A. Find the midpoint of the line segment with the given endpoint.
1. P(-1,-6) and P (-6,5)
2. W(-1.2,1.0) and A (5.2,-5.3)
3. C (2,-1) and T (-6,0)
B. Find the other endpoint of the line segment with the given endpoint and midpoint.
1. Endpoint : (2, 5)
Midpoint : (5,1)
2. Endpoint : (-1,9)
Midpoint : (-9,-10)
Answers
Step-by-step explanation:
hope this answers help you
Answer: Midpoint of the line segment = (x₁ + y₁) / 2 , (x₂ + y₂) /2
Step-by-step explanation:
1. P(-1,-6) and Q (-6,5)
x₁ = -1 , y₁=-6 , x₂=-6 ,y₂= 5
Midpoint = (x₁ + y₁) / 2 , (x₂ + y₂) /2
= (-1-6) /2, (-6+5) /2
=( -3.5, -0.5)
2. W(-1.2,1.0) and A (5.2,-5.3)
x₁ = -1.2 , y₁=1.0 , x₂=5.2 ,y₂= -5.3
Midpoint = (x₁ + y₁) / 2 , (x₂ + y₂) /2
= ( -1.2 + 1.0)/2 , ( 5.2-5.3)/2
= (-0.1 , -0.05)
3. C (2,-1) and T (-6,0)
x₁ = 2 , y₁=-1 , x₂=-6 ,y₂= 0
Midpoint = (x₁ + y₁) / 2 , (x₂ + y₂) /2
=( 2-1 )/2 , (-6+0)/2
= (0.5 , -3 )
The midpoint theorem states that “The line segment drawn from the midpoint of two sides of the triangle is parallel to the third side and is equal to half of the third side of the triangle. Geometry deals with different shapes and figures. Triangles are an important part of geometry and the mid-point theorem points towards the midpoints of the triangle.
To know more about midpoint from the given link
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