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
Ede4ka [16]
3 years ago
10

PQR has vertices at P(2, 4), Q(3, 8) and R(5, 4). A similarity transformation maps PQR to ABC, whose vertices are A(2, 4), B(5.5

, 18), and C(12.5, 4). What is the scale factor of the dilation in the similarity transformation?
Mathematics
2 answers:
alukav5142 [94]3 years ago
7 0
Use Pythagorean Theorem to calculate length of sides 

PQ = √(1^2 + 4^2) = √(17) 
QR = √(2^2 + 4^2) = √(20) 
RP = √(3^2 + 0^2) = √(9) 

AB = √(3.5^2 + 14^2) = √(208.25) 
BC = √(7^2 + 14^2) = √(245) 
CA = √(10.5^2 + 0^2) = √(110.25) 

A similarity transformation will maintain the relationship of sides: the smallest side of one triangle should correspond to the shortest side of the other triangle (and so on). 

Ratio of lengths (transformed/original) 

shortest with shortest 
CA/RP = √(110.25)/√(9) = 10.5/3 = 3.5 
middle 
AB/PQ = √(208.25)/√(17) = √(208.25/17) = √(12.25) = 3.5 
longest 
<span>BC/QR = √(245)/√(20) = √(12.25) = 3.5</span>
zhuklara [117]3 years ago
4 0

Answer:

3.5 is the correct answer just had question and it was correct

Step-by-step explanation:


You might be interested in
What is b in 5b+4=24?
Fittoniya [83]

Answer:

b = 4

Step-by-step explanation:

5b + 4 = 24

5b = 20

b = 4

7 0
3 years ago
Read 2 more answers
A rectangular exercise mat has a perimeter of 36 feet . The length mat is twice the width. Write and solve an equation to determ
Goshia [24]
ANSWER

72 square feet

EXPLANATION

The perimeter of a rectangle is given by:

P= 2l+2w

It was given that, the perimeter of the rectangular mat, is 36 feet.

36= 2l+2w

Divide through by 2.

18 = l + w...(1)

It was given also that, the length of the mat is twice its width.

This implies that,

l = 2w ...(2)

Put equation (2) into equation (1) to get,

18 = 2w + w

18 = 3w

w = 6 \: ft

This means that the length is 12 ft.

The area of the rectangular mat is

A = l \times w

A = 6 \times 12 = 72 {ft}^{2}
4 0
3 years ago
There is a sale on a gallon of milk at the grocery store. The original price was $2.99 and the new price is $2.49. What is the p
Tju [1.3M]

Answer:

c

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
How do you write 0 .25 in a fraction?
tatuchka [14]
0.25 in a fraction would be 1/4
4 0
3 years ago
Read 2 more answers
PLEASSSEEEEEEEEEEE HELP ME EEEEEEEEEEEEEEE
Sedaia [141]

Answer:

Step-by-step explanation:

what do you need help with

8 0
2 years ago
Other questions:
  • The diagram below, circumscribed about quadrilateral DEFG What is the value of x
    12·1 answer
  • 3x+3y=27<br> 3x-3y= -11<br> using elimination
    10·1 answer
  • What is a repeating decimal give an example​
    11·1 answer
  • -7(5-3x)=-35 what is the x in the problem
    14·2 answers
  • HELP PLEASEEEEeeeeeeeeeeww
    9·2 answers
  • Given the following functions f(x)
    10·1 answer
  • Jenna bought a gallon of milk at the store for $3.58. About a bag of chips for $2.08. With a $10 bill . How much change did she
    5·1 answer
  • Which equation does the graph below represent?
    10·1 answer
  • Plz give me ans fast.​
    14·1 answer
  • if you can do any of these that would be great, just please tell me which ones you did and the more questions you do the more po
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!