Transformation Rules

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.

Front

What are the types of transformations?

Back

The main types of transformations are translations, rotations, reflections, and dilations.

Front

What does it mean to reflect a shape?

Back

To reflect a shape means to flip it over a line, creating a mirror image.

Front

What is the rule for reflecting a point over the x-axis?

Back

The rule is @@(x,y) ightarrow (x,-y)@@.

Front

What is the rule for reflecting a point over the y-axis?

Back

The rule is @@(x,y) ightarrow (-x,y)@@.

Front

What does the rule @@(x,y) ightarrow (x-6,y+4)@@ indicate?

Back

It indicates a translation left 6 units and up 4 units.

Front

What is congruence in geometry?

Back

Congruence means that two figures are the same size and shape.

Front

How do you determine if two shapes are congruent?

Back

Two shapes are congruent if one can be transformed into the other using rotations, reflections, or translations.

Front

What is a translation in geometry?

Back

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

Front

What is the algebraic representation of a translation right 3 and down 2?

Back

The representation is @@ (x,y) ightarrow (x+3,y-2) @@.