Understanding Translations in Geometry

The video tutorial explains the concept of transformations, focusing on translations. It describes how a pre-image is moved to a new position without rotation, using horizontal and vertical shifts. An example is provided, demonstrating how to graph a triangle and its translated image using specific coordinate changes.

What is the result of a transformation in geometry?

• A reflected figure

• A scaled figure

• A new figure called the image

• A rotated figure

In a translation, how does a figure move?

• It rotates around a point

• It flips over a line

• It enlarges or shrinks

• It slides from one position to another

If a figure is translated 5 units to the left, what happens to its x-coordinate?

• It remains the same

• It decreases by 5

• It increases by 5

• It doubles

What is the new y-coordinate if a point is moved up by 3 units?

• y / 3

• y * 3

• y + 3

• y - 3

What are the coordinates of point J after translating triangle JKL by x + 2 and y - 5?

• (1, -1)

• (-1, 1)

• (1, 1)

• (-1, -1)

How do you determine the new x-coordinate when translating a point to the right by 2 units?

• Divide the x-coordinate by 2

• Multiply the x-coordinate by 2

• Add 2 to the x-coordinate

• Subtract 2 from the x-coordinate

What happens to the y-coordinate when a point is translated down by 5 units?

• It increases by 5

• It decreases by 5

• It remains the same

• It doubles

Which of the following is a correct translation notation for moving a point left by 3 and up by 4?

• (x + 3, y - 4)

• (x + 3, y + 4)

• (x - 3, y - 4)

• (x - 3, y + 4)

What is the purpose of using prime marks or apostrophes in translated figures?

• To mark the center of rotation

• To show the direction of translation

• To indicate the original figure

• To label the new image

If a point (4, 1) is translated using x + 2 and y - 5, what are the new coordinates?

• (6, 4)

• (6, -4)

• (2, 6)

• (2, -4)