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60 terms

Geom Exam

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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