1. 1.2 – Segments and Congruence

2. Positive length between two points
Distance
Congruent Segments
Positive length between two points
Segments with the same length A B C D

3. Rules of geometry that are not proved
Postulate
Rules of geometry that are not proved

4. Ruler Postulate
The distance between 2 points is the absolute value of the difference between them. 1 2 3 4 5 6 7 8
7 – 2
= 5u
2 – 7
= 5u

5. Adding two pieces of a segment total the whole
Segment Addition Postulate
Adding two pieces of a segment total the whole A B C
AB + BC = AC

6. 1. Measure the length of the segment to the nearest tenth of a centimeter.
3.5
AB = ________cm

7. 1. Measure the length of the segment to the nearest tenth of a centimeter.
1.6
CD = ________cm

8. 1. Measure the length of the segment to the nearest tenth of a centimeter.
2.7
EF = ________cm

9. 2. Find the indicated length.
GJ = _______
16u 16

10. 2. Find the indicated length.
ST = _______
19u
37 – 18 = 19

11. 2. Find the indicated length.
YZ = _______
14u
2x x – 1 = 27
YZ = 3(5) – 1
YZ = 15 – 1
5x + 2 = 27
YZ = 14
5x = 25
x = 5

12. 3. Name the congruent segments using proper notation.

13. JK = _____ KL = _____ JL = _____ MK = _____ 5u 4u 9u 10u
4. Use the number line to find the indicated measure.
JK = _____ KL = _____
JL = _____ MK = _____ 5u 4u 9u
10u

14. A(2, 2), B(2, –1), C(0, –2), D(3, –2) AB = 3u CD = 3u A B C D
5. Plot the given points in a coordinate plane. Then determine whether the line segments named are congruent.
A(2, 2), B(2, –1), C(0, –2), D(3, –2)
AB = 3u
CD = 3u A B C D

15. E(–3, 2), F(1, 2), G(2, 3), H(2, –2) EF = 4u G GH = 5u E F
5. Plot the given points in a coordinate plane. Then determine whether the line segments named are congruent.
E(–3, 2), F(1, 2), G(2, 3), H(2, –2)
EF = 4u G
GH = 5u E F
Not congruent H

16. 6. In the diagram, points P, Q, R, and S are collinear, PS = 46, PR = 18, and PQ = QR. Find the indicated length.
PQ =
QR =
QS =
RS = 9u 46 9 9u 9 18
37u 28
28u

17. 2x – 5 6x 27 HJ + JK = HK 2x – 5 + 6x = 27 HJ = 2(4) – 5 HJ = 8 – 5
7. Point J is between H and K.. Use the given information to draw a diagram and write an equation in terms of x. Solve the equation. Then find HJ and JK.
2x – 5 6x H J K
HJ = 2x – 5
JK = 6x 27
HK = 27
HJ + JK = HK
2x – 5 + 6x = 27
HJ = 2(4) – 5
HJ = 8 – 5
8x – 5 = 27
HJ = 3u
8x = 32
JK = 6(4)
JK = 24u
x = 4

18. 4x + 7 5x – 8 53 HJ + JK = HK 4x + 7 + 5x – 8 = 53 HJ = 4(6) + 7
7. Point J is between H and K.. Use the given information to draw a diagram and write an equation in terms of x. Solve the equation. Then find HJ and JK.
4x + 7
5x – 8 H J K
HJ = 4x + 7
JK = 5x – 8 53
HK = 53
HJ + JK = HK
4x x – 8 = 53
HJ = 4(6) + 7
HJ =
9x – 1 = 53
HJ = 31u
9x = 54
JK = 5(6) – 8
JK = 30 – 8
x = 6
JK = 22u

19. HW Problem
Section
Page #
Assignment
Spiral ?s
1.2
12-13
3-19 odd, 21-26, 28, 29
(draw picture for #21-26 and #28-29)
3-5
# 22 52
VW = 22 22 10 10 10 20
Compass, ruler, and protractor, and calculator due
Book Cover and Syllabus Due Monday!!!!!!