Triangle C has vertices (2, – 1), (2, 2), and (1, -1).
NEED HELP ASAP
Which triangle is similar to triangle C?
0 Triangle X with vertices (-2, 2), (2, 4), and (1,2)
o Triangle Y with vertices (4, 1), (2, 3), and (2, 2)
o Triangle Z with vertices (4, - 2), (4, 4), and (2, - 2)
o Triangle W with vertices (4, – 3), (4, 0), and (2. – 3)

Answers

Answer 1

Answer:

Triangle Z

Explanation:

Required

Similar triangle to triangle C

Similar triangles do not necessarily have the same size. However, they must be in proportion of size and their angles must be equal.

From the list of options given, triangle Z is a dilation of C and this is shown below.

[tex]C = (2,-1), (2,2), (1,-1)[/tex]

[tex]Z = (4, - 2), (4, 4), (2, - 2)[/tex]

Divide the corresponding coordinates of Z by C to get the scale factor.

[tex]Scale\ Factor = \frac{Z}{C}[/tex]

For [tex]C = (2,-1)[/tex] and [tex]Z = (4, - 2[/tex]

[tex]Scale\ Factor = \frac{(4,-2)}{(2,-1)}[/tex]

Factorize:

[tex]Scale\ Factor = \frac{2(2,-1)}{(2,-1)}[/tex]

[tex]Scale\ Factor = 2[/tex]

For [tex]C = (2,2)[/tex] and [tex]Z = (4, 4)[/tex]

[tex]Scale\ Factor = \frac{(4,4)}{(2,2)}[/tex]

Factorize:

[tex]Scale\ Factor = \frac{2(2,2)}{(2,2)}[/tex]

[tex]Scale\ Factor = 2[/tex]

Lastly;

[tex]C = (1,-1)[/tex]

[tex]Z =(2, - 2)[/tex]

[tex]Scale\ Factor = \frac{(2,-2)}{(1,-1)}[/tex]

Factorize:

[tex]Scale\ Factor = \frac{2(1,-1)}{(1,-1)}[/tex]

[tex]Scale\ Factor = 2[/tex]

Notice that the scale factor is the same all through.

Hence, Z is similar to C


Related Questions

An object of mass 30 kg is falling in air and experiences a force due to air resistance of 50 newtons. Determine the net force acting on the object and calculate the acceleration of the object.

Answers

Answer:

The net force is 244 N and acceleration is [tex]8.14\ m/s^2[/tex].

Explanation:

Given that,

Mass of an object, m = 30 kg

It experiences a force due to air resistance of 50 N

We need to find the net force acting on the object and the acceleration of the object.

The force that is due to air resistance opposes the motion of the object. The net force acting on it is :

[tex]F_{net}=mg-f[/tex]

f is air resistance

[tex]F_{net}=30\times 9.8-50\\\\=244\ N[/tex]

Let a be the acceleration of the object. Using second law of motion to find it :

[tex]F_{net}=ma\\\\a=\dfrac{F_{net}}{m}\\\\a=\dfrac{244}{30}\\\\=8.14\ m/s^2[/tex]

Hence, the net force is 244 N and acceleration is [tex]8.14\ m/s^2[/tex].

is anime pog yes or no tell me now
why is shrek so hot

Answers

Answer: yes and yes

Explanation:anime is amazing and shrek is tall

Answer:

Yes and yes

Explanation:

Anime: https://th.bing.com/th/id/OIP.RiNGe9Y8KFUmsELYUESAOwHaKz?w=120&h=180&c=7&o=5&pid=1.7

Shrek:

(lol)

As per MLA 2009 which of the following need NOT be mentioned when citing from a Web site? yes i did did you say that you were going to to to

Answers

As per MLA 2009, a website URL need not be mentioned when citing from a Web site. Thus, the correct option for this question is A.

What is a URL?

URL stands for Uniform Resource Locator. It may be characterized as a kind of testimonial or recommendation of references to a resource on the Internet. URL has two main components i.e.  Protocol identifier and Resource name.

According to the context of this question, when no author is listed, you may generally omit the information of an author from the MLA citation for the website and begin, instead, with the title “Title of Web Page.” Title of Website, Publisher, date published in day month year format, URL.

In-text citations generally contain the author's last name (surname) and page location of cited material placed within parentheses at the end of a sentence.

Therefore, as per MLA 2009, a website URL need not be introduced when citing or visiting a Web site. Thus, the correct option for this question is A.

To learn more about Website URLs, refer to the link:

https://brainly.com/question/19715600

#SPJ6

Answer:

A. Web site url

Explanation:

Edmentum

ayo i miss my ex :(
pls tell me im not the only one

Answers

mhm ya u da only one

Answer:

we have all been there

(i still cry in the bathroom) XD

True or False: The greatest threat to biodiversity is invasive species

Answers

Answer:

Its true, that Invasive Species are a great threat to biodiversity.

4. Tangible items that have monetary value and satisfy your needs and wants are called
Services
a.
b. Goods
c. Marketing
d. Needs

Answers

Answer:

Goods

Explanation:

Answer:goods is your answer:)I’m pretty sure

Which of the following is not One of the characteristics of money ?

A. Durability

B. Uniformity

C. Acceptability

D. Unlimited supply

Answers

D is the answer, unlimited supply is NOT a characteristic of money
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