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21 Cards in this Set
- Front
- Back
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a parallelogram
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-both pairs of opposite sides parallel
-oppsite angles congruent -opposite sites congruent -adjacent angels supp -diagonals bisect eachother -one diagonal creates two congruent triangles |
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a rectangle
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-all properties of a parallelogram
-one right angle--> all right angles -diagonals are congruent |
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a rhombus
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-properties of a parallelogram
-all sides congruent -interection of diagonals is perpendicular -both diagonals biusect rhomubs angles -diagonals create 4 right triangles |
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a square
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-prop of a parallelogram
-prop of rectangle -prop of a rhomubs -diagnoals-four isosceles right triangles |
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a kite
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-two distinct pairs of consecutive sides
-diagonals perpendicular -one diagonal bisects the opposite angles -one diagonal bisected |
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a trapezoid
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-exactly one pair of parallel sides (bases)
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an isosceles trapezoid
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-all prop of a trapezoid
-non parallel sides congruent -lower base angles congruent -upper base angles congruent -diagonals are congruent |
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if-then
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statement is hypothesis then conculsion...conditional statement
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hypothesis
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if then that is true
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conclusion
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part of the if-then that must be true if the hypothesis is true
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linear pair of angles
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a pair of adjacent angles wholes non-common rays form a straight line
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linear pair property
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if two angles are linear pair then the sum of angles is 180
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vertical angles
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vertical angles are angles opposite one another at the intersection of two lines
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vertical angles theorem
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vertical angels congruent
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supplementary angles
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sum 180
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complementary angles
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90 degrees
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interior angles, exterior angels alternate interior angles, exc.
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only if two parallel lines cut by a transversal
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acute angle
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less than 90
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obtuse
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measure greater then 90 and less than 180
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converse
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re-statement of an if-then statement where hypothesis and conclusion switched
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triangle inequality theorem
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sum of the lengths of any two sides oc a triangle is greater than the length of the third side
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