Transformations + Dilation

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, called the image.

Front

Define translation in geometry.

Back

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

Front

What is a reflection in geometry?

Back

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

Front

Explain rotation in geometry.

Back

Rotation is a transformation that turns a figure around a fixed point at a certain angle and in a specific direction.

Front

What is dilation in geometry?

Back

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

Front

How do you translate a point (x, y) 2 units right and 3 units up?

Back

The new coordinates will be (x + 2, y + 3).

Front

If a triangle is reflected over the x-axis, what happens to the coordinates of its vertices?

Back

The y-coordinates of the vertices change sign. For example, (x, y) becomes (x, -y).

Front

What is the effect of rotating a point (x, y) 90 degrees counterclockwise around the origin?

Back

The new coordinates will be (-y, x).

Front

How do you perform a dilation with a scale factor of 2 on a triangle with vertices at (1, 2), (3, 4), and (5, 6)?

Back

The new vertices will be (2, 4), (6, 8), and (10, 12).

Front

What is the formula for translating a point (x, y) to the left by 4 units and down by 5 units?

Back

The new coordinates will be (x - 4, y - 5).