Transformations Review: Adding and Subtracting Rational Expressions

The video tutorial covers various geometric transformations, including translations, reflections, and rotations. It begins with an explanation of translations, moving figures along the x and y axes, and understanding positive and negative directions. The tutorial then explores reflections over horizontal, vertical, and diagonal lines, emphasizing the importance of counting units and switching directions. Finally, it discusses rotations, detailing the rules for 90-degree counterclockwise rotations and the effects on coordinates. The video aims to help students understand and apply these transformations to create congruent figures.

What is the result of translating a triangle seven units to the left and three units up?

• The triangle is resized.

• The triangle is slid to a new position.

• The triangle is reflected.

• The triangle is rotated.

If you move a point three units to the left on the x-axis, what happens to its x-coordinate?

• It becomes zero.

• It remains the same.

• It decreases by three.

• It increases by three.

When translating a point three units up, what happens to its y-coordinate?

• It decreases by three.

• It increases by three.

• It remains the same.

• It becomes zero.

What is a reflection in geometric transformations?

• A slide of the figure.

• A flip of the figure over a line.

• A rotation of the figure.

• A resizing of the figure.

How do you reflect a point over the x-axis?

• Count the units to the x-axis and continue the same number of units in the opposite direction.

• Slide the point horizontally.

• Rotate the point 90 degrees.

• Count the units to the y-axis and continue the same number of units in the opposite direction.

When reflecting over the line y=3, what is the first step?

• Count the units to the x-axis.

• Count the units to the y-axis.

• Slide the point horizontally.

• Count the units to the line of reflection.

How do you reflect a point across a diagonal line?

• Count the units horizontally to the line and then vertically past the line.

• Count the units vertically to the line and then horizontally past the line.

• Both a and b.

• Slide the point diagonally.

What is the result of reflecting a figure over a diagonal line?

• The figure is resized.

• The figure is translated.

• The figure is flipped over the line.

• The figure is rotated.

What happens to the coordinates of a point during a 90-degree counterclockwise rotation?

• The y-coordinate is negated.

• The x-coordinate is negated.

• The x and y coordinates are swapped, and the new y-coordinate is negated.

• The x and y coordinates are swapped, and the new x-coordinate is negated.

In a 90-degree counterclockwise rotation, what happens to the y-coordinate of the original point?

• It remains the same.

• It becomes the new y-coordinate and is negated.

• It becomes the new x-coordinate and is negated.

• It becomes zero.