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Geometry Quad. proof

Geometery Cary High Unit 11 special paralleograms

QuestionAnswer
midline of a triangle : is the line of joining the midpoint of two sides of a triangle
The mid line of a triangle is // to the 3rd side of the triangle
The mid line of a triangle is half as long as the 3rd side
If a line containing the midpoint of one side of a triangle is // to the 2nd of a triangle then also contains the midoint of the 3rd side of the triangle
If 3 or more // lines cuts off seg. on trans. then cut off congruent seg on every trans.
Varignon's Theorem If themidpoint of the side of any quad are joined then form a parallograme
Trapezoid If a quad and has exactly one pair of opp. sides // then trapezoid.
Isosceles Trapeziod If a Trapeziod who's non // sides are congrunet then isos trap.
If a quad is a trap. and legs are congrunet then Isosceles Trapezoid
If a qud ia a trap. and has one pair of base angles congrunet then isosceles trapezoid
If a quad is a trap. and has congruent diagonals then isosceles trapezoid
Median Of Trapezoid a seg. that joins the midpoint of non // side of a trap.
If a median of a trapezoid then seg. joins midpoints of non // sides of trap.
If a seg. is the median of a trapezoid then it is // to bases
If seg. is a median of a traoezoid then length is half the sum of the lengths of thebases
If rhombus then four sides congrunt
If rhombus then diagonal perpendicular
If a rhombus then diagonal bisect its angles
square If a quad. with 4 right angles and four congruent sides then square
If paraolleogram has perpendicular diagonals then Rhombus
If a paraolleograme has consect. congrunet sides then rhombus
If diagonals of paraellograme bisect angles of parallelograme then rhombus
rectangle If a quad. with four right angles then a rectangle
If a quad has 4 rt angles then rect.
If a paralleograme has congruent diagonals then rect
If a paralleograme has one rt. angle then rect
If a quad has 3 rt. angles the rect.
The median to the hyp. of a rt. triangle is half as long as the hyp.
Hyp. of rt. triangle is twice as long as the median to hyp.
If a quad is a rect. with consecutive congurent sides then a square
If a quad is a rect with diagonals bisecting one of it's angels then square
If a quad is rect with perpendicular diagonals then square
If a quad is a rhombus with rt angles then square
If a quad is a rhombus with congruent diagonals then square
rhombus If a quad. with four right sides congruent then a rhombus
Created by: thehermitcrab