Transformations in Geometry

The video tutorial covers three main types of geometric transformations: translation, reflection, and dilation. Translation involves moving a shape by adding or subtracting from its coordinates. Reflection flips a shape across a line, such as the y-axis or lines with slope. Dilation changes the size of a shape by multiplying its coordinates by a scale factor. The tutorial also encourages students to practice these transformations by plotting points and applying rules for translation, reflection, and dilation.

What is the term used for the original figure before any transformation is applied?

• Post-image

• Reflection

• Pre-image

• Image

In a translation, if the rule is X + 3, Y - 2, what happens to the coordinates of a point?

• X increases by 3, Y decreases by 2

• X and Y both increase by 3

• X decreases by 3, Y increases by 2

• X and Y both decrease by 2

Which of the following is true about reflection?

• It involves shrinking a shape.

• It involves rotating a shape around a point.

• It involves flipping a shape across a line.

• It involves enlarging a shape.

If a point is 4 units to the left of the y-axis, where will it be after reflecting across the y-axis?

• 4 units to the right of the y-axis

• 4 units to the left of the y-axis

• 4 units below the x-axis

• 4 units above the x-axis

What happens to a shape when it is dilated with a scale factor greater than 1?

• The shape reflects.

• The shape enlarges.

• The shape rotates.

• The shape shrinks.

If a shape is dilated with a scale factor of 0.5, what happens to its size?

• It enlarges to twice its size.

• It remains the same.

• It doubles in size.

• It shrinks to half its size.

What remains unchanged in a shape after dilation?

• The position of the shape

• The size of the shape

• The color of the shape

• The angle measurements

What is the purpose of creating a line with a slope for reflection practice?

• To avoid using the y-axis

• To challenge the understanding of reflection

• To make the task easier

• To practice translation

Which transformation involves changing the size of a shape?

• Rotation

• Dilation

• Reflection

• Translation

What is a good way to prepare for a test on transformations?

• Only study translation

• Ignore reflection and dilation

• Practice plotting points and applying transformation rules

• Memorize all the rules