Exploring Translations of Figures in Geometry

The video tutorial covers the concept of translation in geometry, focusing on the transformation of shapes. It introduces key vocabulary such as pre-image, image, and vector. The lesson explains how translation moves every point in a shape the same distance in a specified direction, using vectors to indicate movement. Examples are provided to illustrate the translation of a triangle and a quadrilateral, demonstrating how to calculate new coordinates after transformation. The tutorial concludes with a summary of the translation process.

What is the term used for the 'before' picture in a transformation?

• Vector

• Translation

• Image

• Pre-Image

In the transformation of triangle LMN to triangle XYZ, which point does N correspond to?

• L

• Z

• Y

• X

What does the term 'translation' refer to in geometry?

• A scaling of a shape

• A transformation that moves every point the same distance in the same direction

• A reflection of a shape

• A rotation of a shape

If a vector is given as (3, 7), what does the 7 represent?

• Move 7 units down

• Move 7 units up

• Move 7 units to the left

• Move 7 units to the right

What is the translation rule if X is subtracted by 5 and Y is added by 6?

• Move 5 units left and 6 units up

• Move 5 units right and 6 units up

• Move 5 units right and 6 units down

• Move 5 units left and 6 units down

What are the new coordinates of point A (3, -4) after applying the translation rule (X-5, Y+6)?

• (8, -10)

• (-2, -10)

• (8, 2)

• (-2, 2)

What does the term 'Prime' indicate in the context of transformations?

• A rotation

• A reflection

• A change from pre-image to image

• No change

If a quadrilateral is translated 7 units to the right and 8 units down, what is the new coordinate of point D (-3, 8)?

• (4, -4)

• (4, -1)

• (4, 0)

• (4, -8)

What is the vector for moving a shape 5 units to the left and 10 units down?

• (5, 10)

• (-5, -10)

• (-5, 10)

• (5, -10)

After translating point B (8, 3) by the vector (-5, -10), what are the new coordinates?

• (13, 7)

• (3, -7)

• (3, 7)

• (13, -7)