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
Iteru [2.4K]
2 years ago
6

Given points A(−2,0), B(−5,3), C(−9,−1), P(7,6), Q(4,0), and R(−4,4), which of the following proves that △ABC~△PQR?

Mathematics
1 answer:
UNO [17]2 years ago
7 0

Based on the SSS similarity theorem, △ABC ~ △PQR because AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5 (option D).

<h3>The SSS Similarity Theorem</h3>

Two triangles having three pairs of sides that are proportional can be proven to be similar by the SSS similarity theorem.

If the triangle ABC and triangle PQR are similar, their corresponding sides will be proportional, meaning that: AB/PQ = BC/QR = CA/RP.

Therefore, using the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, the sides of each triangle is found.

Therefore, it shows that:

AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5

Therefore, based on the SSS similarity theorem, △ABC ~ △PQR because AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5 (option D).

Learn more about the SSS similarity theorem on:

brainly.com/question/4163594

You might be interested in
Help please))))))))))
viva [34]
I only know (b) and 28 (c)
(b) Multiples of 120= 120,240,360,480,600
Multiples of 150= 150,300,450,600
Both numbers have 600 as their first common multiple so the ANSWER is 600
28. (a) Common factors of 24= 1,2,3,4,6,8,12,24
Common factors of 64= 1,2,4,8,16,32,64
8 is the only common factor for both 24 and 64 so 8 is the ANSWER
4 0
3 years ago
Simplify this expression 8+19m-6m
gladu [14]
I am pretty sure that it would be 13m + 8. All you have to do is combine the like terms.
7 0
3 years ago
a triangle has area 49.5 cm^2. if the base of the triangle is 9 cm, what is the height of the triangle
Anika [276]
Area of a triangle = (height * base ) / 2

height = (Area * 2) / base
height = (49.5 * 2) / 9
height = 99 / 9
height = 10 cm²
3 0
3 years ago
A trapezoid has an area of 13.5 square inches. If the bases are 3 and 6 inches what is the height?
liraira [26]
Well the formula is : b1+b2/2 (h)

so the height would be solved as : 
13.5 = 3+6/2 (h)
13.5 = 9/2 (h)
h = (13.5)/(9/2)
h = (13.5) x (2/9)  *reciprocal*
h = (27) / (9)
h = 3


5 0
3 years ago
The points plotted below are on the graph of a polynomial. Some of the roots to this polynomial are integers. Which of the follo
Shkiper50 [21]

Answer:

I think its B but I have very little evidence. Don't even put B but I was just saying I think it is.

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Determine whether the given relation is an implicit solution to the given differential equation. assume that y is a function of
    10·1 answer
  • 29 is 6 more than k. <br> Solve for k. <br> Make an equation for k.
    5·2 answers
  • What is 14% of 325.84
    5·2 answers
  • Plz Help FAST!!! Proportional relationship Study Island
    5·1 answer
  • A camp counselor needs 12 bags of candy that each weigh 112 pounds. How many ounces of candy does the camp counselor need?
    10·2 answers
  • Hi..can anyone help me.. I really just want to know how can you do it.. I want to learn because I have more examples.. can anyon
    6·1 answer
  • 7. How many servings could you make if you had 3/4 cup of diced onion?
    14·1 answer
  • PLSS HELP
    10·1 answer
  • 36 men can compete a piece of work in 18 days in how many days will 27 men compete the same work​
    14·2 answers
  • Find the area of a circle with the diameter of 10 cm
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!