Translations, Reflections, Rotations, and Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure, either enlarging or reducing it, while maintaining its shape.

Front

How is a translation represented algebraically when moving a figure 7 units up?

Back

The algebraic representation is @@ (x,y) ightarrow (x,y+7) @@.

Front

What happens to the coordinates of a point when it is reflected across the y-axis?

Back

The x-coordinate changes sign, so the transformation is represented as @@ (x,y) ightarrow (-x,y) @@.

Front

How do you represent a translation of a figure 5 units down and 3 units to the right algebraically?

Back

The algebraic representation is @@ (x,y) ightarrow (x+3,y-5) @@.

Front

What is the scale factor if the point (8, 12) is dilated to (2, 3)?

Back

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

What is the effect of a reflection across the x-axis on a point (x,y)?

Back

The transformation is represented as @@ (x,y) ightarrow (x,-y) @@.

Front

What is the difference between a dilation and a translation?

Back

A dilation changes the size of a figure, while a translation moves it without changing its size or shape.

Front

How do you represent a dilation with a scale factor of 2?

Back

The transformation is represented as @@ (x,y) ightarrow (2x,2y) @@.

Front

What is the algebraic representation for reflecting a point across the origin?

Back

The transformation is represented as @@ (x,y) ightarrow (-x,-y) @@.