Unit 8 Test Review

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

What does the notation T_{} represent?

Back

T_{} represents a translation of a figure by vector , where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

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

Back

To find the new coordinates, add the translation vector to the original coordinates: (x,y) + (a,b) = (x+a, y+b).

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

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

Back

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

Front

What is a reflection in geometry?

Back

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

Front

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

Back

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

Front

What is the result of reflecting a point (x,y) across the y-axis?

Back

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

Front

What does the notation r_{(θ, O)} represent?

Back

r_{(θ, O)} represents a rotation of θ degrees around the point O.

Front

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

Back

A 180° rotation transforms (x,y) to (-x,-y).