Geometry TNReady Flashcard 4 EOC

Front

What is a translation in geometry?

Back

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

Front

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

Back

To find the image of a point after a translation, add the translation vector to the original coordinates. For example, for a translation of \( (x, y) \rightarrow (x + a, y + b) \), the new coordinates are \( (x + a, y + b) \).

Front

What are the coordinates of the image of A(9,-4) after a translation of (x,y)→(x-10,y+2)?

Back

A(-1,-2)

Front

What is a reflection in geometry?

Back

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

Front

Describe the transformation: reflection across x=-2.

Back

This transformation flips the figure over the vertical line x=-2.

Front

What are the coordinates of the image of B(-5,3) after a translation of (x,y)→(x+7,y-4)?

Back

B(2,-1)

Front

What are the coordinates of the image of B(7,-6) after a translation of (x,y)→(x-5,y+3)?

Back

B(2,-3)

Front

What is the smallest angle of rotation that carries a figure onto itself?

Back

The smallest angle of rotation that carries a figure onto itself is the angle that, when applied, results in the figure appearing unchanged.

Front

What is the angle of rotation for a regular hexagon?

Back

The angle of rotation for a regular hexagon is 60°.

Front

What is the angle of rotation for a regular triangle?

Back

The angle of rotation for a regular triangle is 120°.