Transformations in the Coordinate Plane

This video tutorial covers the properties of translations in the coordinate plane. It explains how to graph translations by moving geometric figures, such as triangles, according to specific rules. The tutorial provides a detailed example of translating triangle XYZ by four units to the right and two units down. It emphasizes understanding and applying translation rules to determine new coordinates both graphically and algebraically. The video concludes with a summary of key concepts, including transformations, translations, rotations, and reflections.

What is the primary purpose of a translation in the coordinate plane?

• To change the size of a figure

• To rotate a figure

• To move a figure without altering its shape

• To reflect a figure across an axis

When translating a triangle four units to the right and two units down, what happens to the x-coordinates of its vertices?

• They decrease by two

• They increase by four

• They decrease by four

• They remain the same

What is the result of translating a point with coordinates (0, 0) four units to the right?

• (4, 0)

• (0, 4)

• (-4, 0)

• (0, -4)

How do you determine the new y-coordinate of a vertex when translating it two units down?

• Subtract two from the original y-coordinate

• Divide the original y-coordinate by two

• Add two to the original y-coordinate

• Multiply the original y-coordinate by two

If a point is translated and its new coordinates are (3, -2), what was the original y-coordinate if it was moved two units down?

• 2

• -2

• -4

• 0

What is the new coordinate of a point originally at (-3, 4) after a translation of four units right and two units down?

• (-3, 2)

• (-7, 6)

• (1, 6)

• (1, 2)

What is the new x-coordinate of a point originally at (-4, 0) after a translation of four units to the right?

• 0

• -8

• 4

• -4

Which of the following is NOT a type of transformation?

• Dilation

• Reflection

• Rotation

• Translation

What is the term for a transformation that slides a figure along a line without turning it?

• Dilation

• Translation

• Reflection

• Rotation

Which transformation involves flipping a figure over a line?

• Rotation

• Dilation

• Translation

• Reflection