Transformations Part 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, called the image.

Front

What are the types of transformations?

Back

The main types of transformations are translations, rotations, reflections, and dilations.

Front

Define translation in geometry.

Back

A translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

What is the translation vector?

Back

The translation vector indicates the direction and distance of the translation, represented as .

Front

How do you reflect a point over a line?

Back

To reflect a point over a line, find the perpendicular distance from the point to the line and place the reflected point the same distance on the opposite side of the line.

Front

What are the coordinates of the point H (3,-2) reflected over the line y = -1?

Back

H' (3, 0)

Front

What is the rule for translating triangle XYZ to triangle X'Y'Z'?

Back

Move 3 units left.

Front

What is the translation vector for moving a shape down 3 units?

Back

<0, -3>

Front

How do you determine if a translation maps one triangle onto another?

Back

Check if corresponding vertices of the triangles have the same distance and direction from each other.

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

The x-coordinate changes sign, while the y-coordinate remains the same.