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
diamong [38]
3 years ago
9

AABC has vertices at A(12, 8), B(4,8), and C(4, 14).

Mathematics
1 answer:
borishaifa [10]3 years ago
3 0

Answer:

<u>Triangle ABC and triangle MNO</u> are congruent. A <u>Rotation</u> is a single rigid transformation that maps the two congruent triangles.

Step-by-step explanation:

ΔABC has vertices at A(12, 8), B(4,8), and C(4, 14).

  • length of AB = √[(12-4)² + (8-8)²] = 8
  • length of AC = √[(12-4)² + (8-14)²] = 10
  • length of CB = √[(4-4)² + (8-14)²] = 6

ΔMNO has vertices at M(4, 16), N(4,8), and O(-2,8).

  • length of MN = √[(4-4)² + (16-8)²] = 8
  • length of MO = √[(4+2)² + (16-8)²] = 10
  • length of NO = √[(4+2)² + (8-8)²] = 6

Therefore:

  • AB ≅ MN
  • AC ≅ MO
  • CB ≅ NO

and ΔABC ≅ ΔMNO by SSS postulate.

In the picture attached, both triangles are shown. It can be seen that counterclockwise rotation of ΔABC around vertex B would map ΔABC into the ΔMNO.

You might be interested in
The national collegiate athletic association (ncaa) uses a sliding scale for eligibility for division i athletes. those students
Blizzard [7]

A suitable probability calculator pegs that probability at 81%.

7 0
3 years ago
Read 2 more answers
You are going to play a game where you bet a dollar and get to flip a coin ten times. If you get four heads in a row, you win. I
MrMuchimi
.0625 ...........................................................................
3 0
3 years ago
The following points for a function are graft in a coordinate plane: (1,2), (3,8), (4,11), and (6,17).
Yanka [14]
I don’t really know but I want to answer so I can get the account to 100%
4 0
2 years ago
Please help me!!!
Kay [80]
A. Slope is defined by rise/run. It looks like the points where it intersects the axes are at (0, 6) and (2, 0)
Basically you take (y-y1)/(x-x1), which in this case could be (6-0)/(0-2), which is -3.
b. The perpendicular slope would be the negative inverse of that.
The inverse of 3 is 1/3, so the negative inverse of -3 would also be 1/3.
c. The parallel slope is the same as the original slope.
d. Plug these points in for y=mx+b. 
2=(1/3)(-1)+b
2=-1/3+b
b=7/3. (that's 2 and 1/3).
The equation for that line would be y=(1/3)x+(7/3)
e. The y intercept is found when x=0. But it's also the b in the y=mx+b equation, so the y intercept is (0, 7/3).

In case that's hard to read:
a. Slope = -3
b. Perpendicular Slope = 1/3
c. Parallel Slope = -3
d. y=(1/3)x+(7/3)
e. Y intercept = (0,, 7/3)

Hope that helps!

5 0
3 years ago
Read 2 more answers
The answer to _:12 = 7:14
rjkz [21]

Answer:

<em>THE ANSWER IS </em>6

Step-by-step explanation:

7 divide by 14 is 1/2, and 7 is basically a half of 14

so it's just similar here!

6 is a half of 12, so the answer is 6!

hope this helps!

7 0
3 years ago
Other questions:
  • Graph.<br><br> F(x) = |2x-6| + 3
    14·1 answer
  • What is the sum of 3 consecutive integers of 87
    10·1 answer
  • The figure shows ∆ABC inscribed in circle D. If m ∠CBD = 25°, find m ∠BAC, in degrees.
    12·1 answer
  • If 1 pound is $0.32 then how much does 3.4 pound cost
    11·1 answer
  • HELP PICTURE IS SHOWN
    15·1 answer
  • The function f(x) =logb(x+2) passed through point (14,2)
    5·1 answer
  • Could you help me, pls? :c​
    8·2 answers
  • Please help me ................
    6·1 answer
  • Let f(x) = <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B11x%20-%203%20%5C%3A%7D%20determine%20%5C%3A%20%20%7Bf%7D%5
    6·1 answer
  • Which of these expressions is equal to 6+ (2 + 3) * 5?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!