Reflections in the Coordinate Plane

The video tutorial explains reflections on the coordinate plane, a type of transformation that maintains the size and shape of figures. It uses the example of a triangle with points A(1,4), B(4,4), and C(3,2) to demonstrate reflections over the Y-axis, X-axis, and both axes. The tutorial highlights how the x and y values of ordered pairs change during these reflections, emphasizing that reflecting over the Y-axis changes the x values to their opposites, while reflecting over the X-axis changes the y values. Reflecting over both axes changes both x and y values to their opposites.

What does a reflection transformation do to a figure?

• Changes its shape

• Rotates the figure

• Keeps the size and shape the same

• Changes its size

What analogy is used to introduce the concept of reflection?

• Light through a prism

• Reflection in a puddle

• Shadow on the ground

• Mirror in a bathroom

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

• (-4, -1)

• (1, -4)

• (-1, 4)

• (4, 1)

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

• It doubles

• It becomes zero

• It remains unchanged

• It becomes its opposite

What is the result of reflecting point B (4, 4) over the x-axis?

• (4, -4)

• (-4, 4)

• (4, 4)

• (-4, -4)

After reflecting over the x-axis, what change occurs to the y-values?

• They are squared

• They become their opposite

• They remain the same

• They become positive

What happens to the x-value when reflecting a point over the x-axis?

• It remains unchanged

• It is halved

• It becomes its opposite

• It is squared

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

• (-3, 2)

• (-3, -2)

• (2, 3)

• (3, -2)

How do you reflect a point over both the x and y axes?

• Keep the coordinates the same

• Swap the coordinates

• Double both coordinates

• Change the sign of both coordinates

After reflecting point A (1, 4) over both axes, what is its new position?

• (1, -4)

• (-1, 4)

• (-1, -4)

• (1, 4)