rhombus


Terms: diagonal

any segment that connects two nonconsecutive vertices of the polygon


PoP #4
Consecutive angles ____ 
Supplimentary


Transitive Property of Parallel Lines

if 2 lines are parallel to a third line, they're parallel to each other.


Coplanar lines perpendicular to a third line imply

Parallel lines


rectangle

parallelogram with all angles right angles


PoP #5
Diagonals _________ 
bisect each other


Properties of a Kite

1 2 pairs of congruent disjoint sides
2 One pair of congruent angles 3 1 diagonal is perp. bis. of the other 4 1 diagonal bisects the angles 

Parallel postulate

Through a point on a line there is exactly one parallel to the given line


quadrilateral

4sided polygon


PoIT #1
Definition 1 
both legs congruent


PoR #4
Diagonals form 4 ____ 
Congruent right triangles


Properties of a Rectangle

15 Parallelograms
6 All angles right angles 7 Diagonals are congruent 

PoRh #3
Diagonals are ___ of each other 
Perpendicular bisectors


parallelogram

a quadrilateral in which both pairs of opposite sides are parallel


PoR #1
All angles _____ 
Right angles


Parallel lines imply corresponding angles

congruent


Properties of a Parallelogram

1 Opposite sides parallel (definition)
2 Opp. sides congruent 3 Opp. angles congruent 4 Consecutive angles supplimentary 5 Diagonals bisect each other 

PoK #3
1 diagonal is _____ of the other 
Perpendicular bisector


PoIT #5
Diagonals ____ 
congruent


PoK #1
Definition 
Quadrilateral with two pairs of congruent disjoint sides


rhombus

a parallelogram in which at least two consecutive sides are congruent


square

a parallelogram that is both a rectangle and a rhombus


PoRh #1
Definition 
Parallelogram w/ all sides congruent


kite

quadrilateral in which two pairs of disjoint sides are congruent


Properties of a Square

Everything true about parallelograms, rhombuses, and rectangles=true about squares


PoIT #3
___ and ____ base angles ____ 
Upper; lower; congruent


trapezoid

a quadrilateral with exactly one pair of parallel sides


bases

the parallel sides of a trapezoid


PoP #3
Opposite angles ____ 
Congruent


isoceles trapezoid

a trapezoid in which the two legs are congruent


PoK #2
One pair of ____ 
Congruent angles


PoK #4
1 diagonal _________ 
bisects the angles
