Translations Homework

Front

What is a translation in geometry?

Back

A translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction.

Front

What does the vector represent in a translation?

Back

The vector represents the horizontal (x) and vertical (y) distances that a point or figure is moved during a translation.

Front

If a point A(x, y) is translated by the vector <3, -2>, what are the coordinates of the new point A'?

Back

A' will be at (x+3, y-2).

Front

What is the effect of a translation on the size and shape of a geometric figure?

Back

A translation does not change the size or shape of a geometric figure; it only changes its position.

Front

How do you find the preimage of a point after a translation?

Back

To find the preimage, subtract the translation vector from the image coordinates.

Front

If triangle ABC is translated to triangle DEF with a vector <3, -2>, what is the relationship between the two triangles?

Back

Triangles ABC and DEF are congruent; they have the same size and shape.

Front

What is the result of translating a segment PQ by a vector ?

Back

The segment PQ will be translated to a new segment P'Q' where P' and Q' are the endpoints of the translated segment.

Front

What does it mean for two segments to be equal in length after translation?

Back

It means that the translation does not affect the length of the segments; they remain the same length before and after the translation.

Front

How do you express a translation mathematically?

Back

A translation can be expressed as (x + a, y + b), where (a, b) is the translation vector.

Front

What is the translation vector if point D(3, 4) is moved to D'(5, -13)?

Back

The translation vector is (x+2, y-17).