Transformations Acc Geo TEST 24-25

Front

What is a transformation composition?

Back

A transformation composition is a sequence of two or more transformations applied to a figure. For example, translating a figure and then reflecting it across an axis.

Front

What are the coordinates of the image if you reflect point A(-4, 7) in the line y=x?

Back

The coordinates of the image A' after reflecting in y=x are A'(7, -4).

Front

In which direction will a translation of <-4, 7> shift a point?

Back

The translation will shift the point 4 units left and 7 units up.

Front

What does it mean to reflect a figure in the y-axis?

Back

Reflecting a figure in the y-axis means to flip it over the y-axis, changing the sign of the x-coordinates of all points.

Front

What are the coordinates of point A(8, 4) after a 90-degree rotation counterclockwise around the origin?

Back

The coordinates of A' after a 90-degree rotation are A'(-4, 8).

Front

What is the effect of reflecting a point across the x-axis?

Back

Reflecting a point across the x-axis changes the sign of the y-coordinate. For example, A(x, y) becomes A'(x, -y).

Front

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

Back

If point A(x, y) is translated 3 units right and 2 units down, the new coordinates will be A'(x+3, y-2).

Front

How do you perform a reflection across the line y=2?

Back

To reflect a point across the line y=2, you find the vertical distance from the point to the line and then place the reflected point the same distance on the opposite side of the line.

Front

What is the difference between a translation and a reflection?

Back

A translation moves a figure without changing its orientation, while a reflection flips a figure over a line, changing its orientation.

Front

What happens to the coordinates of a point when it is rotated 180 degrees around the origin?

Back

When a point A(x, y) is rotated 180 degrees around the origin, its coordinates change to A'(-x, -y).