Transformations in Geometry

The video tutorial covers the basics of transformations, including translation, rotation, and reflection. It explains how to graph these transformations, with a focus on reflecting points across the x and y axes. The tutorial includes practical examples to help students understand how to apply these concepts in graphing. The session concludes with a brief mention of upcoming topics on triangle inequality.

What is the process of moving an object in one direction without rotating it called?

• Rotation

• Scaling

• Reflection

• Translation

Which transformation involves rotating an object around a specific point?

• Reflection

• Translation

• Rotation

• Dilation

What is the result of reflecting an object over a line?

• A rotated image

• A scaled image

• A translated image

• A mirrored image

Which transformation involves creating a mirror image of an object?

• Reflection

• Rotation

• Translation

• Scaling

When reflecting a point across the x-axis, what happens to the y-coordinate?

• It doubles

• It becomes zero

• It changes sign

• It remains the same

If a point is at (2, -3) and is reflected across the x-axis, what is the new coordinate?

• (-2, -3)

• (2, -3)

• (-2, 3)

• (2, 3)

What is the effect of reflecting a point across the x-axis on its coordinates?

• X-coordinate changes sign

• Coordinates remain the same

• Y-coordinate changes sign

• Both coordinates change sign

When reflecting a point across the y-axis, what happens to the x-coordinate?

• It doubles

• It remains the same

• It becomes zero

• It changes sign

If a point is at (-1, 2) and is reflected across the y-axis, what is the new coordinate?

• (1, 2)

• (-1, 2)

• (-1, -2)

• (1, -2)

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

• X-coordinate changes sign

• Y-coordinate changes sign

• Both coordinates change sign

• Coordinates remain the same