Understanding Translations in Geometry

Mr. Walker introduces the concept of translations in geometry, emphasizing the importance of understanding both the visual and theoretical aspects. He defines translation as a slide of a figure, maintaining its shape and size, and explains the role of translation vectors in determining direction and distance. The lesson includes a detailed example of translating a triangle on a coordinate plane, followed by practice problems to reinforce the concept. The video concludes with instructions on graphing translations and understanding reverse transformations.

What is the primary characteristic of a translation in geometry?

• It reflects the figure across an axis.

• It slides the figure without altering its shape.

• It rotates the figure.

• It changes the size of the figure.

What does a translation vector describe?

• The distance and direction of movement.

• The size of the figure.

• The angle of rotation.

• The color of the figure.

In the example of triangle ABC, what is the new x-coordinate of point A after translating 3 units left?

• 1

• -2

• 0

• 4

How do you determine the new y-coordinate when translating a point 4 units down?

• Add 4 to the original y-coordinate.

• Subtract 4 from the original y-coordinate.

• Multiply the original y-coordinate by 4.

• Divide the original y-coordinate by 4.

What happens to the x-coordinate when a point is translated 0 units horizontally?

• It is added by 0.

• It remains unchanged.

• It is multiplied by 0.

• It is subtracted by 0.

If a point is translated 6 units to the right, what operation is performed on the x-coordinate?

• Add 6

• Divide by 6

• Multiply by 6

• Subtract 6

What does the apostrophe symbol (') indicate in the notation of a transformed point?

• The point is a midpoint.

• The point is a vertex.

• The point has been transformed.

• The point is an endpoint.

When graphing a transformation, what is the term for the original shape before transformation?

• End-image

• Post-image

• Mid-image

• Pre-image

What is the result of translating a point 5 units left and 0 units up?

• The y-coordinate decreases by 5.

• The y-coordinate increases by 5.

• The x-coordinate increases by 5.

• The x-coordinate decreases by 5.

How do you reverse a translation of 3 units left and 4 units down?

• Translate 3 units right and 4 units up.

• Translate 3 units left and 4 units up.

• Translate 3 units right and 4 units down.

• Translate 3 units left and 4 units down.