3.4 Flashcard Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape. Common transformations include translations, rotations, reflections, and dilations.

Front

Define reflection in geometry.

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image of the original shape.

Front

What does it mean to rotate a shape?

Back

To rotate a shape means to turn it around a fixed point, called the center of rotation, by a certain angle.

Front

What is the difference between clockwise and counter-clockwise rotation?

Back

Clockwise rotation is in the direction of the hands of a clock, while counter-clockwise rotation is in the opposite direction.

Front

What is a dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same, using a scale factor.

Front

How do you perform a reflection over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new coordinates become (x, -y).

Front

What are the coordinates of a point after a 180-degree rotation around the origin?

Back

For a point (x, y), after a 180-degree rotation around the origin, the new coordinates are (-x, -y).

Front

What is the result of reflecting a point over the line y = x?

Back

To reflect a point (x, y) over the line y = x, the new coordinates become (y, x).

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a shape is enlarged or reduced during dilation.

Front

If a triangle has vertices (2,0), (3,-1), and (-2,-5), what are the new coordinates after dilation by a scale factor of 3?

Back

The new coordinates are (6,0), (9,-3), and (-6,-15).