Term
| Theorem 5.1 (Don't call it this!) |
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Definition
| Opposite sides of a parallelogram are congruent. |
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Term
| Theorem 5.2 (Don't call it this!) |
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Definition
| Opposite angles of a parallelogram are congruent. |
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Term
| Theorem 5.3 (Don't call it this!) |
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Definition
| Diagonals of a parallelogram bisect each other. |
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Term
| Theorem 5.4 (Don't call it this!) |
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Definition
| If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. |
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Term
| Theorem 5.5 (Don't call it this!) |
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Definition
| If one pair of opposite sides of a quadrilateral are both congruent and parallel, then the quadrilateral is a parallelogram. |
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Term
| Theorem 5.6 (Don't call it this!) |
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Definition
| If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram. |
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Term
| Theorem 5.7 (Don't call it this!) |
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Definition
| If the diagonals of a quadrilateral bisect each other, thne the quadrilateral is a parallelogram. |
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Term
| Theorem 5.8 (Don't call it this!) |
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Definition
| If two lines are parallel, then all points on one line are equidistant from the other line. |
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Term
| Theorem 5.9 (Don't call it this!) |
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Definition
| If three parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal. |
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Term
| Theorem 5.10 (Don't call it this!) |
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Definition
| 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. |
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Term
| Theorem 5.11 (Don't call it this!) |
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Definition
The segment that joins the midpoints of two sides of a triangle is
1: parallel to the third side.
2: half as long as the third side. |
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Term
| Theorem 5.12 (Don't call it this!) |
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Definition
| The diagonals of a rectangle are congruent. |
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Term
| Theorem 5.13 (Don't call it this!) |
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Definition
| The diagonals of a rhombus are perpendicular. |
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Term
| Theorem 5.14 (Don't call it this!) |
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Definition
| Each diagonal of a rhombus bisects two angles of the rhombus. |
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Term
| Theorem 5.15 (Don't call it this!) |
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Definition
| The midpoint of the hypotenuse of a right triangle is equidistant from the three vertices. |
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Term
| Theorem 5.16 (Don't call it this!) |
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Definition
| If an angle of a parallelogram is a right angle, then the parallelogram is a rectangle. |
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Term
| Theorem 5.17 (Don't call it this!) |
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Definition
| If two consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus. |
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Term
| Theorem 5.18 (Don't call it this!) |
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Definition
| Base angles of an isosceles trapezoid are congruent. |
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Term
| Theorem 5.19 (Don't call it this!) |
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Definition
The median of a trapezoid:
1: is parallel to the base.
2: has a length equal to the average of the base lengths. |
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Term
| Definition of a rectangle |
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Definition
| A quadrilateral with four right angles. |
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Term
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Definition
| A quadrilateral with four congruent sides. |
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Term
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Definition
| A quadrilateral with four right angles and four congruent sides. |
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Term
| Definition of a trapezoid |
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Definition
| A quadrilateral with exactly one pair of parallel sides. |
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Term
| Definition of an isosceles trapezoid |
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Definition
| A trapezoid with congruent legs. |
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Term
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Definition
| A quadrilateral that has two pairs of congruent sides, but opposite sides are not congruent. |
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