1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
notsponge [240]
3 years ago
6

Pre-image ​ ABCD is dilated to be image ​ A′B′C′D′ ​ . The origin is the center of dilation. What scale factor is used to create

the dilation? Enter your answer in the box. Two rectangles on a coordinate plane. rectangle ABCD has vertices a at (1, 4), b at (3, 4), c at (3, 1), and d at (1, 1). rectangle A prime b prime c prime d prime has coordinates a prime at (2, 8), b prime at (6, 8), c prime at (6, 2) and d prime at (2, 2).

Mathematics
2 answers:
Zina [86]3 years ago
7 0

Answer:

The scale factor of dilation is 2.

Step-by-step explanation:

From the given information it is notices that the vertices of preimage are A(1, 4), B(3, 4), C(3, 1), and D(1, 1). The vertices of image are A'(2, 8), B'(6, 8), C'(6, 2) and D'(2, 2).

The scale factor is the ratio of distance of a image of a vertex from the center of dilation and distance of the vertex from the center of dilation.

The center of dilation is origin. So, the scale factor is

k=\frac{OA'}{OA}           .... (1)

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

OA'=\sqrt{(2-0)^2+(8-0)^2}=\sqrt{4+64}=\sqrt{68}=2\sqrt{17}

OA=\sqrt{(1-0)^2+(4-0)^2}=\sqrt{1+16}=\sqrt{17}

Now, put these values in equation (1).

k=\frac{2\sqrt{17}}{\sqrt{17}}

k=2

Therefore the scale factor of dilation is 2.

Tpy6a [65]3 years ago
6 0

Answer:

2

Step-by-step explanation:

im doing the test now :) it is correct

You might be interested in
Complete the square for 5x^2-30x=5 brainly
Stella [2.4K]

Answer:

5(x-3)(x+2)=0

Step-by-step explanation:

5x^2-30x=5

5x^2-30x-5=0

5(x^2-6x-1)=0

5(x-3)(x+2)=0

5 0
3 years ago
Read 2 more answers
I need help on all of these, please!
ioda

Answer:

3 up, rest is 0

Step-by-step explanation:

3 0
2 years ago
What is the missing length
Dimas [21]
The missing length is 12km (i never promised anything xd)
3 0
3 years ago
Find the factors of each expression. x^2+36​
OleMash [197]

Answer:

<h2>x²+36+2(x)(6).. is the correct answer.. </h2>

4 0
2 years ago
In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?
zheka24 [161]

Shorter Leg=x

Hypotenuse=2x

Shorter Leg=5cm

Hypotenuse= 10cm

3 0
3 years ago
Other questions:
  • Which point satisfies both ƒ(x) = 2x and g(x) = 3x?<br><br> (0,1)<br> (0,-1)<br> (1,0)<br> (-1, 0)
    5·1 answer
  • Find the areas of the parallelogram whose vertices are given below. ​A(negative 1​,4​) ​B(4​,0​) ​C(12​,3​) ​D(7​,7​) The area o
    6·1 answer
  • Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only)
    13·1 answer
  • When the angle of elevation to the sun is 42 a flagpole casts a shadow that is 21 ft long. What is the height of the flagpole to
    7·1 answer
  • Aye do anyone think the can help me with a phone number verification because i cant do it myself i dont have my phone
    12·2 answers
  • Help me please don’t lie to me
    9·1 answer
  • HELP ASAP PLEASE EXPLAIN PLEASE ​
    7·1 answer
  • There are 16 people coming to your party and each person will need one cup. How many packages of cups should you buy if one pack
    10·2 answers
  • Please help!!!!!!!!!!!
    11·1 answer
  • Please help me i don't get it at all
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!