Exploring the Translation Rule in Geometry

This video tutorial covers transformations on the coordinate plane, focusing on translations. It explains how translations move every point of a figure the same distance in the same direction, creating a congruent image. The tutorial details how to determine and apply translation rules by adding or subtracting from coordinates. It also discusses identifying preimage and image, and verifying translation results on a graph.

What are the types of transformations discussed in the video?

• Translations, reflections, rotations, dilations

• Scaling, skewing, flipping, rotating

• Shifting, turning, resizing, reversing

• Moving, rotating, reflecting, stretching

What does a translation do to a figure on the coordinate plane?

• Moves every point the same distance in the same direction

• Rotates it around a point

• Flips the figure over a line

• Changes the size of the figure

What does congruent mean in the context of translations?

• The figures overlap completely

• The figures are identical in shape and size

• The figures have the same shape but different orientations

• The figures are of different sizes

How do you determine which figure is the original and which is the translated image?

• Through the apostrophe marks on the labels

• By the color of the figures

• Using the dashed lines

• By the size of the figures

How do you find the new coordinates after a translation?

• By comparing the coordinates to a reference point

• By adding or subtracting values from the original coordinates

• By dividing the original coordinates

• By multiplying the original coordinates

What is the purpose of the apostrophe marks in labeling translated figures?

• To mark the vertices of the figure

• To show the direction of translation

• To differentiate the image from the pre-image

• To indicate the original figure

What happens to the coordinates of a point during a translation?

• They are multiplied by a constant

• They remain unchanged

• They are either added or subtracted from

• They are divided by a constant

What does subtracting from the x-coordinate do to a point on the graph?

• Moves it down

• Moves it up

• Moves it right

• Moves it left

What is the result of applying a translation rule to a figure?

• The figure rotates

• The figure changes size

• The figure flips over an axis

• The figure moves to a new position without changing shape or size

What is the rule for translating a figure using X + 3 and Y - 4?

• Move 3 units right and 4 units down

• Move 3 units up and 4 units right

• Move 3 units left and 4 units up

• Move 3 units down and 4 units left