Compositions of Transformations

Front

A double reflection over the x- and y-axes is the same as a ____________ of ______.

Back

Rotation of 180 Degrees

Front

Name the series of transformations that maps ABC onto DEF: reflect over x then translate left 6 up 1, reflect over y then translate down 6 left 1, translate right 6 down 1, then reflect over x, rotate 90 clockwise then reflect over y.

Back

reflect over x then translate left 6 up 1

Front

What is the ordered pair for the final location of P( -7, 3) after this series of transformations? (x,y)→(x, y+3) then rotated 90° clockwise about the origin.

Back

P'(6, 7)

Front

The coordinates of triangle JRB are J(1, -2), R(-3, 6), and B(4, 5). What are the coordinates of the vertices of its image after the transformation is reflected over the y axis and then translated right 2 and down one unit?

Back

(1, -3), (5, 5), (-2, 4)

Front

Identify the transformation from ABC to A'B'C'.

Back

Reflection across the x-axis

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape.

Front

Define reflection in geometry.

Back

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

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point at a certain angle.

Front

Explain translation in geometry.

Back

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

Front

What is the effect of a 90° clockwise rotation on the coordinates (x, y)?

Back

The new coordinates will be (y, -x).