Transformations and Coordinate Geometry

The video tutorial explains how to transform triangle GHS using a composition of transformations, specifically dilation and translation. It begins by introducing the triangle and its vertices, then details the process of performing a dilation with a scale factor of two. Following this, the tutorial covers translating the dilated coordinates and concludes with graphing the final transformed triangle.

What are the original coordinates of triangle GHS?

• G(3,1), H(5,3), S(1,4)

• G(3,3), H(5,5), S(1,1)

• G(1,3), H(3,5), S(4,1)

• G(3,5), H(1,3), S(4,1)

What is the first transformation to be applied in a composition of transformations?

• The first one listed

• The last one listed

• The one with the largest scale factor

• The one with the smallest scale factor

What is the purpose of performing a composition of transformations?

• To apply multiple transformations in a specific order

• To simplify the figure

• To find the center of the figure

• To change the color of the figure

Which transformation is applied first in this problem?

• Dilation

• Reflection

• Rotation

• Translation

What is the scale factor used for the dilation of triangle GHS?

• 4

• 2

• 1

• 3

How do you calculate the new coordinates after dilation?

• Divide each coordinate by the scale factor

• Multiply each coordinate by the scale factor

• Subtract the scale factor from each coordinate

• Add the scale factor to each coordinate

What are the coordinates of G after dilation?

• (3, 1)

• (9, 3)

• (6, 2)

• (6, 3)

What is the result of applying a scale factor of 2 to the X-coordinate of G?

• 1

• 6

• 3

• 9

What is the rule for the translation applied to the dilated coordinates?

• Add 3 to X, subtract 1 from Y

• Add 1 to X, subtract 3 from Y

• Subtract 1 from X, add 3 to Y

• Subtract 3 from X, add 1 to Y

What are the coordinates of H after translation?

• (7, 6)

• (9, 7)

• (7, 5)

• (10, 7)