Geometry 20-21_MP3 QBA

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape a constant distance in a specified direction.

Front

How do you represent a translation mathematically?

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 translate a point 3 units to the left and 9 units down?

Back

It means to subtract 3 from the x-coordinate and 9 from the y-coordinate of the point.

Front

What is a reflection in geometry?

Back

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

Front

What are the two main axes in a Cartesian coordinate system?

Back

The two main axes are the X-axis (horizontal) and the Y-axis (vertical).

Front

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

Back

To reflect a point (x, y) over the X-axis, the new point will be (x, -y).

Front

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

Back

To reflect a point (x, y) over the Y-axis, the new point will be (-x, y).

Front

What is the result of translating the point (2, 3) by (x + 2, y - 5)?

Back

The new point will be (4, -2).

Front

What does it mean to slide a shape right 2 and down 3?

Back

It means to add 2 to the x-coordinate and subtract 3 from the y-coordinate of each point in the shape.

Front

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

Back

Add the translation values to the original coordinates: (x + a, y + b).