Test Ch 4 Geometric Translations #2

Front

What is a geometric translation?

Back

A geometric 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, y) --> (x+a, y+b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What does the notation (x, y) --> (x-2, y+9) indicate?

Back

This notation indicates that the point (x, y) is translated 2 units to the left and 9 units up.

Front

What is the effect of translating a point 3 units to the right and 2 units down?

Back

The point (x, y) would be translated to (x+3, y-2).

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected to create a mirror image.

Front

What does reflecting a shape across the x-axis do?

Back

Reflecting a shape across the x-axis changes the sign of the y-coordinates of the points of the shape.

Front

If a point A(2,5) is reflected across the x-axis, where is A' located?

Back

A' would be at (2,-5).

Front

What is the difference between reflection and translation?

Back

Reflection creates a mirror image of a shape, while translation moves the shape without changing its orientation.

Front

How do you determine the direction of a translation?

Back

The direction of a translation is determined by the values added or subtracted from the x and y coordinates.

Front

What does it mean to translate a triangle down 9 and right 4?

Back

It means to move the triangle 9 units down and 4 units to the right from its original position.