Describing Translations Using Coordinates

This video tutorial teaches how to describe translations using coordinates. It explains that translations involve moving a figure without changing its size or shape, only its position. The tutorial demonstrates translating a figure 4 units right and 5 units down, showing how to adjust x and y coordinates accordingly. It provides step-by-step calculations for each point and verifies the results on a graph, ensuring the translation is performed correctly. The lesson concludes by confirming the translated figure is congruent to the original.

What happens to the size and shape of a figure during a translation?

• Only the shape changes.

• They change along with the position.

• They remain the same while the position changes.

• Only the size changes.

How do you find the new x-coordinate of a point after translating it 4 units to the right?

• Subtract 4 from the original x-coordinate.

• Divide the original x-coordinate by 4.

• Add 4 to the original x-coordinate.

• Multiply the original x-coordinate by 4.

What is the new y-coordinate of a point if it is moved 5 units down?

• Divide the original y-coordinate by 5.

• Multiply the original y-coordinate by 5.

• Subtract 5 from the original y-coordinate.

• Add 5 to the original y-coordinate.

After translating point A, what are the coordinates of A' if A was originally at (3, 1)?

• (3, 6)

• (7, 6)

• (3, -4)

• (7, -4)

What confirms that a translation has been performed correctly on a graph?

• The translated figure is smaller than the original.

• The translated figure is larger than the original.

• The translated figure is congruent and correctly positioned relative to the original.

• The translated figure is a different shape than the original.