Study your flashcards anywhere!
Download the official Cram app for free >
 Shuffle
Toggle OnToggle Off
 Alphabetize
Toggle OnToggle Off
 Front First
Toggle OnToggle Off
 Both Sides
Toggle OnToggle Off
 Read
Toggle OnToggle Off
How to study your flashcards.
Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key
Up/Down arrow keys: Flip the card between the front and back.down keyup key
H key: Show hint (3rd side).h key
A key: Read text to speech.a key
22 Cards in this Set
 Front
 Back
Parallelogram

A quadrilateral with both pairs of oppostie sides parallel


Opposite sides of parrallelograms...

are congruent


Opposite angles of a parallelogram....

are congruent


Diagonals of a parallelogram...

bisect eachother


If both pairs of opposite sides of a quadrilateral are congruent...

then the quadrilateral is a parallelogram


If one pair of opposite sides of a quadrilateral are both congruent and parallel...

then the quadrilateral is a parallelogram


If both pairs of opposite angles of a quadrilateral are congruent...

then the quadrilateral is a parallelogram


If the diagonals of a quadrilateral bisect each other...

then the quadrilateral is a parallelogram


5 ways to prove that a quadrilateral is a parallelogram

1. Show that both pairs of opposite sides are parallel
2. Show that both pairs of opposite sides are congruent 3. Show that one pair of opposite sides are both congruent and parallel 4. Show that both pairs of opposite angles are congruent 5. Show that the diagonals bisect each other 

If two lines are parallel...

then all points on one line are equidistant from the other line


If three parallel lines cut off congruent segments on one transversal...

then they cut off congruent segments on every transversal


A line that contains the midpoint of one side of a triangle and is parallel to another side...

passes through the midpoint of the third side


The segment that joins the midpoints of two sides of a triangle...

1. Is parallel to the third side
2. Is half as long as the third side 

Special parallelograms

Rectangle quadrilateral with four right angles...every rectangle is a parallelogram
Rhombus Quadrilateral with four congruent sides....every rhombus is a parallelogram Squares quadrilateral with four right angles and four congruent sides...every square is a parallelogram 

The diagonals of a rectangle...

are congruent


The diagonals of a rhombus....

are perpendicular


Each diagonal of a rhombus bisects...

two angles of a rhombus


The midpoint of the hypotenuse of a right triangle...

is equidistant from the three vertices


If an angle of a parallelogram is a right angle...

then the parallelogram is a rectangle


If two consecutive sides of a parallelogram are congruent...

then the parallelogram is a rhombus


Base angles of an isoscles triangle...

are congruent


The meadian of a trapazoid...

1. Is parallel to the bases
2. Has a length equal to the average of the base lengths 