Transformations with Similar Triangles

Front

What is a transformation in geometry?

Back

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

Front

What are similar triangles?

Back

Similar triangles are triangles that have the same shape but may have different sizes. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape. It involves a center point and a scale factor.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a shape. A scale factor greater than 1 enlarges the shape, while a scale factor less than 1 reduces it.

Front

What does it mean to reflect a shape?

Back

To reflect a shape means to flip it over a line (the line of reflection) to create a mirror image.

Front

What is the difference between enlargement and reduction in dilation?

Back

Enlargement increases the size of a shape (scale factor > 1), while reduction decreases the size of a shape (scale factor < 1).

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is a translation in geometry?

Back

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

Front

How do you find the image of a point after dilation?

Back

To find the image of a point after dilation, multiply the coordinates of the point by the scale factor.

Front

What is the result of reflecting a triangle over the Y-axis?

Back

The X-coordinates of the triangle's vertices change sign, while the Y-coordinates remain the same.