Composite Transformations Flashcard

Front

What is a composite transformation?

Back

A composite transformation is a combination of two or more transformations applied to a figure in a specific order.

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 does it mean to reflect a figure over the x-axis?

Back

Reflecting a figure over the x-axis means flipping it across the x-axis, changing the sign of the y-coordinates of the points.

Front

What is the effect of a 90-degree counter-clockwise rotation around the origin?

Back

A 90-degree counter-clockwise rotation around the origin transforms the point (x, y) to (-y, x).

Front

Explain the translation transformation.

Back

Translation is a transformation that moves every point of a figure a constant distance in a specified direction.

Front

What is the rule for translating a point (x, y) to the left by 3 units and up by 3 units?

Back

The rule is (x, y) → (x - 3, y + 3).

Front

How does reflecting a figure over the y-axis affect its coordinates?

Back

Reflecting over the y-axis changes the sign of the x-coordinates of the points.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.

Front

What happens to a figure when it is dilated by a scale factor of 1/2?

Back

When a figure is dilated by a scale factor of 1/2, its dimensions are reduced to half their original size.

Front

Describe the sequence of transformations: Reflect across the x-axis and then rotate -90 degrees clockwise around the origin.

Back

This sequence first flips the figure over the x-axis, then rotates it 90 degrees clockwise around the origin.