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
Alinara [238K]
3 years ago
5

9.01 prove that the two circles are similar

Mathematics
1 answer:
il63 [147K]3 years ago
4 0

Answer:

see the procedure

Step-by-step explanation:

we know that

Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.  

In this problem to prove circle C and circle A are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.

we have that

Circle C is centered at (0,-1) and has a radius of 2 units

Circle A is centered at (3,4) and has a radius of 5 units

step 1

Move the center of the circle C onto the center of the circle A

the transformation has the following rule

(x,y)--------> (x+3,y+5)

so

(0,-1)------> (0+3,-1+5)-----> (3,4)

center circle C is now equal to center circle A  

The circles are now concentric (they have the same center)

step 2

A dilation is needed to increase the size of circle C to coincide with circle A

scale factor=radius circle A/radius circle C-----> 5/2=2.5

radius circle C will be=2*scale factor-----> 2*2.5=5 units

radius circle C is now equal to radius circle A  

therefore

A translation, followed by a dilation will map one circle onto the other, thus proving that the circles are similar

You might be interested in
A marathon runner runs at 7.6 mph for three and a half hours.<br> How many miles has he run?
GalinKa [24]

Answer:

26.6 miles

Step-by-step explanation:

distance = speed × time ( time is in hours )

              = 7.6 × 3.5

             = 26.6 miles

5 0
2 years ago
Bob needs to tile his
malfutka [58]

Answer:

143ft

Step-by-step explanation:

12in is 1 foot and 13x11 (11x13) is 143

4 0
3 years ago
I need help ! For a major quiz grade. Can y’all tell me what is the answer ?
slava [35]

Answer:The answer is C

Step-by-step explanation:

3 0
3 years ago
How many total squares are there?<br> But the answer is not 9
ioda

Answer:

There's 10

Step-by-step explanation:

You count the little squares, which give you 9 and then you count the big square that all of the little squares are in, which gives you 10 squares in total

5 0
2 years ago
What is five hundred eighty three divided by twenty four
julsineya [31]
583 divided by 24 = 24
8 0
2 years ago
Other questions:
  • (Can Someone PLEASE Help me) Which of the following steps in this proof contains a flaw?
    12·1 answer
  • Please help!!! And please ignore the letters at the bottom:)
    12·2 answers
  • Please help I will be very grateful for this. pls also explain it will really help.
    8·1 answer
  • PAGE 15
    5·1 answer
  • For the most recent seven years, the U.S. Department of Education reported the following number of bachelors degrees awarded in
    7·1 answer
  • On a map, Maya uses a ruler to find the approximate distance between her town and Los Angeles. The distance on the map is 25 cm.
    12·2 answers
  • Help me with the last part at the bottom please it says x =
    15·1 answer
  • Brad owns a successful corporation that has a substantial earnings and profits. During the year, the following payments were mad
    8·1 answer
  • Dennis drove for 12 minutes and went 8% miles in that time. At this rate, how many miles can he drive in 1 hour?
    14·1 answer
  • Write (8 x 10) + (6 x 1) +(2 x 0.1) + (7 x 0.001) with words.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!