Exploring Reflections in the Coordinate Plane

The video tutorial introduces the concept of transformations, focusing on reflections. It explains key vocabulary such as pre-image and image, and the importance of notation in geometry. The tutorial demonstrates how to reflect points over the Y-axis, X-axis, and the line Y=X, highlighting patterns in coordinate changes. The video emphasizes understanding the reasoning behind reflections rather than memorizing rules.

What does the term 'pre-image' refer to in geometric transformations?

• The coordinate system used

• The original figure before transformation

• The figure after transformation

• The line over which the figure is reflected

What does the prime symbol (') indicate in geometric transformations?

• It marks the original figure

• It represents the coordinate system

• It denotes the transformed figure

• It indicates the line of reflection

Which of the following best describes a reflection in geometry?

• A change in the size of a figure

• A rotation of a figure around a point

• A flip of a figure over a line, creating a mirror image

• A shift of a figure along a straight line

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

• Both coordinates are negated

• The y-coordinate is negated

• The x-coordinate is negated

• No change occurs

If a point is located at (3, -3) in the fourth quadrant, what will be its new coordinates after reflection over the y-axis?

• (-3, 3)

• (3, -3)

• (3, 3)

• (-3, -3)

What is the result of reflecting a point over the x-axis in terms of its y-coordinate?

• The y-coordinate remains the same

• The y-coordinate is negated

• The x-coordinate is negated

• Both coordinates are negated

After reflecting a point over the x-axis, if the original point was (2, 1), what will be the new coordinates?

• (2, 1)

• (-2, -1)

• (-2, 1)

• (2, -1)

If a point is reflected over the x-axis and its original coordinates were (3, 4), what will be the new coordinates?

• (3, 4)

• (-3, -4)

• (-3, 4)

• (3, -4)

What transformation occurs to the coordinates when a point is reflected over the line y = x?

• Only the y-coordinate is negated

• The x and y coordinates swap places

• The x and y coordinates are negated

• Only the x-coordinate is negated

If a point at (6, 0) is reflected over the line y = x, what will be its new coordinates?

• (0, 6)

• (-6, 0)

• (0, -6)

• (6, 0)