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 reflection in geometry.

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

What is a rotation in geometry?

Back

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

Front

Explain translation in geometry.

Back

Translation is a transformation that slides a figure from one position to another without changing its shape, size, or orientation.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape the same, defined by a scale factor.

Front

How do you perform a dilation with a scale factor of 2 on point (x, y)?

Back

The new coordinates after dilation are (2x, 2y).

Front

What are the coordinates of a point after a translation of (3, 4)?

Back

If the original point is (x, y), the new coordinates after translation are (x+3, y+4).

Front

What is the formula for reflecting a point (x, y) across the y-axis?

Back

The new coordinates after reflection across the y-axis are (-x, y).

Front

How do you find the image of a triangle after a transformation?

Back

To find the image of a triangle after a transformation, apply the transformation rules to each vertex of the triangle.

Front

What is the line of symmetry?

Back

A line of symmetry is a line that divides a figure into two mirror-image halves.