Name : ________________
Period:________________ Date:________
Note # 1.2 Segments and Their Measures
Objectives:
-
Find the distance using Segment Addition Postulates.
Find the distance between using the distance formula.
(
) or (
) are the rules that are accepted without proof.
(
) are rules that are proved.
EX1) Fine the distance between two points.
AB =
AC =
BC =
Try ! Find the distance between two points.
AB=
AC=
BC=
When three points lie on a line, one of them is between the other two.
Ex2)
Try!
Ex3) Suppose M is between L and N. Solve for the variable. Then find the lengths of LM, MN,
and LN.
a) LM = 3x + 8
b) LM = 7y + 9
MN = 2x – 5
MN = 3y +4
LN = 23
LN = 143
Ex6) Find the lengths of the segments. Tell whether any of the segments have the same length.
Try!
Ex7)Find the lengths of the segments. Tell whether any of the segments have the same length.
Practice
Find the distance between the two points.
1) A (0,0), B ( 5, 2)
2) G(3, 0), H ( 8, 10)
Midpoints
Midpoints are points that divide a segment into 2 congruent segments.
Ex4)
C is the midpoint of segment AB. If AC = 14, find BC and AB.
Ex5) In the diagram of the collinear points ,PT=20, QS = 6, and PQ = QR = RS. Find the
each length.
QR = ______________
RS= _______________
PQ = ____________
RP=______________
RT = ________________
SP = _____________
Note: Distance formula
Name:____________ Period:________
Objectives: Find the congruent segments.
Use the distance formula to find the distance between two points.
1. A( -2, 3), B( 3, 3), C( -3,4) , D (-3, -1)
2. A( 0, 5) , B(0, -1), C(5, 0 ), D (-1, 0)
The distance formula
Find the distance between the two points.
3. C(0, 0), D(5, 2)
4. G(3, 0), H(8, 10)
5. S(7, 3), T(1, -5)
6. Use the Distance Formula to decide whether JM ~ KL.
a) J ( 3, -5)
b) J ( 0 ,-8)
K( -1, 2)
L ( -5, -5)
K ( 4, 3)
L ( -2, -7)