Warm-Up
Exercises
Bell Work
1. Find three cities on this map that appear to be
collinear.
2. Are these three cities also coplanar?
3. Find the average of 11 and 5.
x+7
4. Solve 2 = 5.
Warm-Up
Exercises
Daily Routines
• Prayer
• Check HW (get out your homework from the
weekend and a pen)
Warm-Up
Exercises
Notes
• Midpoint
• Segment Bisector
Warm-Up1Exercises
EXAMPLE
Find segment lengths
Skateboard
In the skateboard design, VW bisects XY at point T,
and XT = 39.9 cm. Find XY.
Warm-Up2Exercises
EXAMPLE
Use algebra with segment lengths
ALGEBRA Point M is the midpoint
of VW . Find the length of VM .
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
In Exercises 1 and 2, identify the segment bisector
of PQ . Then find PQ.
1.
ANSWER
3
MN; 3 4
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 1 and 2
In Exercises 1 and 2, identify the segment bisector
of PQ . Then find PQ.
2.
ANSWER
5
line l ; 11
7
Warm-Up
Exercises
Notes
Midpoint Formula
Warm-Up3Exercises
EXAMPLE
Use the Midpoint Formula
a.
FIND MIDPOINT The endpoints of RS are R(1,–3)
and S(4, 2). Find the coordinates of the midpoint M.
Warm-Up3Exercises
EXAMPLE
Use the Midpoint Formula
b.
FIND ENDPOINT The midpoint of JK is M(2, 1). One
endpoint is J(1, 4). Find the coordinates of
endpoint K.
Warm-Up
Exercises
GUIDED
PRACTICE
3.
The endpoints of AB are A(1, 2) and B(7, 8). Find
the coordinates of the midpoint M.
ANSWER
4.
for Example 3
(4,5)
The midpoint of VW is M(– 1, – 2). One endpoint
is W(4, 4). Find the coordinates of endpoint V.
ANSWER (– 6, – 8)
Warm-Up
Exercises
Notes
Distance Formula
Warm-Up
Exercises
GUIDED
PRACTICE
5.
for Example 4
In Example 4, does it matter which ordered pair
you choose to substitute for (x1, y1) and which
ordered pair you choose to substitute for (x2 , y2)?
Explain.
Daily
Homework
Warm-Up
Exercises
Quick
CheckQuiz
1.
AB bisects CD at E. If CE =2
ANSWER
2.
1
in., Find CD.
4
4 1 in.
2
Point M is the midpoint of XY. Find XM.
ANSWER
17
Daily
Homework
Warm-Up
Exercises
Quick
CheckQuiz
3.
Point M is the midpoint of PQ with endpoints
P(2, – 6 ) and Q(– 8, 0). Find the coordinates of M.
ANSWER
4.
(–3, –3)
The midpoint of GH is M(4, –1). One endpoint is
G(5, 3) . Find the coordinates of H.
ANSWER
(3, –5)
Warm-Up
Exercises
For Tomorrow
Homework
1.3 (pgs. 19-21) # 5,6,13,15,20,27,32,37,48