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Ch 2 - Similarity and Dilations
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Gravity
Terms in this set (45)
center of dilation
center point of a dilation
congruent
angles that have equal measures
dilation
transformation, or mapping, that enlarges or reduces a figure by a scale factor relative to a center point
indirect measurement
allows you to use properties of similar polygons to determine distances or lengths that are difficult to measure directly
scale factor
ratio of the lengths of two corresponding sides of two similar polygons
similar polygons
polygons that have the same shape
attribute
characteristic or property of a shape or thing
constant
number that does not vary
corresponding angles
pair of angles located in the same position in two different congruent or similar shapes
corresponding sides
pair of sides located in the same position in two different congruent or similar shapes
dimensions
measure of sides in a geometric figure
equivalent
same in value or amount
justify
to explain why a solution was chosen
prime notation (')
used to indicate a point that is the result of a transformation
proportion
mathematical sentence stating that two ratios are equal
ratio
comparison of two quantities
similar figures
figures that are exactly the same shape with congruent corresponding angles and proportional corresponding sides
transformation
change in size, shape, or position of a geometric figure
adjacent angles
two or more angles with a common ray and a common vertex
angle
figure formed by 2 rays that share a common endpoint
complementary angles
two angles whose measures sum to 90 degrees
exterior angle
angle formed by an angle of a triangle and the linear extension of an adjacent side
parallel lines
two lines in the same plane that never intersect
supplementary angles
two angles whose measures sum to 180 degrees
transversal
line that intersects two or more additional lines
triangle
polygon with 3 sides and 3 angles
Triangle Sum Theorem
sum of the measures of the angles in a triangle is 180 degrees
vertex/vertices
point where two rays meet, where two sides of a polygon meet, or where the edges of a 3D figure meet
vertical angles
pair of opposite congruent angles formed by intersecting lines
coordinate plane
plane formed by two perpendicular number lines intersecting at 0
ordered pair
pair of numbers, (x, y), used to locate a point on a coordinate plane
origin
point on a coordinate plane where the x-axis and the y-axis intersect; (0, 0)
proportional
having a constant ratio
area
number of square units needed to cover a surface
circumference
linear length of the perimeter of a circle
diameter
linear distance from a point on the circumference of a circle, through the center of the circle, to a point on the opposite side of the circle
exponent
number of times a base is used as a factor
factor
number that is multiplied by another number to find a product
image
result of a transformation
parallelogram
quadrilateral with opposite sides that are parallel and congruent
perimeter
distance around a 2D figure
quadrilateral
polygon with four sides and four angles
radius
distance from the center of a circle to any point on the circumference of the circle
square
special rectangle with 4 sides of equal measure
square unit
square with a side length of one unit, used to measure area
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