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both opposite sides r parallel, both opposite sides r congruent, one opposite sides is congruent and parallel, both opposite angles r congruent, or diagonals bisect each other
list 5 ways to prove quadrilateral is a parallelogram: bosrp bosrc oosicap boarc o dbeo
if 3 parallel lines cut off _____ segments on 1 transversal, then they cut off _____ segments on every transversal
midpoint, parallel, midpoint
a line tht contains the _____ of one side of a triangle and is _____ to another side passes thru the ______ of the third side
parallel to the third side and half as long as the third side
if a segment joins the midpoints of 2 sides of a triangle, the segment is
parallel to bases, has half a length equal to the average of the base lengths
A Median of a trapezoid is:
the measure of an exterior angle of a triangle is ______ than the measure of either remote interior angle
a ______ segment from a point to a line/plane is the shortest segment from a point to a line/plane
the sum of the lengths of any 2 sides of a triangle is _____ then the length of the third side
the ____ of one number to another is the quotient when the first number is divided by the second; its like a fraction
multiply means and extremes, switch means or extremes, add denomonator to numerator on both sides
what are some properties of proportions? mmae, smoe, adtnobs
2 polygons r similar if their vertices can b paired so tht corresponding angles r congruent and corresponding sides r in proportion-same ratio
if a line parallel to 1 side of a triangle intersects the other 2 sides, then it divides those sides ________
if 3 parallel lines intersect 2 transversals then they divide the transversals ________
segments proportional to the other 2 sides
if a ray bisects an angle of a triangle, then it divides the opposite side into: spttots
similar to the original triangle and to each other
if the altitude is drawn to the hypotenuse of the right triangle, then the two triangles formed are: sttotateo
in the same circle or congruent circles 2 minor arcs r congruent if and only if their _____ ______ are congruent
Congruent arcs have congruent chords
in the same circle or congruent circles, congruent chords have congruent arcs, and ___ ___ ___ ___ ___
measure of angle formed by chord and tangent is equal to ____ the measure of the intercepted arc
1/2 the sum
the measure of an angle formed by 2 chords tht intersect inside a circle is equal to ____ __ ___ of the measures of the intercepted arcs
secants, tangents, secant and a tangent
measure of an angle formed by two __, 2 ___, or a __ __ __ __ drawn from a point outside a circle is equal to half the difference of the measures of the intercepted arcs
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