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22 Cards in this Set

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  • 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