Bell Work- Transformations

Front

What is a reflection in geometry?

Back

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

Front

How do you find the coordinates of a point after reflecting across the x-axis?

Back

To find the coordinates after reflecting across the x-axis, change the sign of the y-coordinate. For example, (x, y) becomes (x, -y).

Front

What does it mean to translate a figure?

Back

To translate a figure means to slide it from one position to another without changing its shape or orientation.

Front

What is the effect of a translation of (4, -3) on a point (x, y)?

Back

The new coordinates will be (x + 4, y - 3).

Front

Define dilation in geometry.

Back

Dilation is a transformation that alters the size of a figure, either enlarging or reducing it, while maintaining its shape.

Front

What is the scale factor in dilation?

Back

The scale factor is the ratio of the size of the image to the size of the original figure. A scale factor greater than 1 enlarges the figure, while a scale factor less than 1 reduces it.

Front

If a triangle has vertices A(1,2), B(3,4), and C(5,6), what are the coordinates after a dilation with a scale factor of 2?

Back

A(2,4), B(6,8), C(10,12).

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a point, while reflection flips it over a line.

Front

How do you perform a reflection across the y-axis?

Back

To reflect a point (x, y) across the y-axis, change the sign of the x-coordinate. The new point will be (-x, y).

Front

What is the result of translating a point (2, 3) down 5 and right 2?

Back

The new coordinates will be (4, -2).