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Svetach [21]
3 years ago
13

Helppppppp meee plsss

Mathematics
1 answer:
jonny [76]3 years ago
6 0

Answer:

C

Step-by-step explanation:

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What are the coordinates of the endpoints of the midsegment for △XYZ that is parallel to XZ⎯⎯⎯⎯⎯ ?
Ksenya-84 [330]

The coordinates of the endpoints of the mid-segment of Δ XYZ that parallel to XZ are (1 , 6) and (1 , 3)

Step-by-step explanation:

In a triangle the segment which joining the mid points of two sides:

  • Parallel to the 3rd side
  • Its length is equal half the length of the 3rd side
  • It's called the mid-segment of the triangle

In Δ XYZ

∵ Vertex X is (0 , 7)

∵ Vertex Y is (2 , 5)

∵ Vertex Z is (0 , 1)

∵ The mid-segment of Δ XYZ is parallel to XZ

- The mid-segment intersects the other two sides of the Δ

  at their mid-points

∴ The mid-segment intersects XY and YZ at their midpoints

∴ The endpoints of the mid-segment are the midpoints of

   XY and YZ

The mid point of a segments whose endpoints are (x_{1},y_{1}) and (x_{2},y_{2}) is (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

∵ X = (0 , 7) and Y = (2 , 5)

∴ x_{1} = 0 and x_{2} = 2

∴ y_{1} = 7 and y_{2} = 5

∵ The mid point of XY = (\frac{0+2}{2},\frac{7+5}{2})

∴ The mid point of XY = (\frac{2}{2},\frac{12}{2})

∴ The mid point of XY = (1 , 6)

∵ Z = (0 , 1) and Y = (2 , 5)

∴ x_{1} = 0 and x_{2} = 2

∴ y_{1} = 1 and y_{2} = 5

∵ The mid point of ZY = (\frac{0+2}{2},\frac{1+5}{2})

∴ The mid point of ZY = (\frac{2}{2},\frac{6}{2})

∴ The mid point of ZY = (1 , 3)

∵ The endpoints of the mid-segment are the midpoints of

   XY and YZ

∴ The end points of the mid segments are (1 , 6) and (1 , 3)

The coordinates of the endpoints of the mid-segment of Δ XYZ that parallel to XZ are (1 , 6) and (1 , 3)

Learn more:

You can learn more about the mid-point in brainly.com/question/5223123

#LearnwithBrainly

7 0
3 years ago
Jordan wants to measure a length of fabric, but the only tape measure she has is damaged. The first number on her tape measure i
Alex
Djdjxkdjdkdkdjddjdjdj yuppppppppp 37387(5y6666+4)WEI
7 0
2 years ago
I need help with this problem plzzz
Effectus [21]

Not sure sorry but you can. Try searching on google or yahoo answers

6 0
3 years ago
Which graph is the result of reflecting f(x) = (8)* across the y-axis and then across the x-axis? O 8- 6- 8 7 ​
marta [7]

I assume you meant f(x)=8^x.

Reflecting across the x-axis would give y=-8^x.

Reflecting across the y-axis would give y=8^{-x}.

8 0
2 years ago
PLEASE HELP ME
balandron [24]

Answer:

  • The sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is <u>translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis</u>.

Explanation:

By inspection (watching the figure), you can tell that to transform the triangle XY onto triangle X"Y"Z", you must slide the former 5 units to the left, 1 unit down, and, finally, reflect it across the x-axys.

You can check that analitically

Departing from the triangle: XYZ

  • <u>Translation 5 units to the left</u>: (x,y) → (x - 5, y)

  • Vertex X: (-6,2) → (-6 - 5, 2) = (-11,2)
  • Vertex Y: (-4, 7) → (-4 - 5, 7) = (-9,7)
  • Vertex Z: (-2, 2) → (-2 -5, 2) = (-7, 2)

  • <u>Translation 1 unit down</u>: (x,y) → (x, y-1)

  • (-11,2) → (-11, 2 - 1) = (-11, 1)
  • (-9,7) → (-9, 7 - 1) = (-9, 6)
  • (-7, 2) → (-7, 2 - 1) = (-7, 1)

  • <u>Reflextion accross the x-axis</u>: (x,y) → (x, -y)

  • (-11, 1) → (-11, -1), which are the coordinates of vertex X"
  • (-9, 6) → (-9, -6), which are the coordinates of vertex Y""
  • (-7, 1) → (-7, -1), which are the coordinates of vertex Z"

Thus, in conclusion, it is proved that the sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.

7 0
3 years ago
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