unit 5 stuff idk man Flashcards
(33 cards)
Parallelogram
A quadrilateral w/ both pairs of opp. sides parallel
If a quadrilateral is a parallelogram (1)
Then the opp. sides are congruent
If a quadrilateral is a parallelogram (2)
Then opp. angles are congruent
If a quadrilateral is a parallelogram (3)
Then its diagonals bisect each other
If both pairs of opp. sides of a quad. are congruent,
Then the quad. is a parallelogram
If both pairs of opp. angles of a quad. are congruent
Then the quad. is a parallelogram
If the diagonals of a quad. bisect each other,
Then the quad. is a parallelogram
If one pair of opp. sides of a quad are both congruent and parallel,
Then the quad. is a parallelogram
If two lines are parallel
Then all points on one line are equidistant from the other line
If 3 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 is (2 THINGS)
- Parallel to the third side
- Is half as long as the third side
Rectangle (DEF)
A quad. with 4 right angles
Rhombus (DEF)
A quad. with 4 congruent sides
Square (DEF)
A quad. with 4 right angles and 4 congruent sides
The diagonals of a rectangle-
-are congruent
The diagonals of a rhombus-
-are perpendicular
Each diagonal of a rhombus bisects-
-two angles of the rhombus
The diagonals of a parallelogram-
-bisect each other
The midpoint of the hypotenuse of a right triangle is-
-equidistant from the 3 vertices
If an angle of a parallelogram is a right angle,
Then the parallelogram is a rectangle (HAS to be a parallelogram)
If 2 consecutive sides of a parallelogram are congruent,
Then the parallelogram is a rhombus
EX: In parallelogram ABCD, the diagonals meet at point E and AE=6, and BE+6. IS ABCD a rectangle?
Yes, because a parallelogram w/ congruent diagonals mean its a rectangle
ES: You cut a parallelogram shaped quilt piece and measure the diagonals to be congruent. What is the shape?
Rectangle because the diagonals of the parallelogram are congruent