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
ch4aika [34]
3 years ago
9

What is the composition of Transformations mapping ∆ABC to ∆A'B"C"?

Mathematics
2 answers:
sergiy2304 [10]3 years ago
8 0

Answer:   The first transformation is a. <u>a reflection across m.</u>

The second transformation is b. <u>a rotation about a.</u>

∆ABC is<u> c.</u><u> congruent </u>to​ ∆A'B"C".

Step-by-step explanation:

In the given picture, we can see that ΔABC is reflected across line m to create ΔA'B'C' such that all the corresponding points in both the triangles are equidistant from the line of reflection m.

∴ First transformation: Reflection across m.

After that, there is rotation of  ΔA'B'C' about point A' about some degrees such that, every corresponding points in both the triangles are equidistant from the point of rotation A'.

∴ Second transformation : Rotation about A'.

Since reflection and rotation are rigid transformations, therefore they produce only congruent figures.

Therefore, ∆ABC ≅ ∆A'B'C'

∆A'B'C' ≅  ∆A'B"C"

By law of transitivity of congruence,

∆ABC  ≅ ∆A'B"C"

irina1246 [14]3 years ago
5 0

Answer:

I would say the answer is

1. reflection across m

2. rotation about a

3. congruent to

all transformations are congruent to each other unless it is a dilation.

Step-by-step explanation:

You might be interested in
Pick the correct answer :)
amm1812
= 3a^2b(cuberoot(b^2)) - 3a^2b^3(square root(3a))

answer is the first choice

4 0
3 years ago
Find m/EGD. (measurement in degrees)
Wewaii [24]

Answer:

\huge\boxed{\bf\:30^{\circ}}

Step-by-step explanation:

We need to find m ∠EGD.

From the given figure, we can see that, ∠BGA & ∠EGD are vertically opposite angles (opposite angles that share the same vertex ⟶ G).

Also, vertically opposite angles are equal to each other.

Given,  ∠BGA = 30°

So,  ∠EGD =  ∠BGA = 30°.

\rule{150pt}{2pt}

6 0
2 years ago
Read 2 more answers
(15 pts) 4. Find the solution of the following initial value problem: y"-10y'+25y = 0 with y(0) = 3 and y'(0) = 13
jolli1 [7]

Answer:

y(x)=3e^{5x}-2xe^{5x}

Step-by-step explanation:

The given differential equation is y''-10y'+25y=0

The characteristics equation is given by

r^2-10r+25=0

Finding the values of r

r^2-5r-5r+25=0\\\\r(r-5)-5(r-5)=0\\\\(r-5)(r-5)=0\\\\r_{1,2}=5

We got a repeated roots. Hence, the solution of the differential equation is given by

y(x)=c_1e^{5x}+c_2xe^{5x}...(i)

On differentiating, we get

y'(x)=5c_1e^{5x}+5c_2xe^{5x}+c_2e^{5x}...(ii)

Apply the initial condition y (0)= 3 in equation (i)

3=c_1e^{0}+0\\\\c_1=3

Now, apply the initial condition y' (0)= 13 in equation (ii)

13=5(3)e^{0}+0+c_2e^{0}\\\\13=15+c_2\\\\c_2=-2

Therefore, the solution of the differential equation is

y(x)=3e^{5x}-2xe^{5x}

5 0
3 years ago
for each quantity decide whether circumference or area would be needed to calculate it expain or show reasoning the distance aro
Volgvan
The most right answer would be the one you think because I think that’s right 4x4
4 0
2 years ago
What is the value of sin theta in the diagram below?
Kay [80]

sin theta = opp/hyp

sin theta =y/r

sin theta = 24/25 /1

sin theta = 24/25

c

7 0
3 years ago
Read 2 more answers
Other questions:
  • Carlos operates a helicopter. Carlos decides to measure the rotational velocity of the helicopter blades. What would be an appro
    8·1 answer
  • Can someone please help me!
    12·1 answer
  • How do you work this problem 4x+1&lt;9​
    10·1 answer
  • Reduce the fraction -20t^5u^2v^3/ 48t^7u^4v
    10·1 answer
  • What does x equal 3.25x-2.5= -9.75x+4
    11·2 answers
  • Please help me with this, But I can’t decide if it’s A or B. Please explain !!!
    15·2 answers
  • The scale on a drawing is 1 cm = 4.5 meters. If the length of the drawing is 6.2 cm, what is the actual length in meters?
    9·1 answer
  • (5 - 2i) + (-4 + 81)<br> O A. 5i<br> B. 7i<br> O c. 1-6<br> D. 1 + 6
    14·2 answers
  • Evaluate 3x + 34 if x = 5.
    12·2 answers
  • Find the distance between each pair of points. Round to the nearest tenth, if necessary.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!