Transformations in Geometry

What is a transformation in geometry?

• A transformation is an operation that moves or changes a shape in some way to produce a new shape.

• A transformation is a method to calculate the area of a shape.

• A transformation is a technique used to measure angles in geometry.

• A transformation is a way to classify shapes based on their properties.

What is the algebraic representation for reflecting a figure over the x-axis?

• (x, y) → (x, -y)

• (x, y) → (-x, y)

• (x, y) → (-x, -y)

• (x, y) → (y, x)

How many lines of symmetry does a hexagon have?

• 4

• 5

• 6

• 8

What is the result of a translation of a point (3, 4) by (2, -1)?

• (5, 3)

• (4, 5)

• (6, 3)

• (3, 5)

What is the algebraic representation for rotating a point 90° clockwise?

• (x, y) → (y, -x)

• (x, y) → (-y, x)

• (x, y) → (x, -y)

• (x, y) → (-x, -y)

Which rule describes rotating a point 180° clockwise?

• (x, y) → (-x, -y)

• (x, y) → (y, x)

• (x, y) → (x, -y)

• (x, y) → (-y, -x)

What is the effect of a rotation of 270° counterclockwise on the point (1, 0)?

• (0, -1)

• (1, 0)

• (-1, 0)

• (0, 1)

What is the result of reflecting the point (5, -3) over the x-axis?

• (5, 3)

• (-5, -3)

• (5, -3)

• (-5, 3)

Rotate the point K (7, 8) around the origin 90° counterclockwise. What is the image of K'?

• K' (8, -7)

• K' (-7, -8)

• K' (-8, 7)

• K' (7, -8)

Reflecting over the y-axis CHANGES the ____-_____________.

• x-coordinate

• y-coordinate

• z-coordinate

• origin