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22 Cards in this Set
- Front
- Back
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Parallelogram
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A quadrilateral with both pairs of oppostie sides parallel
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Opposite sides of parrallelograms...
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are congruent
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Opposite angles of a parallelogram....
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are congruent
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Diagonals of a parallelogram...
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bisect eachother
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If both pairs of opposite sides of a quadrilateral are congruent...
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then the quadrilateral is a parallelogram
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If one pair of opposite sides of a quadrilateral are both congruent and parallel...
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then the quadrilateral is a parallelogram
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If both pairs of opposite angles of a quadrilateral are congruent...
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then the quadrilateral is a parallelogram
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If the diagonals of a quadrilateral bisect each other...
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then the quadrilateral is a parallelogram
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5 ways to prove that a quadrilateral is a parallelogram
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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 |
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If two lines are parallel...
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then all points on one line are equidistant from the other line
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If three parallel lines cut off congruent segments on one transversal...
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then they cut off congruent segments on every transversal
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A line that contains the midpoint of one side of a triangle and is parallel to another side...
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passes through the midpoint of the third side
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The segment that joins the midpoints of two sides of a triangle...
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1. Is parallel to the third side
2. Is half as long as the third side |
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Special parallelograms
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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 |
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The diagonals of a rectangle...
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are congruent
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The diagonals of a rhombus....
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are perpendicular
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Each diagonal of a rhombus bisects...
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two angles of a rhombus
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The midpoint of the hypotenuse of a right triangle...
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is equidistant from the three vertices
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If an angle of a parallelogram is a right angle...
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then the parallelogram is a rectangle
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If two consecutive sides of a parallelogram are congruent...
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then the parallelogram is a rhombus
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Base angles of an isoscles triangle...
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are congruent
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The meadian of a trapazoid...
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1. Is parallel to the bases
2. Has a length equal to the average of the base lengths |
