Exploring Translations, Reflections, and Rotations

The video tutorial covers the concepts of geometric transformations, including translations, reflections, and rotations. It explains how to identify and graph these transformations on geometric figures and polygons. The tutorial provides examples of each transformation type, demonstrating how to perform them on a coordinate plane. Students are guided through exercises to practice graphing transformations, enhancing their understanding of how these movements affect geometric shapes.

What is the correct representation of an ordered pair in coordinate geometry?

• (x, x)

• (y, x)

• (x, y)

• (y, y)

If a point (7, -4) is translated by subtracting 3 from the x-coordinate and 2 from the y-coordinate, what is the new location?

• (4, -6)

• (10, -2)

• (4, -2)

• (10, -6)

What transformation involves sliding an object from one position to another without altering its orientation?

• Dilation

• Translation

• Reflection

• Rotation

Which transformation is described as a 'flip' over an axis?

• Reflection

• Rotation

• Translation

• Scaling

What is the result of reflecting a point across the x-axis if the original point is (0, 3)?

• (0, 3)

• (3, 0)

• (0, -3)

• (-3, 0)

If a triangle is reflected across the y-axis, and one vertex is at (5, 0), where is the reflected vertex?

• (-5, 0)

• (5, 0)

• (0, 5)

• (0, -5)

During a translation, if every point of a shape moves left 4 units and down 2 units, what is this action called?

• Shearing

• Rotation

• Reflection

• Translation

What happens to a point on the x-axis when it is reflected across the x-axis?

• It moves to the opposite side of the x-axis

• It stays in the same position

• It moves to the y-axis

• It disappears

What does a 180-degree rotation around a point typically result in?

• A mirror image across the point

• A shift to a new location

• No change in position

• A flip over the point

In a 180-degree rotation about a vertex, if a point is 4 units to the right of the vertex, where will it be after the rotation?

• 4 units to the left

• 4 units to the right

• 8 units to the right

• No change in position