Reflections on the Coordinate Plane

The video tutorial explains the concept of reflection as a geometric transformation that maintains the size and shape of figures. It demonstrates how to reflect a triangle over the y-axis, x-axis, and both axes on a coordinate plane. The tutorial provides step-by-step instructions for each reflection, highlighting how the x and y values of ordered pairs change. The video concludes with a summary of the rules for reflecting over the x and y axes.

What is a reflection in the context of transformations?

• A transformation that maintains the size and shape of a figure

• A transformation that alters the color of a figure

• A change in size and shape of a figure

• A transformation that rotates a figure

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

• It doubles

• It becomes its opposite

• It remains the same

• It becomes zero

Which of the following statements is true about reflections over the y-axis?

• The x-coordinate doubles

• Both coordinates remain unchanged

• The x-coordinate becomes its opposite

• The y-coordinate becomes zero

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

• It becomes zero

• It becomes its opposite

• It remains the same

• It doubles

What is the new location of point A (1, 4) after reflecting over the x-axis?

• (1, 4)

• (-1, -4)

• (1, -4)

• (-1, 4)

After reflecting a point over both the x and y axes, what happens to its coordinates?

• Both coordinates remain the same

• Both coordinates become their opposites

• Only the x-coordinate changes

• Only the y-coordinate changes

What is the final position of point C (3, 2) after reflecting over both axes?

• (-3, 2)

• (3, -2)

• (3, 2)

• (-3, -2)