Translation Summative

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

How do you describe a translation mathematically?

Back

A translation can be described using a vector, such 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 figure 5 units down and 4 units to the right?

Back

It means to move every point of the figure 5 units down on the y-axis and 4 units to the right on the x-axis.

Front

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

Back

The new coordinates will be (2+5, 3-2) = (7,1).

Front

What is the rule for translating a point (x,y) 8 units to the right and 4 units up?

Back

The rule is (x,y) → (x+8, y+4).

Front

What is the effect of a 180° rotation on a point (x,y)?

Back

The effect of a 180° rotation is (x,y) → (-x,-y).

Front

How do you dilate a point (x,y) by a scale factor of k?

Back

To dilate a point (x,y) by a scale factor of k, the new coordinates will be (kx, ky).

Front

What is the new position of point (1,2) after a dilation by a scale factor of 3?

Back

The new position will be (3*1, 3*2) = (3,6).

Front

What does a 90° counterclockwise rotation do to the coordinates (x,y)?

Back

A 90° counterclockwise rotation transforms (x,y) to (-y,x).

Front

What is the new location of triangle A after a 90° counterclockwise rotation around the origin?

Back

The new location can be determined by applying the rotation rule to each vertex of the triangle.