FLASHCARD 7 ON 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 mathematically?

Back

A translation can be represented as a vector, such as , where x is the horizontal shift and y is the vertical shift.

Front

What does the vector <2,9> indicate in a translation?

Back

It indicates a movement of 2 units to the right and 9 units up.

Front

What does the vector <-2,9> indicate in a translation?

Back

It indicates a movement of 2 units to the left and 9 units up.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected, such as the x-axis or y-axis.

Front

How do you determine the coordinates of a point after a translation?

Back

Add the translation vector to the original coordinates of the point.

Front

What happens to the coordinates of a point (x,y) when it is reflected over the x-axis?

Back

The coordinates become (x,-y).

Front

What happens to the coordinates of a point (x,y) when it is reflected over the y-axis?

Back

The coordinates become (-x,y).

Front

If a triangle is translated 5 units down and 4 units to the right, what is the translation vector?

Back

The translation vector is <4,-5>.