Name Date: Period Mod 1.1 Segment Length and Midpoint
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Name Date: Period Mod 1.1 Segment Length and Midpoint TERM SKETCH HOW TO NAME IT is a specific location. It has no di ension and is represented by a dot. is a connected straight path. It has no thickness and it continues forever in both direction. is a flat surface. It has no thickness an it extends forever in all directions. is a portion of a line consisting two points (called endpoints) and Il points between them. is a portion of a line that starts at a point (the endpoint) and continues forever in one direction. - Points that lie on the same plane. - Points that lie on the same line. of a segment- is the point that •vides the segment into two congruent segments.
Transcript of Name Date: Period Mod 1.1 Segment Length and Midpoint
Name Date: PeriodMod 1.1
Segment Length and Midpoint
TERM SKETCH HOW TO NAME IT
is a specific location. It has nodi ension and is represented by a dot.
is a connected straight path. It has nothickness and it continues forever in bothdirection.
is a flat surface. It has no thicknessan it extends forever in all directions.
is a portion of aline consisting two points (called endpoints) and
Il points between them.
is a portion of a line that starts at a point
(the endpoint) and continues forever in one
direction.
- Points that lie on the same
plane.
- Points that lie on the same
line.
of a segment- is the point that
•vides the segment into two congruent segments.
Line SegmentTo measure the LENGTH of a segment, you can use a number line to find the DISTANCE between the two
endpoints, or you can use the formula:
d(on a number line) =
(Where a & b are endpoints of the segment.)
EX 1: Find the distance between —2 and 6 on a number line.
- A statement that is accepted as true without proof.
Postulate 1: Segment Addition Postulate
Let A, B, and C be collinear If B is
between A and C, then AB + BC = AC.
EX 2: a) If B is between A and C and AB = 4 and BC = 5, then AC =
b) If AB = x, BC = x + 6 and AC = 24, then find AB and BC.
AB =11.1
BC =
EX 3: Find PQ QR and PR on the number line shown below.
When
asegment
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ョula
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EX4
【Find
the
distance
between
(2、・1)and
72
、・1).
し6
5】Find
AB.
0ロ0ロロ0ロロロロ固新ロロロロロ0ロ0
0
0ロ00ロロロ0ロ0ロ00ロロロ0ロロ
ロロ0ロロロロロロロ直ロロ000ロ
- The point that divides a segment into two congruent segments.
The Midpoint Formula
The midpoint M of AB with
endpoints A(x:, yo and B(X2, "2)
is given by M
B(X2, h)
Xl+ X2 Yl + Y2
EX 6: Find the midpoint between ( -11, 3 ) and ( 8, -7
MJfO
EX 7: M is the midpoint of AB with A( O, 1 ) and M 3, 5 ). Find the coordinates of B.
Midpoint (on a number line) =Midpoint on a number line:
(Where a & b are coordinates of endpoints. )
Find the coordinate of the midpoint of FG.
