Exploring Sequence of Transformations in 9.6 Notes

Why is the order of transformations important?

• It determines the size of the shape.

• It changes the color of the shape.

• It affects the final position and shape.

• It has no effect on the transformations.

What happens to a point (2, 1) after a reflection across the x-axis?

• (2, -1)

• (-2, 1)

• (2, 1)

• (-2, -1)

What is the rule for rotating a point 90 degrees counterclockwise around the origin?

• (x, y)

• (-x, -y)

• (y, -x)

• (-y, x)

How do you translate a point one unit left and five units down?

• Add 1 to x and 5 to y

• Subtract 1 from x and 5 from y

• Add 1 to y and 5 to x

• Subtract 1 from y and 5 from x

What is the result of dilating a point (-2, 1) by a scale factor of 2?

• (-1, 0.5)

• (-2, 2)

• (-4, 2)

• (-4, 1)

What is the rule for rotating a point 180 degrees around the origin?

• Change the sign of y only

• Swap x and y

• Change the signs of both x and y

• Change the sign of x only

What does a reflection over the y-axis do to a point (x, y)?

• Leaves it unchanged

• Changes it to (x, -y)

• Changes it to (-x, y)

• Changes it to (-x, -y)

What is the effect of a dilation with a scale factor of one third?

• Subtracts 3 from each coordinate

• Divides each coordinate by 3

• Multiplies each coordinate by 3

• Adds 3 to each coordinate

If a shape is similar to another, what can be said about their angles?

• Angles are doubled

• Only some angles are congruent

• All angles are congruent

• All angles are different

What transformation is indicated by a change in size?

• Dilation

• Reflection

• Rotation

• Translation