Exploring Transformations on the Coordinate Plane

The video tutorial covers transformations in the XY coordinate plane, including translation, reflection, and rotation. It begins with an introduction to these concepts, followed by graphing points and demonstrating translation. The tutorial then explores reflection over the Y-axis and X-axis, and discusses double reflection and 180-degree rotation. Finally, it examines reflection across the line Y=X, summarizing key transformation rules.

What happens to point A after a translation of -3 in X and +4 in Y?

• It remains unchanged.

• It moves left 3 units and up 4 units.

• It moves left 4 units and up 3 units.

• It moves right 3 units and down 4 units.

Which transformation does not change the position of points on the XY plane?

• Rotation

• Reflection

• Translation

• No transformation

What is the effect of a translation transformation on the coordinates of a point?

• Changes both coordinates according to given values

• Reflects the point over an axis

• Rotates the point around the origin

• No change to the coordinates

What type of transformation occurs when the X value is negated?

• Rotation

• Translation

• Reflection over the X-axis

• Reflection over the Y-axis

If a point is reflected over the Y-axis, what happens to its X coordinate?

• It remains the same.

• It is doubled.

• It becomes negative.

• It becomes zero.

What transformation is applied if only the Y coordinate is negated?

• Reflection over the X-axis

• Reflection over the Y-axis

• Translation

• Rotation

In a reflection over the X-axis, what happens to the Y coordinate?

• It is negated.

• It is doubled.

• It remains unchanged.

• It becomes zero.

What is the result of negating both X and Y coordinates of a point?

• Rotation of 180 degrees around the origin

• Reflection over the line Y = X

• Translation

• No change

What does flipping the X and Y coordinates of a point represent?

• Reflection over the line Y = X

• Rotation of 180 degrees

• Reflection over the X-axis

• Translation

What transformation is described by switching the X and Y coordinates?

• Reflection over the line Y = X

• Translation

• Rotation of 180 degrees

• Reflection over the X-axis