Understanding Transformations in Geometry

Dr. Robinson explains transformation notation, focusing on translations. The video covers the concept of moving geometric figures using translation notation T(h,k), where h and k represent horizontal and vertical movements, respectively. Examples and practice problems are provided to illustrate how to translate figures and write translation rules. The video concludes with a sketching exercise to visualize translated figures.

What is the primary purpose of transformation in geometry?

• To change the size of a figure

• To move a figure from one position to another

• To reflect a figure

• To rotate a figure

What is the result of a translation on a geometric figure?

• It changes size

• It changes color

• It changes shape

• It changes position

In translation notation T(h, k), what does 'h' represent?

• No movement

• Vertical movement

• Horizontal movement

• Diagonal movement

What does 'k' in the translation notation T(h, k) signify?

• Horizontal movement

• Vertical movement

• Diagonal movement

• No movement

What is the notation used to represent a translation?

• P(h, k)

• T(h, k)

• S(h, k)

• R(h, k)

What happens to a figure's coordinates during a translation?

• They are added or subtracted

• They remain unchanged

• They are multiplied

• They are divided

If a figure is translated 8 units to the right, what happens to its x-coordinate?

• It decreases by 8

• It remains the same

• It increases by 8

• It decreases by 4

When translating a figure 4 units down, what happens to its y-coordinate?

• It increases by 4

• It decreases by 4

• It remains the same

• It increases by 8

What is the new figure called after a translation?

• F Prime

• F Double Prime

• F Triple Prime

• F Original

In the example, how many units is the figure moved to the right?

• 4 units

• 6 units

• 8 units

• 10 units