Transformations in Geometry: Reflections, Translations, and Rotations

The video tutorial reviews concepts for an upcoming test on unit six, focusing on reflections and translations in geometry. It explains how to identify reflections over the x-axis and y-axis, and how to apply translation rules. The tutorial also covers rigid motion, point correspondence, and function notation for transformations. Additionally, it discusses how to perform rotations and translations on a coordinate plane, providing examples and solutions to various problems.

Which graph shows a triangle and its reflection over the x-axis?

• A

• B

• C

• D

What are the coordinates of the reflection of point P(-2, -4) over the line x = 0?

• (2, -4)

• (-2, 4)

• (2, 4)

• (-2, -4)

How many units to the right and up does a translation of (-4, 2) move a point?

• 4 units left, 2 units down

• 4 units right, 2 units down

• 4 units left, 2 units up

• 4 units right, 2 units up

If a figure is reflected over the y-axis, what happens to the x-coordinates of its points?

• They become positive

• They become negative

• They remain the same

• They switch with the y-coordinates

What is the image of point (1, 2) after a reflection across the y-axis?

• (2, 1)

• (-1, 2)

• (-1, -2)

• (1, -2)

Which transformation rule describes a translation of triangle ABC eight units to the right?

• Add 8 to y-coordinates

• Subtract 8 from y-coordinates

• Add 8 to x-coordinates

• Subtract 8 from x-coordinates

What is the result of rotating point (3, 0) 270 degrees counterclockwise about the origin?

• (-3, 0)

• (0, -3)

• (3, 0)

• (0, 3)

What is the translation rule for moving a point six units to the left and five units down?

• (x + 6, y - 5)

• (x - 6, y - 5)

• (x - 6, y + 5)

• (x + 6, y + 5)

What is the image of point (4, 3) after a 180-degree rotation?

• (3, 4)

• (-4, 3)

• (4, -3)

• (-4, -3)

What is the reflection of point (5, 6) over the x-axis?

• (6, 5)

• (-5, -6)

• (-5, 6)

• (5, -6)