Transformations Review for 8th Grade Math

The video tutorial covers geometric transformations, including translations, reflections, rotations, and dilations. It explains the rules for each transformation type, such as how to adjust coordinates for translations and reflections, and how to determine the scale factor for dilations. The tutorial also discusses the effects of these transformations on congruency, orientation, and size, providing examples and rules for each type.

What happens to the x-coordinate when a shape is translated 3 units to the right?

• It increases by 6

• It remains unchanged

• It decreases by 3

• It increases by 3

When a shape is translated 3 units down, how does the y-coordinate change?

• It remains the same

• It decreases by 3

• It decreases by 6

• It increases by 3

What is the rule for a reflection over the y-axis?

• y becomes -y, x remains the same

• No change occurs

• x becomes -x, y remains the same

• Both x and y become their opposites

Does a reflection change the size of the angles within a shape?

• Yes, all angles decrease

• Yes, all angles increase

• No, angles remain the same size

• Angles are not present in reflections

Does the orientation of vertices change in a reflection?

• Only in a reflection over the x-axis

• Only in a reflection over the y-axis

• No, never

• Yes, always

What is the result of a 90 degrees counterclockwise rotation on the coordinates?

• x becomes y, y becomes -x

• Both coordinates switch places

• Coordinates remain unchanged

• x becomes -y, y becomes x

How does a 180-degree rotation affect the coordinates of a shape?

• x and y both become their opposites

• x and y switch places

• x and y remain unchanged

• Only x becomes its opposite

What is the scale factor in a dilation that reduces a shape's size by half?

• 2

• -0.5

• 0.5

• 1

How does the perimeter of a shape change when it is dilated by a scale factor of 1/3?

• It triples in size

• It reduces to one-third of its original size

• It doubles in size

• It remains the same

In a dilation, if the scale factor is less than 1, what happens to the figure?

• It shrinks

• It enlarges

• It rotates

• It reflects