Geo Unit 3 Pre-Test

Front

What is a reflection in geometry?

Back

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

Front

How do you reflect a point (x, y) over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new coordinates become (x, -y).

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

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

Back

To translate a point (x, y) 3 units to the right and 2 units up, the new coordinates become (x + 3, y + 2).

Front

What are the coordinates of a point after reflecting (2, 3) over the x-axis?

Back

The coordinates after reflecting (2, 3) over the x-axis are (2, -3).

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

When a point (x, y) is reflected over the y-axis, the new coordinates become (-x, y).

Front

What is the effect of a 270-degree counterclockwise rotation on a point (x, y)?

Back

A 270-degree counterclockwise rotation transforms the point (x, y) to (y, -x).

Front

If triangle vertices are in quadrant III, what transformation could move them to quadrant II?

Back

Transformations such as reflecting over the x-axis or translating up could move triangle vertices from quadrant III to quadrant II.

Front

What are the new coordinates of point A(1, 2) after a translation of 4 units left and 3 units down?

Back

The new coordinates of point A(1, 2) after the translation are (-3, -1).

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 + a, y + b).