Transformations and Reflections in Geometry

The video tutorial covers various transformation techniques in mathematics, including reflection, rotation, and translation. It provides detailed examples and step-by-step instructions on how to perform these transformations on a graph. The tutorial also combines these transformations in complex problems, offering tips and strategies for solving them effectively.

What is the scale used for the graph paper in the first example?

• 1 cm to 1 unit

• 2 cm to 1 unit

• 2 cm to 2 units

• 1 cm to 2 units

What is the range of the x-axis in the first example?

• -5 to 5

• -10 to 10

• -15 to 15

• -20 to 20

In the reflection task, which line is used as the mirror line?

• X = Y

• Y = X

• X = 0

• Y = 0

What is the new coordinate of point P after reflection over the x-axis?

• (-2, -2)

• (2, 2)

• (2, -2)

• (-2, 2)

What degree of rotation is applied to the triangle about the origin?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

After a 180-degree rotation, what is the new coordinate of point Q?

• (-4, 6)

• (4, -6)

• (4, 6)

• (-4, -6)

What is the translation vector used in the final transformation?

• (1, 2)

• (-2, -1)

• (2, 1)

• (-1, -2)

What is the new coordinate of point R after translation?

• (2, 6)

• (7, 4)

• (6, 2)

• (4, 7)

In the second example, what is the scale used for the graph paper?

• 1 cm to 2 units

• 2 cm to 2 units

• 1 cm to 1 unit

• 2 cm to 1 unit

What is the range of the y-axis in the second example?

• -15 to 15

• -6 to 6

• -5 to 5

• -10 to 10