Exploring Translations on the Coordinate Plane

The video tutorial explains translations on the coordinate plane, defining them as transformations that slide figures without altering their shape or size. It covers how to represent translations algebraically by adjusting x and y coordinates. The tutorial provides examples of translating points in different directions and describes how to write algebraic rules for these translations. It also includes exercises on describing translations using tables.

What does a translation on the coordinate plane typically involve?

• Increasing the size of a figure

• Changing the color of a figure

• Moving a figure left, right, up, or down

• Rotating a figure around a fixed point

What is the result of translating a point to the right on the x-axis?

• Decrease in the x value

• Increase in the x value

• Decrease in the y value

• No change in the x value

How is a translation up represented algebraically for the y-coordinate?

• y minus a constant

• y plus a constant

• x plus a constant

• No change to y

If a point at (5,5) is translated 3 units right, what is the new x-coordinate?

• 2

• 3

• 8

• 5

What happens to the y-coordinate when a point is translated down?

• It decreases

• It increases

• It becomes zero

• It remains the same

After translating a point left by 3 units, how does the x-coordinate change?

• Increases by 5

• Decreases by 3

• Remains unchanged

• Increases by 3

What is the algebraic rule for a translation that moves a point 4 units right and 4 units down?

• x + 4, y + 4

• x - 4, y - 4

• x + 4, y - 4

• x - 4, y + 4

How do you verify the correctness of an algebraic rule for translation?

• By measuring the distance moved

• By changing the figure's shape

• By checking the original and new coordinates

• By guessing and checking

What does a decrease in the y-value indicate about the direction of translation?

• Movement to the right

• Movement to the left

• Movement upwards

• Movement downwards

If the x-value of a point increases by 6, what does it suggest about the translation?

• It moved 6 units left

• It moved 6 units right

• It moved 6 units up

• It moved 6 units down