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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.

Front

What are the three main types of transformations?

Back

Translation (Slide), Rotation (Turn), Reflection (Flip).

Front

Define Translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in a given direction.

Front

What does the notation (x, y) --> (x + a, y + b) represent?

Back

It represents a translation where the shape is moved 'a' units horizontally and 'b' units vertically.

Front

If a triangle is translated 6 units up and 0.5 units right, what is the translation rule?

Back

(x, y) --> (x + 0.5, y + 6).

Front

What does a reflection transformation do?

Back

A reflection transformation flips a shape over a line, creating a mirror image.

Front

How do you describe a translation of (x, y) --> (x + 2, y - 3)?

Back

It is a slide right 2 units and down 3 units.

Front

What is the result of translating a point (3, 4) using the rule (x, y) --> (x + 2, y - 3)?

Back

The new point will be (5, 1).

Front

What is the effect of a rotation transformation?

Back

A rotation transformation turns a shape around a fixed point, called the center of rotation.

Front

If triangle XYZ is translated 15 units down and 6 units right, what is the translation rule?

Back

(x, y) --> (x + 6, y - 15).