Dilation
A transformation that makes a figure larger or smaller while keeping its shape the same.
Dilation
Two triangles that have the same shape but not necessarily the same size; their corresponding angles are equal and sides are proportional.
Similar Triangles
The steepness of a line; the ratio of vertical change to horizontal change (rise/run)
Slope
A dilation with a scale factor greater than 1.
Enlargement
The number that tells how much a figure is enlarged or reduced in a dilation.
Scale Factor
Sides that are in the same relative position in similar figures.
Corresponding Sides
The vertical change between two points on a line
Rise
A dilation that makes a shape smaller, also called shrinking.
Reduction
The point that stays in the same place during a dilation
Center of Dilation or Fixed Point
Angles that are in the same relative position in similar figures.
Corresponding Angles
The horizontal change between two points on a line.
Run
Two or more transformations applied in order.
Sequence of transformations
The figure after a transformation
Image
Two quantities that have the same ratio.
Proportional
A situation where a quantity changes by the same amount each time.
Constant rate of change
A comparison of two quantities using division.
Ratio
A change in the position, size, or orientation of a figure, such as a translation, reflection, rotation, or dilation.
Transformation
A method for proving triangles are similar by showing two pairs of corresponding angles are equal.
AA Similarity (Angle-Angle)
A relationship that forms a straight line when graphed and has a constant slope.
Linear Relationship
A real world example used with similar triangles to find height using proportional reasoning
Shadow