apply concept of congruence to solve problems
TRANSCRIPT
1.2 Segments, Betweenness, and Collinearity 2017.notebook September 02, 2021
1.2 Segment Addition
Your Name
Mrs. Theo
/ /
Notes
Lesson Objectives• Draw and measure segments
• Use the segment addition postulate
• Apply concept of congruence to solve problems
Congruent Segments
Line segments that have the same length are called congruent segments. You can express this in 3 different ways:
1. "The length of AB is equal to the length of CD"
2. "Segment AB is congruent to segment CD."
3. You can use "tick marks" to show congruence.
A BC D
A B C D
1.2 Segments, Betweenness, and Collinearity 2017.notebook September 02, 2021
Between
The apple is between the two boxes.
The ball is between the trees.2 is between 1 and 3.
1 2 3
Betweenness of Points When 3 points are collinear,
you can say that one point is between the other 2.
A
BC
D
E
FB is between points A and C.
E is not between points D and F.
1.2 Segments, Betweenness, and Collinearity 2017.notebook September 02, 2021
Segment Addition Postulate (2 parts)
If B is between points A and C, then AB + BC = AC.
A B C
AC
AB BC
If AB + BC = AC, then B is between points A and C.
In other words:
The smaller parts of the segment add up to equal the whole thing.
AB C
AC = 50
AB = 32
BC =
AB C22
12AC =
1.2 Segments, Betweenness, and Collinearity 2017.notebook September 02, 2021
AB C
AC = 60
AB = 2x + 10
BC = x +4
AB C
AC = 4x 7
AB = 2x + 10
BC = x + 4
Homework: (these are from the textbook 1.2 pg.16 #36,15,16,17,20,21,27,29)
4.5 cm7.75 cm5.75 cm9 cm
Measuring on your paper...
1.2 Segments, Betweenness, and Collinearity 2017.notebook September 02, 2021
FH = 22FH = 7
FH=26FH=20
FH=23
X=5
RS = 20
ST=1
RT=21
X=12
RS = 20
ST = 40
RT = 60
X = 7
RS = 6
ST = 11
RT=17
X = 6
RS = 15
ST = 19
RT = 34