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Level 434

Transformations in the Coordinate Plane


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Angle
Two rays with the same end point.
angle of rotation
formed by rays drawn from the center of rotation to a point and its image
Bisector
if a line bisects a line segment, then it intersects it at its midpoint
Circle
r= asin(theta)
Congruent
A plane figure with the same size and shape.
corresponding angles
Angles that have the same relative positions in geometric figures.
corresponding sides
Sides that have the same relative positions in geometric figures
Endpoint
The point at each end of a line segment or at the beginning of a ray.
image
the resulting figure AFTER a transformation is performed on it
intersection
The graph of a compound inequality with "and" in which the solution is the overlapping or what is shared.
Isometry
a transformation that does not change the size or shape of a figure
Line
A straight path that goes without end in two directions.
line segment
Part of a line with two end points.
parallel lines
2 lines that never cross/intersect and stay the same distance apart
Perependicular Lines
Two lines are perpendicular if they intersect to form right angles.
point
an exact location in space
Pre-image
the original figure BEFORE a transformation is performed on it
ray
Part of a line that has one end point and goes in one direction without end.
reflection
It is a transformation that flips a figure over a line of reflection.
Reflection Line
A line that acts as a mirror so that corresponding points are the same distance from the mirror.
rotation
It is a transformation that turns a figure about a fixed point.
Transformation
a movement on the cartesian plane
translation
It is a transformation that moves points the distance and in the same direction.
vertex
The point where two sides meet. (Shared end points of the line segments of a polygon.)
Axis of Symmetry
a line that divides a parabola in two equal halves and goes through the vertex
Continuous
is a quantitative variable that has a continuum of infinitely many possible values
coordinates
Are used to pinpoint where you are on a map or graph. They are also referred to as or Cartesian coordinates.
Discrete
is a quantitative variable that is usually a count such as 0, 1, 2, 3
Distance
the property created by the space between two objects or points
Domain
The ______________________ is all the possible INPUT, X, values.
y=mx+b
Line equation
Linear Function
y = mx + b
Maximum
the highest possible y value for the graph of a quadratic function; also the y-coordinate of the vertex
Midpoint
if a line segment has a midpoint, then the 2 segments formed are congruent
Minimum
the lowest possible y value for the graph of a quadratic function; also the y -coordinate of the vertex
ordered pair
A pair of numbers that can be used to locate a point on a coordinate plane.
pattern
A repeating or growing sequence or design. An ordered set of numbers or shapes arranged according to a rule.
Perpendicular lines
lines in a plane that intersect to form 4 right angles
Quadratic Function
a function that can be written in the form f(x)=ax^2+bx+c, where a, b & c are real numbers and a is not equal to zero
Range
The difference between the greatest number and the least number in a set of data.
Rate of change
A value that results from dividing the change in a function (y-values) of a variable by the change in the variable (x-values). It is another name for slope.
Scatter plot
is a graph used to determine whether there is a relationship between paired data. Scatter plots can show trends in data.
slope
(y₂-y₁)/(x₂-x₁)
standard form of a line
Ax + By = C
x-intercept
the point where the line crosses the x-axis
y-intercept
the point where the line crosses the y-axis