Unit 2B Midterm Review

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

What does the notation (x + a, y) represent in transformations?

Back

It represents a translation of a point (x, y) to the right by 'a' units.

Front

What is the result of a 90-degree rotation (R₉₀) of a point (x, y)?

Back

The result is (-y, x).

Front

What is the effect of reflecting a point across the y-axis?

Back

The x-coordinate of the point changes sign, resulting in (-x, y).

Front

What is the image of point (4, 2) after a 90-degree rotation followed by a reflection across the line y=x?

Back

The image is (-4, 2).

Front

What is the rule for reflecting a point across the line y = x?

Back

The coordinates of the point (x, y) become (y, x).

Front

What is the image of point (1, 1) under the transformation r_y-axis o R₂₇₀?

Back

The image is (-1, -1).

Front

How do you find the coordinates of a triangle after a transformation T_{2, -1} o r_y-axis?

Back

First reflect the triangle across the y-axis, then translate each vertex by (2, -1).

Front

What is the transformation T_{2, -1}?

Back

It is a translation that moves a point 2 units to the right and 1 unit down.

Front

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

Back

The y-coordinate changes sign, resulting in (x, -y).