Translation and Reflection

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

What does it mean for translations to be congruent?

Back

Translations are congruent because they preserve the shape and size of the figure, meaning the original figure and the translated figure are identical in size and shape.

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 does it mean for reflections to be congruent?

Back

Reflections are congruent because they maintain the same size and shape of the original figure, resulting in an identical figure.

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 represent a translation algebraically?

Back

A translation can be represented algebraically by adjusting the coordinates of a point, such as (x+a, y+b), where 'a' and 'b' are the units moved in the x and y directions, respectively.

Front

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

Back

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

Front

What is a flip in geometry?

Back

A flip is another term for a reflection, where a figure is flipped over a line to create a mirror image.

Front

What is the effect of a translation on the coordinates of a point?

Back

A translation shifts the coordinates of a point by adding or subtracting values from the x and y coordinates.

Front

Can a translation change the orientation of a figure?

Back

No, a translation does not change the orientation of a figure; it only changes its position.