M8 Translation and Reflection Flashcard

Front

What is translation in geometry?

Back

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

Front

How do you translate a point (x, y) 3 units to the right and 6 units up?

Back

To translate the point (x, y), add 3 to the x-coordinate and 6 to the y-coordinate: (x + 3, y + 6).

Front

What are the new coordinates of point T (2, -5) after translating it 3 units right and 6 units up?

Back

The new coordinates are (5, 1).

Front

What is reflection in geometry?

Back

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

Front

How do you reflect a point (x, y) over the x-axis?

Back

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

Front

What are the new coordinates of point C (3, 2) after reflecting it over the y-axis?

Back

The new coordinates are (-3, 2).

Front

What is the rule for translating a point left by 1 unit?

Back

The rule is (x, y) --> (x - 1, y).

Front

If point M is at (-3, 5) and is translated left by 1 unit, what are the new coordinates?

Back

The new coordinates are (-4, 5).

Front

What does it mean to reflect a point over the y-axis?

Back

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

Front

Which transformation moves a figure without changing its shape or size?

Back

Translation.