Geometry TAP Unit 6, Flashcard 2: Vectors and Dilations

Front

What is a vector?

Back

A vector is a quantity that has both magnitude and direction, often represented as an arrow in geometry.

Front

How do you represent a vector in component form?

Back

Front

What is the result of adding two vectors?

Back

The result of adding two vectors is a new vector that represents the combined effect of both vectors, calculated by adding their corresponding components.

Front

What is the formula for vector subtraction?

Back

Front

What does it mean to dilate a figure in geometry?

Back

Dilation is a transformation that alters the size of a figure while maintaining its shape, defined by a center point and a scale factor.

Front

How do you find the coordinates of a dilated point?

Back

To find the coordinates of a dilated point, multiply the original coordinates by the scale factor and add the center point coordinates.

Front

What is the translation vector?

Back

Front

How do you perform a translation on a point?

Back

Front

What is the result of multiplying a vector by a scalar?

Back

Multiplying a vector by a scalar changes the magnitude of the vector but not its direction, calculated by multiplying each component by the scalar.

Front

What is the geometric interpretation of vector addition?

Back

Vector addition can be visualized by placing the tail of one vector at the head of another, forming a new vector from the tail of the first to the head of the second.