Multiplying a measure
by a scale to produce a
reduced or enlarged
measure

Answers

Answer 1

Answer:

we conclude that:

If the scale factor > 1, the image is stretchedIf the scale factor < 1, the image is reducedIf the scale factor = 1, the image and object will be congruent

Step-by-step explanation:

A dilation is a transformation which generates an image that is the same shape as the original object but in a different size.

The image can be obtained by multiplying the measure of the original object by a scale factor.

If the scale factor > 1, the image is stretched

If the scale factor < 1, the image is reduced

If the scale factor = 1, the image and object will be congruent

For example, if we multiply the measure of the coordinates of the vertex A(2, 2) of a triangle by a scale factor of 2, the image A' is stretched as the scale factor > 1.

Dilation with scale factor 2, multiply by 2.

(x, y) → (2x, 2y)

A(2, 2) → (2(2), 2(2)) = A'(4, 4)

So, the image point A'(4, 4) is enlarged.

Dilation with scale factor ½, multiply by ½.

(x, y) → (½x, ½y )

A(2, 2) → (2(1/2), 2(1/2)) = A'(1, 1)

So, the image point A'(1, 1) is reduced.

Therefore, we conclude that:

If the scale factor > 1, the image is stretchedIf the scale factor < 1, the image is reducedIf the scale factor = 1, the image and object will be congruent


Related Questions

HELP ME PLEASEEEEEEEEEEEEEEEEE YOU CAN GET BRAINEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

its red okay? i hop help

Answer:3:1. Yellow

Step-by-step explanation:

Explain the errors and write the correct answers. Gary converts kilograms to grams as shown: 4.25 kg = 4.25 x 100 = 425 grams

Answers

Answer:

Gary needed to multiply by 1000 instead of 100.

Step-by-step explanation:

The conversion from kilograms to grams is to multiply by 1000.

#teamtrees #WAP (Water And Plant)

Evaluate -9x-2 when x =-4

Answers

Answer:

34

Step-by-step explanation:

So -9x is 36,36-2=34

Answer:

34

Step-by-step explanation:

-9(-4)-2

36-2

34

4x – 4y = 24
y= 7x + 6
A) (-2, 8)
C) (-8,8)
B) (-2, -8)
D) (-8, -8)

Answers

Answer:

B) (-2, -8) is the solution for 4x - 4y = 24 and y = 7x + 6

Step-by-step explanation:

4x - 4y = 24

4(-2) - 4(-8) = 24

-8 - (-32) = 24

-8 + 32 = 24

24 = 24

y = 7x + 6

-8 = 7(-2) + 6

-8 = -14 + 6

-8 = -8

Find the value of x.

Answers

Answer: 6

Step-by-step explanation:

1. 3x - 6 = 12

2. add 6 to both sides

3. 3x = 18

4. x=6

I hope this is right

Make x the subject a=bx+c

Answers

Answer: [tex]x=\frac{a-c}{b}[/tex]

Step-by-step explanation:

Answer:

x = [tex]\frac{a-c}{b}[/tex]

Step-by-step explanation:

Given

a = bx + c ( subtract c from both sides )

a - c = bx ( isolate x by dividing both sides by b )

[tex]\frac{a-c}{b}[/tex] = x

HELPPPP PLEASE!!!!!!

Answers

Answer:

y = 20

Step-by-step explanation:

line RPN = 180 = 4y - 10 + 90 + y

180 - 90 + 10= 5y

100 = 5y

y = 100/5

y = 20

In a newspaper, it was reported that yearly robberies in Springfield were down 25% to 78 in 2013 from 2012. How many robberies were there in Springfield in 2012?

Answers

There were 30% in 2012 to 2013

can some one help me out with an explaination i have two more after this

Answers

3x5=262bwbhwhebehrhrbbrjrhrjrjjrjrjrjrhrbhhehehegb

The ratio of cats and dogs is 6:13. If there are a total of 117 dogs, how many cats are there

Answers

Answer:

56

Step-by-step explanation:

6 : 13

x : 117

117 /13 = 9

6 * 9 = 56

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Is this graph a function?

Answers

Answer:

This is a function

Step-by-step explanation:

For every x value, there is at most one y value, so it can be expressed as a function.

HELP PLEASE! FOR EACH RELATION, DECIDE WHETHER OR NOT IT IS A FUNCTION.​

Answers

Answer:

relation 1: function

Relation 2: function

relation 3: not a function

relation 4: not a function

Explanation:

There should be no repeating values in the domain for the relation to qualify for a function.

proportional relationships and graphs
and what is y=3x

Answers

Answer:

Well there isn't really a question

Step-by-step explanation:

y=3x means anything on the x axis times 3 = the number on the y axis. This is an example of an proportional relation ship and will create a straight line on a graph.

PLS HELPS ME!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

1).

(a). Yes, the graph is linear.

(b). Rate of change is a slope m, m = (60 - 80) / (10 - 0) = - 2

2). Graph is not proportional, because y-intercept is (0, 80) and not (0, 0)

A dilation with a center at
P
(
0
,
0
)
P(0,0) and a scale factor
k
k is applied to
M
N

MN
. Let
M

N


M

N


represent the image of
M
N

MN
after the dilation.
​Select each correct statement.

Answers

Answer:

bro I didnt understand your question can u resend it

The number 1,134 is divisible by all of the following except
A.3
B. 6
C. 9
D. 12
E. 14

Answers

Answer:

1,134 is not divisible by 12

Answer:

I think is: D. 12

Step-by-step explanation:

Will mark brainliest! Please help I have no idea!

Answers

Answer:

the decimals should line up.

Answer:

press the right arrow 3 times

Step-by-step explanation:

to properly subtract any numbers the value of the digits need to be in line

Which is the graph of f(x)
= 4(1/2)x?

PLEASE HELP ME

Answers

Answer:

[tex]4 (\frac{1}{2} )x \\ = 2x[/tex]

hopefully can help

Jessica started the school year when she was 64.15 inches tall. She grew 2.87 inches during the school year. How tall, in inches, was Jessica at the end of the year? Show your work.

Answers

Answer:

67.02 inches

Step-by-step explanation:

If Jessica started out 64.15 inches and grew 2.87 inches then you know that you must add these together.

64.15 + 2.87 = 67.02

Jessica is 67.07 inches at the end of the school year.

PLEASEEEEE HELP WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Triangle HJK is transformed to similar triangle H’J’K’:



What is the scale factor of dilation?

1/2

1/3

1/4

1/5​

Answers

Answer:

the scale factor is 1/4 because the big one has four squares on the bottom so it's four times as big

what is the answer to this?

Answers

Answer:

a. 1

Step-by-step explanation:

for the lines to be parallel, 4x+20 and 6x-10 have to be equal, so you can solve by making it 2x+10 to get 5

Answer:

its the first one to solve future questions like this you can replace the x with the answers till they both have the same number

The graph of y = x(x + 2)(x – 4) is shown.

Which statement about the graph is accurate?

An x-intercept of the graph is (2, 0).
The graph has no y-intercepts.
A y-intercept of the graph is (4, 0).
The graph has three x-intercepts.

Answers

Answer:

D

Step-by-step explanation:

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Use the definitions and theorems of this section to evaluate and simplify the following expression. Be sure to express answers with positive exponents.

(b3)2

Answers

Answer:

Step-by-step explanation:

[tex]b^{2*3} =b^{6}[/tex]

Explain the difference between the slopes of x=1 and y=1, I need answers ASAP!!!!!

Answers

Answer:

Step-by-step explanation:

x=1 is a vertical line, that has an undefined slope, while y=1 is a horizontal line that always has a zero slope

A cuboid with a volume of 925cm^3 has dimensions.
4cm, (x + 1) cm and (x + 11) cm.
Show clearly that x^2 + 12x - 220 = 0
Solve the equation by factorising, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.

Answers

Answer:

Step-by-step explanation:

Volume of the cuboid = Length * Width * Height

Given

Length = 4cm

Width = (x+1)cm

Height = (x-11)cm

Volume of the cuboid = 4(x+1)(x+11)

Volume of the cuboid = 4(x^2+11x+x+11)

Volume of the cuboid = 4(x^2+12x+11)

Volume of the cuboid = 4x*2+48x+44

925 = 4x*2+48x+44

4x*2+48x+44-925 = 0

4x*2+48x-881 = 0

Divide through by 4

x^2 + 12x - 220.25 = 0

Factorize using the general formula;

x = -12±√12²-4(-220.25)/2

x = -12±√144+881/2

x = -12±√1025/2

x = -12±32/2

x = 12+32/2

x = 20/2

x = 10

Hence the dimension of the cuboid is 4cm, (10+1)cm and (10+11)cm

Dimension is 4cm by 11cm by 21cm

Which relation is not a function?
a) { (1, -5), (3, 1), (-5, 4), (4, -2) }
b) { (1, -5), (-1, 6), (1, 5), (6, -3) }
c) { (2, 7), (3, 7), (4, 7), (5, 8) }
d) { (3, -2), (5, -6), (7, 7), (8, 8) }

Answers

Answer:

They can all be functions so either the question is bad or information is missing

880,005 rounded to the nearest hundred thousand what is the answer

Answers

Answer:

900,000

Step-by-step explanation:

I'm not sure how to explain rounding, but this should be the answer if ur asking for rounding to the nearest hundred thousand and not the hundredth thousand

Answer:

900,000

Step-by-step explanation:

the ten- thounsandths place holds a number over 5 so you would round up to 900,000.

8x + 5 = 29

Someone solve the inequallity please

Answers

X =3 because you subtract 5 from both sides of the equation

If using the method of completing the square to solve the quadratic equation x squared -20x+24=0, which number would have to be added to “complete the square”

Answers

Oksuru   k diyaf         ramincok ani kasilm asiyla olusan bir refle kstir.

Which expression is equivalent to 4^6 ⋅ 4^−8?
A.) 1/4^2
B.) 1/4^14
C.) 4^2
D.) 4^14

(PS. Don't answer this just for the points, please put some effort into this, yes i know im the on seeking others help, but i tried i didn't understand so came here.)

Answers

It’s C I just toke the test
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