Reflecting Points in the Coordinate Plane

What is the primary goal of learning about reflections in this video?

• To solve advanced calculus problems

• To identify and reflect figures on coordinate axes

• To perform complex algebraic calculations

• To learn about historical figures in mathematics

What does a transformation in geometry typically involve?

• Writing equations for lines

• Calculating the area of a figure

• Moving a figure on a coordinate plane

• Changing the color of a figure

Which axis do you use for a reflection that flips a figure left or right?

• None of the above

• z-axis

• y-axis

• x-axis

In the context of congruence, what must be true about the figures after a reflection?

• They must have the same size and shape

• They must be a different color

• They must be larger

• They must be smaller

How can you determine if a figure has been reflected over a line of reflection?

• The figure will overlap when folded over the line

• The figure will change color

• The figure will be rotated

• The figure will be translated

Which of the following is a real-world example of a reflection?

• Mirror image in water

• Sunset

• Painting on a wall

• Shadow of a tree

What is the rule for reflecting a point over the x-axis?

• x-coordinate changes, y-coordinate remains the same

• y-coordinate changes, x-coordinate remains the same

• Both coordinates change

• Neither coordinate changes

What happens to the x-coordinate when reflecting a figure over the y-axis?

• It becomes zero

• It becomes the opposite of its original value

• It stays the same

• It becomes negative

After reflecting a figure over the y-axis, how does the y-coordinate change?

• It becomes negative

• It remains unchanged

• It becomes zero

• It doubles

What is the correct reflection of point A(3, 4) over the x-axis?

• A'(4, 3)

• A'(-3, 4)

• A'(3, -4)

• A'(-4, -3)