3.4 Flashcard Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way on a coordinate plane.

Front

Define rotation in the context of transformations.

Back

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

Front

What does it mean to rotate a figure 90 degrees clockwise?

Back

To rotate a figure 90 degrees clockwise means to turn the figure 90 degrees to the right around the origin.

Front

What is a translation in geometry?

Back

Translation is a transformation that slides a figure in a straight line from one position to another without changing its shape or orientation.

Front

How do you translate a point (x, y) 3 units up and 2 units to the left?

Back

The new coordinates will be (x - 2, y + 3).

Front

What is reflection in geometry?

Back

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

Front

What happens to the coordinates of a point (x, y) when it is reflected across the y-axis?

Back

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

Front

What is the effect of reflecting a figure across the line y = x?

Back

The coordinates of each point (x, y) will switch places to become (y, x).

Front

What is the result of rotating a figure 180 degrees around the origin?

Back

The coordinates of each point (x, y) will change to (-x, -y).

Front

How do you determine if two figures are congruent using transformations?

Back

Two figures are congruent if one can be transformed into the other using a combination of rotations, translations, and reflections.