Geometry Assessment 1

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape. Common types include translation, rotation, reflection, and dilation.

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a shape from one position to another without turning it. It is defined by a vector that indicates the direction and distance of the slide.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, known as the center of rotation, by a certain angle in a specific direction.

Front

Explain reflection in geometry.

Back

Reflection is a transformation that flips a shape over a line, known as the line of reflection, creating a mirror image of the original shape.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but not its shape. It is defined by a scale factor that determines how much the shape is enlarged or reduced.

Front

What does the notation (x, y) → (x + a, y + b) represent?

Back

This notation represents a translation of a point (x, y) by a horizontal shift of 'a' units and a vertical shift of 'b' units.

Front

How do you calculate the perimeter of a polygon?

Back

The perimeter of a polygon is calculated by adding the lengths of all its sides.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by the formula P = 2(length + width).

Front

Define a regular hexagon.

Back

A regular hexagon is a six-sided polygon where all sides are of equal length and all interior angles are equal, each measuring 120 degrees.

Front

What are the symmetries of a regular hexagon?

Back

A regular hexagon has 6 lines of reflectional symmetry and can be rotated by angles of 60°, 120°, 180°, 240°, 300°, and 360° to map onto itself.