Geometry TNReady Review Practice 4 EOC

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. Common types include translations, rotations, reflections, and dilations.

Front

Define translation in geometry.

Back

A translation is a type of transformation that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

Front

What does it mean to reflect a shape across the x-axis?

Back

Reflecting a shape across the x-axis means flipping it over the x-axis, resulting in a new shape where each point's y-coordinate changes sign.

Front

How do you perform a 90-degree clockwise rotation about the origin?

Back

To rotate a point (x, y) 90 degrees clockwise about the origin, the new coordinates become (y, -x).

Front

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

Back

The result is (-a, b), where the x-coordinate changes sign while the y-coordinate remains the same.

Front

Explain what a regular octagon is.

Back

A regular octagon is an eight-sided polygon where all sides are of equal length and all interior angles are equal, each measuring 135 degrees.

Front

What is the formula for translating a point (x, y) by (a, b)?

Back

The formula for translating a point (x, y) by (a, b) is (x, y) → (x + a, y + b).

Front

Describe a 135-degree clockwise rotation in terms of coordinates.

Back

A 135-degree clockwise rotation can be achieved by first rotating 90 degrees clockwise (y, -x) and then an additional 45 degrees, which can be calculated using trigonometric functions.

Front

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

Back

If the original point is (x, y), after reflecting across the x-axis, the new coordinates will be (x, -y).

Front

How do you find the image of a point after a translation?

Back

To find the image of a point after a translation, apply the translation rule to the original coordinates. For example, for (x, y) → (x-5, y+3), subtract 5 from x and add 3 to y.