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
Musya8 [376]
3 years ago
9

Circle C with center at (−4, 6) and radius 2 is similar to circle D with center at (6, −2) and radius 4. Below is an incorrect i

nformal argument for proving two circles are similar:

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0

We are told that circle C has center (-4, 6) and a radius of 2.

We are told that circle D has center (6, -2) and a radius of 4.


If we move circle C's center ten units to the right and eight units down, the new center would be at (-4 + 10), (6 - 8) = (6, -2). So step 1 in the informal proof checks out - the centers are the same (which is the definition of concentric) and the shifts are right.

Let's look at our circles. Circle C has a radius of 2 and is inside circle D, whose radius is 4. Between Circle C and Circle D, the radii have a 1:2 ratio, as seen below:

\frac{1}{2} = \frac{radius--circle C}{radius--circle D}

If we dilate circle C by a factor of 2, it means we are expanding it and doubling it. Our circle has that 1:2 ratio, and doubling both sides gives us 2:4. The second step checks out.

Translated objects (or those that you shift) can be congruent, and dilated objects are used with similarity (where you stretch and squeeze). The third step checks out.


Thus, the argument is correct and the last choice is best.

You might be interested in
What is the missing side length of the right triangle ? 8in and 15in
arsen [322]

Answer:

67

Step-by-step explanation:

6 0
3 years ago
Help me with this!!! What is x
romanna [79]

Answer:

58º

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the value of the expression below? 8 + 24 / 2 X 6 - 4
umka21 [38]

8 + 24 / 2 X 6 - 4

following order of operations divide 24 by 2:

8 + 12 x 6 -4

Multiply 12 by 6:

8 + 72 -4

Add 8 and 72:

80-4

Subtract to get 76

6 0
3 years ago
Read 2 more answers
Someone please help i cant figure it out link attached
zavuch27 [327]

Answer:

gg

Step-by-step explanation:

gg

4 0
3 years ago
Adam uses coconut milk for the dessert.
dmitriy555 [2]
V=(π)(r^2)(h)

π=3
r=half of the diameter=4
h=12

V=(3)(4^2)(12)
    = (3)(16)(12)
        = 576 cm cubed 


4 0
3 years ago
Other questions:
  • 1. solve the inequality 8x ≤ 48
    10·2 answers
  • What ordered pair is a solution of the equation?<br> y=-2x-5
    10·1 answer
  • A.​ 6√ ​<br><br> B. −6√ ​<br><br> C. −116√<br><br> D. −26√
    6·2 answers
  • The science club went on a two-day field trip the first day the member paid $70 for transportation plus $20 per ticket to the Pl
    9·1 answer
  • What is the effect on the graph of the function f(x) = x2 when f(x) is changed to 1/5 f(x)?
    14·1 answer
  • Will make brainiest to the first two people that answer correctly
    11·1 answer
  • Whats 18 over 36 simplified
    8·2 answers
  • mary anne sold 20 necklaces and bracelets at the craft fair. she sold 3 times as many necklaces ad bracelets. how many bracelets
    9·1 answer
  • Sara goes to Fredonia University. She has $900 in her savings
    9·1 answer
  • 5. Which sequence of transformations maps quadrilateral ABCD onto quadrilateral EFGH?​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!