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
rusak2 [61]
3 years ago
7

What are the coordinates of the midsegment that is parallel to side BC.

Mathematics
1 answer:
MariettaO [177]3 years ago
8 0

Answer:

Correct choice is D (1,0) and (-2,-1)

Step-by-step explanation:

Triangle DBC has vertices B(-3,1), C(3,3) and D(-1,-3). By the triangle midline theorem, the midline joining the midpoints of two sides is parallel to the third side. Thus, you have to find the coordinates of the midpoints of the sides DB and DC of the triangle DBC.

Let point E be the midpoint of the side BD, then point E has coordinates \left(\dfrac{x_B+x_D}{2},\dfrac{y_B+y_D}{2}\right). If B(-3,1) and D(-1,-3), then

E\left(\dfrac{-3+(-1)}{2},\dfrac{1+(-3)}{2}\right)\Rightarrow E(-2,-1).

Let point F be the midpoint of the side DC, then point F has coordinates \left(\dfrac{x_C+x_D}{2},\dfrac{y_C+y_D}{2}\right). If C(3,3) and D(-1,-3), then

F\left(\dfrac{3+(-1)}{2},\dfrac{3+(-3)}{2}\right)\Rightarrow F(1,0).


You might be interested in
On a scale drawing, a building is 5.5 tall. If the scale if the drawing is 1 inch: 8 ft, how tall is the building
arsen [322]
First, since the building is 5.5 inches and the scale is 1 inch for 8 feet, you would multiply 5.5* 8 to get 44 feet.
7 0
3 years ago
Can someone pls help
tatuchka [14]

Answer:

Step-by-step explanation:

It's not that clear on my screen

5 0
2 years ago
Find the factors of each number in classify each number as a prime or composite<br> 18,37,48
zepelin [54]

18=1,2,3,9,18

37=1,37

48=1,2,3,16,24,12,4,6,8,48

Prime no. is a number that is divisible only by itself and 1

So, here 37 is a prime no.

18 and 48 are composite no.s

7 0
3 years ago
A number to the 10th power divided by the same number to the 7th power equals 125. What is the number?
Viefleur [7K]

Answer:

the number is 5

Step-by-step explanation:

x^10 ÷ x^7 = 125

x^3 = 125

x = 5

6 0
3 years ago
6x-4=-22<br>what's is the value of x​
Helen [10]

Answer:

-3

Step-by-step explanation:

6x - 4 = -22 6x = -18 x = -3

4 0
3 years ago
Read 2 more answers
Other questions:
  • Which property explains why these two expressions are equal? 7 q 4 = 4 7 q A) associative B) commutative C) distributive Elimina
    13·1 answer
  • - 3x + 2y = -6<br> x + 7y = 2
    10·1 answer
  • How can I solve systems of equations by substitution method
    8·1 answer
  • PLEASE HELP!!!!
    9·2 answers
  • Please Help me!!
    8·1 answer
  • Find the domain of the function. (Enter your answers using interval notation.) f(s, t) = square root of s^2+t^2.
    5·1 answer
  • Given that the domain is all real numbers, what is the limit of the range for the function ƒ(x) = 42x - 100?
    15·1 answer
  • Which number line shows how to find 4 and the opposite of 4?
    7·2 answers
  • Aaron has a garden with a width of 6 feet and a length of 8 feet. He plans to make his garden larger by adding g feet to the len
    12·1 answer
  • Please help me with this thanks
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!