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]
3 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]3 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
A sugar cookie recipe calls for 5 cups of flour for every 1 cups of sugar. If y y is the number of cups of flour and x x is the
RUDIKE [14]
Yy=5(xx)

works because lets say you need 3 cups of sugar. 3x5 is 15 which is exactly the number of cups of flour you would need
8 0
3 years ago
According to the graph, the system of linear equations has how many solutions?
slamgirl [31]

no solutions → C

The 2 given lines are parallel and never intersect thus no solution


8 0
3 years ago
Read 2 more answers
Please help me someone
Jobisdone [24]

Answer: itz d plz trust me

4 0
2 years ago
Which represents a linear function? a. Y=2x b. 2x^2 c. Y=1/x
Kobotan [32]

Answer:

Step-by-step explanation:

Y=2x is linear (also proportional) since it involves only the first power of x

2x^2 is not linear, due to the second power of x (x^2); it is quadratic

Y = 1/x is not linear, due to x being in the denominator.

5 0
3 years ago
Which relation is a function?
Katen [24]
Each domain of the points can only have one unique range

Which point doesn’t have multiply ranges for a x value?

Solution: A
7 0
2 years ago
Other questions:
  • Express the number using scientific notation: 57,000,000 HELP PLZ
    5·1 answer
  • Prime factor tree of 385
    11·1 answer
  • Give a solution to the inequality x > 1. How many total solutions does it have?
    14·1 answer
  • Clarissa needs a $2,500 loan in order to buy a car. How much interest would she owe if she took out a 24 - month loan with a 4.2
    8·1 answer
  • Use the system of equations. Please show your steps and how you solved it!
    5·1 answer
  • the area of a square is a perfect square between 100 and 250 square centimeters. which could be the area of the square? select a
    5·1 answer
  • The midpoint of AB is M (-6,-4). If the coordinates of A are (-4,-3), what are the coordinates of B
    14·1 answer
  • Look at pic 10 pts will mark brainilest WILL HELP OUT W 3 QUESTIONS
    14·1 answer
  • 5
    12·2 answers
  • : 2/18 of the students in Mr. P’s classroom had blonde hair. If there were 36 students in his class, how many students did not h
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!