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
statuscvo [17]
3 years ago
15

Which triangle drfined by the given points on the coordinate plane is similar to the triangle illustrated? ​

Mathematics
1 answer:
Harrizon [31]3 years ago
4 0

Answer:D.) (-1, 1), (-1, 5), (-7, 1)

Step-by-step explanation:The length of the horizontal segment of the triangle graphed is 3.  The length of the vertical segment of the triangle graphed is 2.  Using the Pythagorean theorem, this makes the length of the missing side

2²+3²=c²

4+9 = c²

13=c²

√13 = c

This makes our side lengths 2, 3, and √13.

For choice A our vertices are (-1, 1), (-1, 4), (-6, 1).

This makes the length of the horizontal segment 5 and the length of the vertical segment 3.  This makes the missing side length

5²+3²=c²

25+9=c²

34=c²

√34 = c

This is not proportional to the triangle drawn, so it is not similar.

The vertices of the triangle in option B are (-1, 1), (-1, 5), and (-6, 1).  This makes the horizontal segment 5 units long and the vertical segment 4 units long.  This makes the missing side length

4²+5²=c²

16+25=c²

41=c²

√41=c

These are not proportional to the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice C are (-1, 1), (-1, 4) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 3.  This makes the missing side length

3²+6²=c²

9+36=c²

45=c²

√45=c

3√5=c

These sides are not proportional to the sides of the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice D are (-1, 1), (-1, 5) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 4.  This makes the missing side length

6²+4²=c²

36+16=c²

52=c²

√52=c²

2√13=c

These sides are all twice as long as the sides of the triangle drawn; this means the triangles are similar.

You might be interested in
Answer and explanation
docker41 [41]

Answer:

392in

Step-by-step explanation:

find the areas of all the sides of this shape. Of one you might have to split it into two shpaes.

8 0
3 years ago
192/38 with remanders
guapka [62]

Answer:

5 Remainder 2

3 0
2 years ago
Read 2 more answers
I need help ( no links ) ( picture attached)
olasank [31]

Answer:

120-(30+48)= 42

Step-by-step explanation:

7 0
2 years ago
Please help me !<br> Which one is it?<br> (9Ft IS WRONG)
9966 [12]
Here’s the correct answer and the way i got to it. Hope this helps :)

4 0
2 years ago
Emily buys 14 balloons. 3 are red, 4 are white, and the rest are blue. What is the ratio of blue balloons to the total number of
8_murik_8 [283]

Answer:

3:4:7

Step-by-step explanation:

14-(3+4)

=14-7

=7

red:white:blue

3:4:7

5 0
3 years ago
Read 2 more answers
Other questions:
  • el deposito de gasolina en una estacion de servicio alcanza para 5 dias si se venden 1400 galones diarios ¿cuantos galones diari
    13·1 answer
  • Kenny had a total of 140 minutes to read, do homework, and play video games. he spent x minutes reading. he spent 2(x + 5) minut
    11·1 answer
  • Find the general form, Ax2+Ay2+Dx+Ey+F=0, by identifying the coefficients A,D,E,&amp;F center:(0,1); r=1 (x-0)2+(y-1)2=1 x2+y2-2
    9·2 answers
  • A function which is used to represent a problem, and which can be used to solve the problem, is called a ____.
    6·2 answers
  • Help! Show your work too plz
    12·1 answer
  • If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?
    12·1 answer
  • Solve: e/3+ 2 &lt; 5<br> Please show working out.
    9·1 answer
  • Find the range of the data.<br> 4.8,5.5, 4.2, 8.9, 3.4, 7.5, 1.6,3.8
    14·2 answers
  • How many books can you read in 56 months ??
    12·2 answers
  • Question 5 (2 points)<br> Given the function rule y = 3x + 11, what is the value of y if x = 27
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!