Weekly Flashcardizz #8: Translations and Reflections

Front

What is a translation in geometry?

Back

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

Front

How do you represent a translation algebraically?

Back

A translation can be represented as (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What does it mean to reflect a figure across the y-axis?

Back

Reflecting a figure across the y-axis means that each point (x, y) of the figure is transformed to (-x, y).

Front

What is the algebraic representation of reflecting a figure over the y-axis?

Back

The algebraic representation is (x, y) --> (-x, y).

Front

What is the effect of reflecting a figure over the x-axis?

Back

Reflecting a figure over the x-axis transforms each point (x, y) to (x, -y).

Front

What does the term 'flip' refer to in geometry?

Back

In geometry, 'flip' refers to the action of reflecting a figure over a line.

Front

What is the algebraic representation of translating a figure 5 units right and 3 units down?

Back

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

Front

If point N is at (3, 2), what are the coordinates of N' after reflecting across the y-axis?

Back

The coordinates of N' would be (-3, 2).

Front

What is the difference between translation and reflection?

Back

Translation moves a figure without changing its orientation, while reflection flips a figure over a line, changing its orientation.

Front

How do you determine the new coordinates after a translation?

Back

To determine new coordinates after a translation, add the translation values to the original coordinates.