Transformations in Coordinate Geometry

The video tutorial explains the concept of composition of transformations, demonstrating how to perform a series of transformations such as translation and reflection. It provides examples and practice exercises, emphasizing the importance of the order in which transformations are applied. The tutorial ensures that the resulting images remain congruent to the original pre-image.

What is the process called when performing a series of two or more transformations?

• Transformation chain

• Series of transformations

• Composition of transformations

• Transformation sequence

In a translation transformation, what happens to the y-coordinate if the rule specifies 'Y by itself'?

• It is subtracted by 7

• It is halved

• It is doubled

• It remains unchanged

What is the result of applying the translation rule 'subtract 7 from the x-coordinate' to the point (3, 2)?

• (10, 2)

• (-7, 2)

• (-4, 2)

• (3, -5)

What is the result of applying the translation rule 'subtract 7 from the x-coordinate' to the point (10, 3)?

• (3, 3)

• (17, 3)

• (10, -4)

• (3, -4)

What is the result of applying a translation rule 'subtract 7 from the x-coordinate' to the point (0, 0)?

• (0, 7)

• (-7, 0)

• (7, 0)

• (0, -7)

What is the result of applying a translation rule 'subtract 7 from the x-coordinate' to the point (-1, -1)?

• (-8, -1)

• (6, -1)

• (-1, -8)

• (-1, 6)

What is the result of applying a translation rule 'subtract 7 from the x-coordinate' to the point (1, 0)?

• (1, -7)

• (-6, 0)

• (8, 0)

• (1, 7)

When reflecting over the x-axis, what happens to the y-coordinate?

• It is doubled

• It is negated

• It is added to the x-coordinate

• It remains the same

Which coordinates are used to find the second image in a series of transformations?

• Original pre-image coordinates

• Coordinates from the final image

• Coordinates from the first image

• Random coordinates

What is the result of applying a reflection over the x-axis to the point (5, -2)?

• (-5, 2)

• (-5, -2)

• (5, 2)

• (5, -2)