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
olga55 [171]
4 years ago
6

Triangle A″B″C″ is formed by a reflection over x = 1 and dilation by a scale factor of 2 from the origin. Which equation shows t

he correct relationship between ΔABC and ΔA″B″C″?
coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3


segment AB over segment A double prime B double prime = the square root of 13 over 2 times the square root of 13

segment C double prime A double prime over segment CA = the square root of 16 over 2 times the square root of 16

segment AB = zero point two segment A double prime B double prime

segment C double prime A double prime = zero point two segment CA

Mathematics
1 answer:
andrew-mc [135]4 years ago
7 0

Answer:

segment AB over segment A double prime B double prime = the square root of 13 over 2 times the square root of 13

Step-by-step explanation:

Triangle ABC has vertices at points A(-3,3), B(1,-3) and C(-3,-3).

1. Reflection over x = 1 maps vertices A, B and C as follows

  • A(-3,3)→A'(5,3);
  • B(1,-3)→B'(1,3);
  • C(-3,-3)→C'(5,-3).

2. Dilation by a scale factor of 2 from the origin has the rule

(x,y)→(2x,2y)

So,

  • A'(5,3)→A''(10,6);
  • B'(1,3)→B''(2,6);
  • C'(5,-3)→C''(10,-6)

See attached diagram for details

Note that

A''B''=2AB\\ \\A''C''=2AC\\ \\B''C''=2BC,\\ \\AB=\sqrt{(-3-1)^2+(3-(-3))^2}=\sqrt{16+36}=\sqrt{52}=2\sqrt{13}

so

\dfrac{AB}{A''B''}=\dfrac{2\sqrt{13}}{2\cdot 2\sqrt{13}}=\dfrac{\sqrt{13}}{2\sqrt{13}}

You might be interested in
Given the table, write and equation for the function, and describe what it does.<br><br> ASAP!!!
k0ka [10]

Answer:

f(x) = 3x + 1

Step-by-step explanation:

f(x) = 3x + 1

f(1) = 3+1 = 4

f(2) = 3*2 + 1 = 7

f(3) = 3*3 + 1 = 10

f(4) = 3*4 + 1 = 13

it's a linear function with slope 3 and y intercept 1

3 0
3 years ago
mrs sogiba is catering for her sons birthday party. she has invited some of her sons friends to the party. the number of friends
Alex
The only ones that would work are if the factor is composite and if 1 is added to it it can be divided into 48. So 15 would work. The factor 15 is composite, and if 1 is added it can be divided into 48.Therefore the son is 15.
7 0
3 years ago
Read 2 more answers
2+2<br> ive genuily cant remeber pls help
Naily [24]

Answer:

fish

Step-by-step explanation:

turn one 2 90 degrees clockwise and rotate the other one 270 degrees clockwise and overlap the two and you get fish :3

(funny joke but is its real the answer is 4)

6 0
3 years ago
What is the standard form of y=(x-3)^2+53
lana [24]
Y = (x - 3)² + 53
y = (x - 3)(x - 3) + 53
y = (x(x - 3) - 3(x - 3)) + 53
y = (x(x) - x(3) - 3(x) + 3(3)) + 53
y = x² - 3x - 3x + 9 + 53
y = x² - 6x + 62
6 0
4 years ago
what 1+2 eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Gnesinka [82]

Answer:

3

Step-by-step explanation:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

6 0
4 years ago
Other questions:
  • Please help i’ll love u forever and give lots of points
    8·2 answers
  • 6 more than a number is at most 10
    14·1 answer
  • HELPPP I'LL GIVE A MEDAL !
    5·2 answers
  • 3. What technique/s did you use?<br> 97x103
    14·2 answers
  • What is the estimate unit rate of $74.75
    14·1 answer
  • Order each number from lesat to greatest 2/3, -0.6, 0.65, 4/5
    11·1 answer
  • Simplify 32 ⋅ 35. (4 points)<br><br> 37<br><br> 310<br><br> 97<br><br> 910<br> Pllllsssss help
    15·1 answer
  • (10 points)determine which one is an right angle
    8·1 answer
  • What is 5 times 194889348
    13·2 answers
  • Help please!!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!