Term
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Definition
| if an angle is formed by a side of a triangle that has been extended, and is supplementary to the adjacent interior angle, then it is an exterior angle. |
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Term
| Thm: The measure of an exterior angle of a triangle |
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Definition
| is greater than the measure of either remote interior angle |
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Term
| Thm: If two lines are cut by a transversal such that two alternate interior angles are congruent, |
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Definition
| then the lines are parallel. |
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Term
| Thm: If two lines are cut by a transversal such that two alternate exterior angles are congruent, |
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Definition
| then the lines are parallel. |
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Term
| Thm: If two lines are cut by a transversal such that two corresponding anges are congruent, |
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Definition
| then the lines are parallel. |
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Term
| Thm: If two lines are cut by a transversal such that two interior angles on the same side of the transversal are supp, |
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Definition
| then the lines are parallel. |
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Term
| Thm: If two lines are cut by a transversal such that two exterior angles on the same side of the transversal are supp, |
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Definition
| then the lines are parallel. |
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Term
| Thm: If two coplanar lines are perpendicular to a third line, |
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Definition
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Term
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Definition
-opposite sides are parallel
-opposite sides are congruent
-consecutive angles are supplementary
-opposite angles are congruent
-diagonals bisect eachother |
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Term
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Definition
-all props of parallelograms inherited
-all angles are right
-diagonals are congruent |
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Term
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Definition
-all properties of parallelograms inherited
-all sides are congruent
-diagonals are perpendicular
-diagonals bisect angles of rhombus
-diagonals divide rhombus into 4 congruent right triangles |
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Term
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Definition
-all properties of parallelograms inherited
-all properties of rectangles inherited
-all properties of rhombuses inherited
-diagonals form 4 isos right triangles (45-90-45) |
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Term
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Definition
-two disjoint pairs of consecutive sides are congruent
-diagonals are perpendicular
-one diagonal bisects the other
-one diagonal bisects a pair of opposite angles
-one pair of opposite angles is congruent |
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Term
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Definition
-bases are parallel
-legs are congruent
-lower base angles are congruent
-upper base angles are congruent
-diagonals are congruent |
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Term
| Thm: If both pairs of opposite sides of a quad are parallel |
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Definition
| then the quad is a parallelogram. |
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Term
| Thm: If both pairs of opposite sides of a quad are congruent |
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Definition
| then the quad is a parallelogram. |
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Term
| Thm: If one pair of opposite sides of a quad are both parallel and congruent |
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Definition
| then the quad is a parallelogram. |
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Term
| Thm: If diagonals of a quad bisect each other |
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Definition
| then the quad is a parallelogram. |
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Term
| Thm: If both pairs of opposite angles of a quad are congruent |
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Definition
| then the quad is a parallelogram. |
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Term
| Thm: If a parallelogram contains at least one right angle |
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Definition
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Term
| Thm: If the diagonals of a parallelogram are congruent |
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Definition
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Term
| Thm: If all the angles of a quad are right |
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Definition
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Term
| Thm: If a parallelogram has a pair of consecutive congruent sides |
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Definition
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Term
| Thm: If either diagonal bisects two angles of a parallelogram |
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Definition
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Term
| Thm: If the diagonals are the perpendicular bisectors of a quad |
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Definition
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Term
| Thm: If a quad is both a rhombus and a rectangle |
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Definition
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Term
| Thm: If two disjoint pairs of consecutive sides of a quad are congruent |
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Definition
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Term
| Thm: If one of the diagonals of a quad is the perp bis of the other |
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Definition
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Term
| Thm: If legs of a trapezoid are congruent |
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Definition
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Term
| Thm: If the lower or upper base angles of a trapezoid are congruent |
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Definition
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Term
| Thm: If the diagonals of a trapezoid are congruent |
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Definition
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