Transformations/Equations Review

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 four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

Define translation in geometry.

Back

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

Front

What is rotation in geometry?

Back

Rotation is a transformation that turns a shape around a fixed point called the center of rotation.

Front

Define reflection in geometry.

Back

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

Front

What is dilation in geometry?

Back

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

Front

How do you solve the equation 4x + 7 = 23?

Back

Subtract 7 from both sides to get 4x = 16, then divide by 4 to find x = 4.

Front

What are the coordinates of point B if it is located at (-4, 6)?

Back

The coordinates of point B are (-4, 6).

Front

What does the term 'coordinate points' refer to?

Back

Coordinate points refer to a pair of numbers that define a position on a coordinate plane, usually written as (x, y).

Front

What is the result of a dilation with a scale factor of 2?

Back

A dilation with a scale factor of 2 will double the size of the shape while maintaining its proportions.