Geometric Transformations

Front

What is a geometric transformation?

Back

A geometric transformation is an operation that moves or changes a shape in a specific way, such as translation, rotation, reflection, or enlargement.

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a shape a certain distance in a specified direction without changing its size, shape, or orientation.

Front

What is the rule for translating a point (x, y) 2 units left and 3 units up?

Back

The rule is (x, y) → (x - 2, y + 3).

Front

What does a 90° clockwise rotation do to the coordinates (x, y)?

Back

The coordinates change according to the rule (x, y) → (y, -x).

Front

Identify the transformation: (x, y) → (x, -y).

Back

This transformation is a reflection across the x-axis.

Front

What is the result of a 180° rotation on the point (x, y)?

Back

The coordinates change to (-x, -y).

Front

What type of transformation is a flip over a line?

Back

This is called a reflection.

Front

If a shape is enlarged by a scale factor of 2, what happens to its dimensions?

Back

All dimensions of the shape are multiplied by 2, making it twice as large.

Front

What is the effect of a translation of 5 units right and 1 unit down on the point (3, 4)?

Back

The new coordinates will be (3 + 5, 4 - 1) = (8, 3).

Front

What is the rule for a 270° clockwise rotation?

Back

The rule is (x, y) → (-y, x).