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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

### congruent

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:

### greater

the measure of an exterior angle of a triangle is ______ than the measure of either remote interior angle

### perpendicular

a ______ segment from a point to a line/plane is the shortest segment from a point to a line/plane

### greater

the sum of the lengths of any 2 sides of a triangle is _____ then the length of the third side

### ratio

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

### similar

2 polygons r similar if their vertices can b paired so tht corresponding angles r congruent and corresponding sides r in proportion-same ratio

### proportionally

if a line parallel to 1 side of a triangle intersects the other 2 sides, then it divides those sides ________

### proportionally

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

### central angles

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 ___ ___ ___ ___ ___

### 1/2

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