Term
Rectangle
[image]
a parallelogram that contains 4 right angles (PP)
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| the diagonals in a rectangle are congruent right angels |
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PP
-all sides are congruent,diagonals are perpendicular and bisect the angles |
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equangular and equilateral
a square is a rhombus rectangle and parallelogram |
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| In a triangle a line that passes throughout the midpoint of one side of the triangle and is parallel to another side passes the the midopoint of the 3rd side |
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Definition
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segment that joins the midpoints of two sides of a triangle ar
a) parallel to the 3rd side
b)is half as long as the 3rd side |
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trapozoid
-a quadralatural with exactly one pair of paralell sides |
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Definition
| the parallel sides are called the bases and the non parallel sides are called the legs |
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Term
isoceles triangle
-legs are congruent
base anges of the iso. trapazoid are congruent |
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median connects the midpoints of the legs
-median has a length equal to the average of the bases |
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| is a comparison of 2 numbers usually written as a fraction |
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Definition
| to ratios that are equal to each other |
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Term
| extreme- the first and last terms of the proportion |
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Definition
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| ratios that are eqial add them togetther and they =the original ratio |
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Definition
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| ratios that are eqial add them togetther and they =the original ratio |
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Definition
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Term
| ratios that are eqial add them togetther and they =the original ratio |
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Term
| in similar figures,their corresponding sides are proportional |
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Definition
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proving triangles are similar
AA-if two angles of one triangle are congruent to 2 angles of another then the triangles are similar |
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Definition
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Term
| mean proportional or geometric mean |
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Definition
| -if the means in a proportional are the same umber than that number is called the geometric mean between the extremes |
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Term
| Theorem: if an altitude is drawn to the hypotenue of a rifht trianlge then te 2 triangles formed are similar to the orgiignal triangle and each other |
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Definition
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| when the altitue is drawn to the hypotenue of a right riange the length of the altitude is the geometric mean between the segments of the hypotenues |
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Definition
seg1 alt
----=----
alt seg2 |
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Term
| when the altitude is drawn to the hypotenues of a right riangle each leg is the geometric mean between the hypotenue ad the segment of the hypotenue is adjacnt to that leg |
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Definition
hyp leg
---= ----
leg seg(that is adjacent to the leg) |
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Term
pythagorean theorem
a2+b2 =c2 |
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Definition
only applies to right triangles
-c always ='s the hypotenuse |
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Term
| converse of the pyth. theorem |
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Definition
| if the square of one side of the triangle is equal to the sum of the square os the other 2 sides then the triangle is a right triangle |
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Term
| if a triangle s not a right triangle we can use the converse of the pythegoren theorm to tell wheter the triangle is acute or obtuse |
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Definition
right ex: 234=234
obtuse ex: 345=679
acute ex: 345=100 |
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trigonometric ratios
SOH-CAH-TOH(sin,cos,tan) |
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Definition
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Term
to find the angle of the right triange you use
the inverse of SOH-CAH-TOA |
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area of a triangle
A=1/2bh |
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area of a trapezoid
A= 1/2(b1+b2)h |
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area of parallelogram
A=bh |
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| angle between horizontal line and diagonal or hypotenue of the right triangle |
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set of all points equidistant from a fied point called the center of the circle
360 degrees in a whole circle |
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| congruent circles are congruent circles with congruent radii |
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Definition
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| distance from center of circle to a point on circle |
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| all radii of a cricle are congruent |
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| line segment going through all of the circle |
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Definition
part of the circle between 3 points on the circle
(arcs are measured in degrees) |
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arc that is usually ess than 180
written with 3 letters |
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Definition
| -arc more then 180 and usually has 3 letters |
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semicircle=half of circle
half of circle=180 |
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Definition
-diameter creates 2 semicircle
-each semicircle meaures 180 degrees |
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Definition
| angle whose vertex is the center of the circle |
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| central angle =the measure of its intercepted arc |
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Definition
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| arc's are only congruent if they are on congruent circles**** |
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Definition
| if radii and diameter are congruent |
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| *****in a circle congruent central angles intersect congruent arcs** |
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Definition
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| polygon is inscribed in a circle |
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Definition
| if all he corners are touching the circle the circles |
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Definition
| a line in the plane of a circle that intersects the circle at exactly one point |
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Definition
| is the point where the tanget line touches the cirlce |
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| if a line is tangent to a circle then the line is perpendicular to the radius drawn to the point of tangency |
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Definition
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| tangents to a circle fro the same point are congruent |
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| touch at exacty one point |
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| is a line segment whose endpoints are points on the circle |
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congruent arcts have congruent chords
congruent chords have congruent arcs |
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Definition
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| if a diameter and chord are perpendicular then the diameter isects the chord and its arc |
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Definition
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| if 2 chords are congurent then they are equidistant from the center of the cirlce |
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Definition
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| if 2 chords are equidistant from the center of the circle then the cords are congruent |
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Definition
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