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parallel

a parallelogram is a quadrilateral w/ both pairs of opposite sides ______

congruent

opposite sides and angles of a parallelogram r

bisect each other

diagonals of a parallelogram

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

equidistant

if 2 lines r parallel, all points on 1 line r _____ from the other line

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

Rectangle

the diagonals of a ______ are congruent

rhombus

the diagonals of a _____ are perpendicular

rhombus

each diagonal of a _______ bisects 2 angles of the ______

equidistant

the midpoint of the hypotenuse of a right triangle is _______ from the 3 vertices

rectangle

if an angle of a parallelogram is a right angle, then the parallelogram is a

rhombus

if 2 consecutive sides of a parallelogram r congruent, the parallelogram is a

P, Rec, Rhom, S

P/Rec/Rhom/S: Opposite sides r parallel

P, Rec, Rhom, S

P/Rec/Rhom/S: Opposite sides are congruent

P, Rec, Rhom, S

P/Rec/Rhom/S: Opposite angles are congruent

P, Rec, Rhom, S

P/Rec/Rhom/S: Diagonals form 2 congruent triangles

P, Rec, Rhom, S

P/Rec/Rhom/S: Diagonals bisect each other

Rec, S

P/Rec/Rhom/S:Diagonals are congruent

Rhom, S

P/Rec/Rhom/S:Diagonals r perpendicular

Rec, S

P/Rec/Rhom/S:All angles r rite angles

Rhom, S

P/Rec/Rhom/S:All sides r congruent

congruent

base angles of an isosceles trapezoid r ______

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

If I do not go outside then it is not sunny

Contrapositive of: If it is sunny i will go outside

If it is not sunny I will not go outside

Inverse of:If it is sunny i will go outside

If I go outside, then it is sunny

Converse of:If it is sunny i will go outside

SAS and SSS

List the 2 ways to prove a triangle side or angle is larger

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

longer

the angle opposite the ______ side is larger

shorter

the angle opposite the ______ side is smaller

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

AA, SAS, SSS

3 similarity theorems

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

x, x, x times the square root of 2

whats the measurements of a 45-45-90 triangle?

x, 2x, x times the square root of 3

whats the measurements of a 30-60-90 triangle

chord

segment whose endpoints lie on a circle

secant

line tht contains a chord

diameter

chord tht contains the center of a circle

tangent

line tht intersects circle in exactly 1 point

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 ___ ___ ___ ___ ___

bisects

diameter thts perpendicular to a chord ____ the chord at its arc

congruent

in same circle or congruent circles, chords equally distant from the center are _____

1/2

the measure of an inscribed angle is ____ the measure of the intercepted arc

congruent

if 2 inscribed angles intercept the same arc, then the angles r

right

wht kind of angle is an angle inscribed in a semicircle?

supplementary

if a quadrilateral is inscribed in a circle, then its opposite angles r

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

difference

measure of an angle formed by two secants 2 tangents, or a secant and a tangent drawn from a point outside a circle is equal to half the ______ of the measures of the intercepted arcs