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
Free_Kalibri [48]
3 years ago
12

If triangle ABC is dilated by a scale factor of 2 with a dilation center of A, what will be the coordinates of point b’?

Mathematics
1 answer:
mojhsa [17]3 years ago
8 0

Answer:


In the given figure the sides of triangle measures as follows:


AB= 4 units,


BC= 6 units,


Since triangle ABC is right angled triangle, to find AC we will have to use Pythagorean theorem,


AB² + BC² = AC²


Plugging the values of AB and BC to find AC,


4² + 6² = AC²


16+36=AC²


AC = 7.48


Now if the triangle is dilated by a scale factor of 2, each side will be multiplied by 2 to get the new triangle A'B'C'


side A'B' = 2* AB = 2*4= 8 units


side B'C' = 2* BC = 2*6 =12 units


side A'C' = 2*AC = 2*7.48 = 14.96 units


Perimeter of triangle = sum of three sides


Perimeter of triangle A'B'C' = A'B' + B'C' + A'C'= 8+12 + 14.96 = 34.96 units.


Perimeter of triangle ABC = AB+BC + AC = 4+6+7.48 = 17.48 units.


Perimeter of triangle A'B'C' = 2* Perimeter of triangle ABC


The perimeter of new triangle A'B'C' is 34.96 units which is twice that of triangle ABC.


Answer : A) The perimeter of A'B'C' is 2 times the perimeter of ABC.



You might be interested in
PLEASE HELP QUICKLY how can I accurately solve this equation?
elena55 [62]

Answer:

multiply by the power of ten,

Step-by-step explanation:

3 0
3 years ago
Can someone please help me i will give free 50 points
Grace [21]

Would it be 11 and 12?

6 0
2 years ago
Read 2 more answers
What is 62394 rounded to the nearest ten
Semmy [17]

Answer:

62390

Step-by-step explanation:

you have to round up if it's 5 or more and round down if it's less.

3 0
3 years ago
Find the two square roots of the number 169
Mazyrski [523]

One root belonged to an old tree next to the road, and the other is part of a small tree.

4 0
3 years ago
Suppose that J and K are points on the number line.
V125BC [204]
K could either be a 16 or -24
5 0
3 years ago
Other questions:
  • Write the equation of a line that includes the point (-4,0) and a slope of 3/5 in slope intercept form?
    7·1 answer
  • Find the edge length of the cube if the volume is 1/27
    12·1 answer
  • Which of the following numbers listed below are solutions to the equation?
    7·1 answer
  • Two trains leave towns 1370 kilometers apart at the same time and travel toward each other. One train travels 18 km/h faster tha
    12·1 answer
  • How do you know if this equation is true 1/3+1/5=2/8=1/4
    13·1 answer
  • Please help me on my math homework?
    6·1 answer
  • Convert. Round to the nearest hundredth if necessary.
    8·1 answer
  • ckark left for school at 7:43 am he got to school 36 minutes later at what time did clark get to school
    13·1 answer
  • Which equation best represents the function, "the height of a door is three times its width."
    7·1 answer
  • Two numbers x and y, have a sum of 23 and a difference of 7. x is greater than y
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!