Transformations GEO TEST 24-25

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape, called the image.

Front

Define rotation in geometry.

Back

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

Front

What is the angle of rotation for a 180-degree rotation?

Back

A 180-degree rotation turns a figure halfway around the center of rotation, resulting in the image being directly opposite the original.

Front

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

Back

Reflecting a shape in the y-axis means flipping it over the y-axis, resulting in a mirror image on the opposite side.

Front

How do you find the image of a point after a transformation using a vector?

Back

To find the image of a point A(x, y) after applying a vector , you add the vector components to the coordinates: A'(x+a, y+b).

Front

What is the result of reflecting a point in the x-axis?

Back

Reflecting a point (x, y) in the x-axis results in the point (x, -y).

Front

What happens to a point in Quadrant I when rotated 180 degrees?

Back

When a point in Quadrant I is rotated 180 degrees, it moves to Quadrant III.

Front

What is the effect of reflecting a shape in the line y=x?

Back

Reflecting a shape in the line y=x swaps the x and y coordinates of each point in the shape.

Front

What is the transformation that moves a shape without changing its size or shape?

Back

This transformation is called a rigid transformation, which includes translations, rotations, and reflections.

Front

How do you determine the quadrant of a point after a transformation?

Back

To determine the quadrant, analyze the signs of the x and y coordinates after the transformation.