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Distance formula
d = √[( x₂ - x₁)² + (y₂ - y₁)²]
Vertex
each endpoint of a side of a polygon
quadrilateral
a polygon with four sides
n-gon
a polygon with "n" sides
convex
no line containing a side contains a point within the interior of a polygon
concave
non convex, containing a point within the polygon's interior
diagonal
segment joining two nonconsecutive vertices of a convex polygon
regular polygon
polygon whose sides are all the same length and whose angles all have the same measure
equiangular polygon
polygon is a polygon with all angles congruent
consecutive angles
Angles of a polygon that share a side
parallelogram
A quadrilateral with both pairs of opposite sides parallel
square
A parallelogram with four right angles and all sides of equal length
rhombus
A parallelogram with all sides of equal length without any right angles
rectangle
A parallelogram with four right angles
trapezoid
A quadrilateral with exactly one pair of parallel sides
midsegment
The segment that joins the midpoints of the legs of a trapezoid
means
the middle two numbers in a proportion
extremes
The first and last numbers in a proportion
similar
Figures that have the same shape but not necessarily the same size
extended proportion
an equation stating that three or more ratios are equal
scale factor
The ratio that tells how much bigger or smaller one similar figure is to the other
y2-y1/x2-x1
slope formula
(x+1+ x+2/2, y1+y2/2)
midpoint formula
S= 180(n-2)
sum of interior angles
i= 180(n-2)/n
each interior angle
360
sum of exterior angles
360/n
each exterior angle
360=180n-In
finding numbers of sides
cross products
the multiplication of the means and also the multiplication of the extremes
ratio
A comparison between two quantities using division
Porportion
An equation that states two ratios are equal
a²+b²=c²
Pythagorean Theorem
False
A rectangle is a type of square
1 multiple choice option
True
The midsegment of a trapezoid is paralell to it's bases
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False
Slope is used to tell wether two sides have the same length
1 multiple choice option
True
A trapezoid is a type of quadrilateral
1 multiple choice option
SAS
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
SSS
If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
HL
if the hypotenuse and a leg of a right triangle are each congruent with the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.
Reflection
the object is flipped to create a mirror or congruent image.
Rotations
A type of transformation that turns a figure around a point by a certain angle.
triangle
A polygon with three sides.
pentagon
a polygon with 5 sides
kite
a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent
Trapezoid
a quadrilateral with one pair of parallel sides
isoceles trapezoid
a trapezoid with congruent legs
Parallelogram
a quadrilateral with both pairs of opposite sides parallel
Rhombus
A parallelogram with four congruent sides