Geometry Honors TNReady Flashcard 4

Front

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

Back

The image of the point will be (-x, y).

Front

What are the coordinates of a point after reflecting it across the x-axis?

Back

The image of the point (x, y) will be (x, -y).

Front

What is a similarity transformation in geometry?

Back

A similarity transformation is a transformation that alters the size of a figure but preserves its shape, such as dilation, rotation, or reflection.

Front

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

Back

The image of the point will be (-x, -y).

Front

How do you perform a translation of a point (x, y) by a vector (a, b)?

Back

Add the vector to the point: the new coordinates will be (x + a, y + b).

Front

What is the image of point A(9, -4) after a translation of (x, y) → (x - 10, y + 2)?

Back

A(-1, -2).

Front

What is the definition of a reflection in geometry?

Back

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

Front

What is the result of reflecting a point (x, y) across the line y = x?

Back

The image of the point will be (y, x).

Front

What is the definition of 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 specified angle.

Front

What is the image of a point after a 216° clockwise rotation about a center point O?

Back

The image will depend on the specific coordinates of the point and the center O.