This document contains a figure with 9 points (A, B, C, etc.) and asks the reader to determine if 8 statements about the figure are true or false. It also contains sample homework questions about measuring and constructing segments, including finding lengths of segments when points are midpoints or distances between points are given. The document provides practice determining lengths, relationships between parts of segments, and constructing segments based on given information.

1. Class Opener ‐
Use the figure at the right to answer the true/false
questions below.
E
F
1. A, G, and C are collinear.
A
2. A, G, and D are coplanar.
G 3. D and E lie on a ray.
D
4. G lies on the intersection of two lines.
5. C lies on the intersection of a segment and a line.
6. Angle FGC is a right angle.
C
7. Angle ECG is obtuse.
8. G, D, and F lie on the same plane.
9. Ray AG and Ray GC are opposite rays.
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2. Homework Questions:
2

3. 3

4. Section 1.2: Measuring (and Constructing) Segments
Absolute Value Review: What does it actually mean?
4

5. Finding lengths of segments.
What's the difference between IF and IF ???
F I S H
‐3 2.5 5 8
5

6. What about when things are the same???
2 identical segments 2 equal angles 2 twin triangles
6

7. What is the relationship between CA, CT, and AT???
g
C A T
Where is A at?
g
C A T
Would you describe A in the same way in the picture below?
g
C T
A
7

8. Try this...
1. B is between A and C. AC = 14, and BC = 11.4. Find AB.
2. S is between R and T. RS = 2x + 7, RT = 4x, and ST = 28. Find RT.
3. R is between Q and P. QR = x2 ‐ x, RP = ‐2x, and QP = 54. Find RP.
8

9. What's interesting about the picture below???
g
C A T
Another name for what is happening...
These can be created by 4 different things. What do you think they are???
9

10. Try This...Make sure you're thinking!
1. B is the midpoint of AC. AB = 5x, and BC = 3x + 4. Find AB, BC, and AC.
2. A is the midpoint of RT. RT = 4x ‐ 2, and RA = 2x + 1. Find AT.
3. O is the midpoint of DG. DG = 20, and DO = 2x + 5. Find GO. Find x.
4. S is the midpoint of RT. RS = ‐2x, and ST = ‐3x ‐ 2. Find RS, ST, and RT.
10

11. Try these on your own!!!
1. U is the midpoint of XY. Find XY if XU = x2 + 4x ‐ 3 and UY = x2 + 2x + 5.
2. U is the midpoint of XY. Find XY if XY = 3x2 + 5x and UY = x2 ‐ 2x ‐ 7.
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