Segments and also rays space under the subset the lines. A segment is a component of a line having two endpoints and also has a specific length. ~ above the various other hand, a ray is also a component of line having one endpoint and the various other direction expand indefinitely. Figure 1 illustrates a segment and also a ray.
A segment is a set of clues consisting of 2 points the the line called the endpoints, and every one of the points of the line in between the endpoints. It is commonly used to stand for the length, height, or width of a specific object and also the distance between two objects. It is named by making use of the brand of that endpoints and also insert a heat (( ) ̅) above the letters. Figure 2 mirrors segment abdominal muscle which can also be composed as (AB) ̅.
You are watching: Part of a line with two endpoints
Draw two points and label it as C and D.
Connect the two points right each other.
price : 6
Use the points in the line as endpoints the the segments.
The segments room (QR) , (RS) , (ST) , (QS) , (RT) , and also (QT) .
A midpoint of a segment is the suggest that divides the heat segment into two congruent parts. It is situated at the center of the segment. Number 3 mirrors the midpoint of a segment.
Note: The two vertical lines show that the distances from the midpoint to both endpoints are equal.
The midpoint Z divides (XY) into two congruent parts: (XZ) and (YZ) .
The length of (XZ) is ½ the size of (XY) which is ½ 12 = 6.
The midpoint O divides (NP) ̅ right into two congruent parts: (NO) ̅ and also (PO) ̅.
sThe size of (NP) ̅ is twice the length of (NO) ̅ which is 2 9 = 18.
Addition and Subtraction the Segments
Figure 4 illustrates three collinear point out E, F, and also G developing a segment.
Points E and also G constitute the endpoints the the segment i m sorry is (EG) and point F in in between divides (EG) into two segments: (EF) and also (FG) . The sum of the lengths of (EF) and (FG) is equal to the length of (EG) . Therefore, (EF) + (FG) = (EG) . The expression to represent a segment if point F is in between Points E and also G.
The adhering to expressions are likewise true for the lengths the the segments:
(EF) = (EG) – (FG)
(FG) = (EG) – (EF)instance 5
Find the length of (JL) in the figure.
Points J and also L room endpoints the (JL) and point K is between points J and L.
Therefore, (JK) + (KL) = (JL) .
(JL) = 6 + 4 = 10.
The size of (UV) is 13 and also W is in between points U and also V. If (WU) = 5, what is the length of (VW) ?
Points U and V are endpoints that (UV) and suggest W is between points U and V.
Therefore, (UW) + (VW) = (UV) .
(UW) = (WU) = 5
So, (VW) = (UV) - (UW) = 13 – 5 = 8.
Definition of a Ray
A ray is composed of a suggest on a line and also all point out on one side of the point. It has only one endpoint. Rays are frequently used in physics to represent direction and likewise force. In naming a ray, take into consideration two clues in the ray: one is the endpoint and also the various other is any point in the ray. The label of the endpoint must be the very first letter that the name of the ray and place a right arrowhead sign ( ( ) ) over the letters. Figure 5 illustrates a ray labeled together (RY) .
Opposite rays are two rays that lie top top the same line having actually a typical endpoint and no other allude in common. In figure 6 shown, (RS) ̅ and (ST) ̅ room opposite rays.
Draw (AE) .
Draw 2 points and also labeled it as A and E.
Connect the 2 points straight each other and extend the line from point E.
Find the variety of rays that can be found in the line.
Consider two points in the line together the points of the ray.
Rays pointing to the right can be called as (MB) , (BP) , (PC) , (MP) , (BC) , and also (MC) .
Rays pointing to the left deserve to be named as (CP) ,(PB) , (BM) , (CB) , (PM) , and (CM) .
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There are 12 rays the are found in the line.
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