Writing About Mathematics 1. Is it ever correct to write AB = ĊD? If so, what does that imply about A, B, C, and D? 2. If AM = MB, does this necessarily mean that M is the midpoint of AB? Explain why or why not.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.4: Basic Constructions Justified
Problem 38E
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L
c. PQ + QS = 2 + 4 = 6 and PS = 6. Therefore, PQ + QS = PS.
Exercises
Writing About Mathematics
1. Is it ever correct to write AB =
CD? If so, what does that imply about A, B, C, and D?
2. If AM =
MB, does this necessarily mean that M is the midpoint of AB? Explain why or
why not.
Developing Skills
In 3-6, state two conclusions that can be drawn from the given data. In one conclusion, use the sym-
bol =; in the other, use the symbol =.
3. T is the midpoint of AC.
4. MN bisects RS at N.
5. C is the midpoint of BD.
6. LM bisects ST at P.
Transcribed Image Text:L c. PQ + QS = 2 + 4 = 6 and PS = 6. Therefore, PQ + QS = PS. Exercises Writing About Mathematics 1. Is it ever correct to write AB = CD? If so, what does that imply about A, B, C, and D? 2. If AM = MB, does this necessarily mean that M is the midpoint of AB? Explain why or why not. Developing Skills In 3-6, state two conclusions that can be drawn from the given data. In one conclusion, use the sym- bol =; in the other, use the symbol =. 3. T is the midpoint of AC. 4. MN bisects RS at N. 5. C is the midpoint of BD. 6. LM bisects ST at P.
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