Triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin. What are the coordinates of the image of point C prime?

On a coordinate plane, triangle A B C has points (1, 1), (1.5, 3), (2, 1).
(2, 4)
(4, 2)
(One-half, 1)
(1, one-half)

The correct answer is (1, one-half).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Dilation is the enlargement or reduction in the size of an image. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).

Given triangle ABC has vertices at A(1, 1), B(1.5, 3), C(2, 1). If the triangle is dilated by a scale factor of 2, the new point is:

A'(1/2, 1/2), B'(3/4, 3/2), C'(1, 1/2).

Hence the coordinates of C' is (1, one-half).

Find out more at: link

Second option.

Step-by-step explanation:

First it is important to remember the definition of Dilation.

A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.

In this case you know that the triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin.

According to the exercise, the point C has these coordinates:

Therefore, in order to find the coordinates of C', you need to multiiply the coordinates of the point C by the scale factor 2.

Then, you get that the coordinates of the point C' are:

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

answer: your correct answer is b. d.

step-by-step explanation: