Unit 11 - 11.1 - 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

What is the notation for translating a point (x, y) 6 units right and 5 units up?

Back

(x, y) --> (x + 6, y + 5)

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate: (x, y) --> (-x, y).

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 a translation do to an image?

Back

A translation slides the image to a new position without changing its shape or orientation.

Front

If point C is at (3, 2), what is its reflection over the y-axis?

Back

(-3, 2) is the reflection of point C over the y-axis.

Front

What is the effect of translating a shape 3 units left and 2 units down?

Back

The new coordinates of each point of the shape will be (x - 3, y - 2).

Front

What is the difference between translation and reflection?

Back

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

Front

If a shape is translated 4 units up, what is the new position of a point (2, 3)?

Back

The new position will be (2, 7).

Front

What is the result of reflecting the point (4, -5) over the x-axis?

Back

The reflection will be (4, 5).