Geometry (A) Transformations Review

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape. Common types include translations, rotations, reflections, and dilations.

Front

Define translation in geometry.

Back

A translation is a type of transformation that moves every point of a shape the same distance in the same direction.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

Explain reflection in geometry.

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image of the original shape.

Front

What is dilation in geometry?

Back

A dilation is a transformation that changes the size of a shape but not its shape, by a scale factor relative to a center point.

Front

What does the notation T_(a,b)(ΔABC) represent?

Back

This notation represents a translation of triangle ABC by the vector (a, b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What is the effect of a reflection over the x-axis?

Back

A reflection over the x-axis changes the sign of the y-coordinates of the points in the shape.

Front

What is the effect of a reflection over the y-axis?

Back

A reflection over the y-axis changes the sign of the x-coordinates of the points in the shape.

Front

How do you perform a 90° rotation counterclockwise about the origin?

Back

To perform a 90° rotation counterclockwise about the origin, switch the coordinates of each point (x, y) to (-y, x).

Front

What is the line of reflection for mapping triangle DEF to triangle D'E'F'?

Back

The line of reflection is the line that is equidistant from corresponding points of the two triangles. For example, if the line is y = -x, then points on triangle DEF will reflect across this line to map to triangle D'E'F'.