171k views
0 votes
What does it mean when dilation whose center is P?

A) Enlargement
B) Translation
C) Reflection
D) Rotation

User Pbhle
by
7.2k points

1 Answer

2 votes

Final answer:

Dilation with center P refers to an enlargement (or reduction) of a geometric figure, where all points are scaled from point P, maintaining the same shape but altering the size.

Step-by-step explanation:

When we talk about a dilation whose center is P, we are referring to a transformation in geometry. Dilation is a transformation that produces an image that is the same shape as the original, but is a different size. In this process, all points of the object are moved either closer to or farther away from a fixed point, known as the center of dilation, which in this case is point P. The transformation alters the distance between points, multiplying it by a constant factor, called the scale factor.

The correct answer to the question is A) Enlargement. This is because dilation either enlarges or reduces the size of a figure without changing its shape. The other options, translation, reflection, and rotation, are different types of transformations. Translation moves a figure without rotating it, reflection mirrors a figure across a line, and rotation turns a figure around a fixed point.

User Hai Hw
by
8.0k points