Given:

yaroslaw [1]

The answer is A because you have to use the process of substitution

5 0

3 years ago

Quadrilateral ABCD is dilated by a scale factor of 2 centered around (2, 2). Which statement is true about the dilation?

arsen [322]

Answer:

Option (B) is true i.e segment B'D' will run through (2,2) and will be longer than the segment BD.

Step-by-step explanation:

As the assumption quadrilateral ABCD is shown in figure a.

First located the center of the dilation which is located at (2,2) as shown in figure b.

The next thing we want to do is to determine the distance of the center of dilation to each of the points of quadrilateral ABCD as shown in figure b.

Let’s just start with the distance from the center to the point A, but notice we don’t have to move up and down in y direction. So, what we have to do is to increase this by the factor 2. Because this horizontal distance is 1 i.e. the distance from dilation center (2,2) to point A, we just have to multiply by 2 which would be a distance of 2 and this point right here will be the new location of point A’ (0,2).

And the distance from the center to the point C is the horizontal distance of 2 i.e. the distance from dilation center (2,2) to point C, we just have to multiply by 2 which would be a distance of 4 and this point right here will be the new location of point C’ (6,2).

And the distance from the center to the point B is the upward vertical distance of 1 i.e. the distance from dilation center (2,2) to point B, we just have to multiply by 2 which would be a vertical distance of 2 and this point right here will be the location of point B’ (2,4).

And similarly the distance from the center to the point D is the downward vertical distance of 1 i.e. the distance from dilation center (2,2) to point D, we just have to multiply by 2 which would be a vertical distance of 2 and this point right here will be the location of point D’ (2,0).

So, Quadrilateral A'B'C'D' is dilated by a scale factor of 2 centered around (2, 2).

Just notice in figure b that the segment B'D' will run through (2,2) and will be longer than the segment BD.

So,option (B) is true i.e segment B'D' will run through (2,2) and will be longer than the segment BD.

Learn more about dilation from brainly.com/question/12528454

#learnwithBrainly

3 0

3 years ago

Read 2 more answers

Please help I will mark brainlist if correct

love history [14]

--------------------------------------------------------------------------
Equation
--------------------------------------------------------------------------
$y - 9 = - \dfrac{1}{2} (x + 2)$

--------------------------------------------------------------------------
Rearrange the equation
--------------------------------------------------------------------------
$y - 9 = - \dfrac{1}{2} (x + 2) \\ \\
 y - 9 = - \dfrac{1}{2}x - 1 \\ \\
 y - 9 + 9 = - \dfrac{1}{2}x - 1 + 9 \ \Longleftarrow \text{add 9 to both side} \\ \\
 y = -\dfrac{1}{2}x + 8$

--------------------------------------------------------------------------
slope of the perpendicular line
--------------------------------------------------------------------------
slope = 2

(*the slope of the perpendicular line is the negative reciprocal of the slope of line)

---------------------------------------------------------------------------
Substitute slope into equation y = mx + c
---------------------------------------------------------------------------
y = 2x + c

---------------------------------------------------------------------------
Find y-intercept
---------------------------------------------------------------------------
y = 2x + c
At point (0, 4)
4 = 2(0) + c
c = 4

----------------------------------------------------------------------------
Substitute y-intercept into the equation y = 2x + c
-----------------------------------------------------------------------------
y = 2x + 4

----------------------------------------------------------------------------
Answer: y = 2x + 4
-----------------------------------------------------------------------------

3 0

3 years ago

For 23-25, use the table.

alexandr402 [8]

Jon and Gina are different we’re opposite

7 0

3 years ago

Read 2 more answers

How can i work this problem out

muminat

The form of the linne is given by
Y=mx +b
Where b is the y intercept of the line
That is the point where the line cuts the y axis
So here b= -3
So
Equation is
Y=1/3 x +(-3)
Answer in place of question mark is -3

3 0

3 years ago