Transformations in Geometry

The video tutorial covers various rigid transformations, including translation, reflection, and rotation. It provides detailed explanations and examples of how to identify and apply these transformations to different triangles. The tutorial also includes problem-solving strategies and tips for understanding the effects of each transformation on the orientation and position of geometric figures.

Which transformation keeps the orientation of a shape unchanged?

• Reflection

• Rotation

• Translation

• Scaling

Which transformation involves moving a shape without rotating or flipping it?

• Dilation

• Rotation

• Reflection

• Translation

What is the key indicator that a transformation is a rotation?

• The orientation of the shape changes

• The shape is flipped

• The shape is enlarged

• The shape is moved to a different quadrant

What transformation is indicated by a change in both position and orientation?

• Reflection

• Translation

• Rotation

• Dilation

When reflecting a point over the x-axis, what happens to the coordinates?

• Neither coordinate changes sign

• Both coordinates change sign

• The y-coordinate changes sign

• The x-coordinate changes sign

In a reflection over the y-axis, which coordinate remains unchanged?

• Y-coordinate

• Neither coordinate

• X-coordinate

• Both coordinates

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

• Both coordinates change sign

• The x-coordinate changes sign

• The y-coordinate changes sign

• Neither coordinate changes sign

What is the first step in performing a 90-degree counterclockwise rotation?

• Swap the coordinates

• Change the sign of the x-coordinate

• Reflect over the x-axis

• Change the sign of the y-coordinate

How do you determine the direction of a 90-degree rotation?

• By changing the sign of both coordinates

• By swapping the coordinates

• By observing the change in orientation

• By checking the quadrant

If a shape's coordinates are swapped and the new y-coordinate changes sign, what transformation has occurred?

• Reflection over the x-axis

• 90-degree counterclockwise rotation

• Reflection over the y-axis

• 90-degree clockwise rotation