http://www.ck12.org Chapter 4. Triangles and Congruence
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21.
22.
- Fill in the blanks in the Third Angle Theorem proof below.Given:^6 A∼=^6 D,^6 B∼=^6 EProve:^6 C∼=^6 F
TABLE4.4:
Statement Reason
1.A∼=^6 D,^6 B∼=^6 E- ∼=angles have = measures
3.m^6 A+m^6 B+m^6 C= 180 ◦
m^6 D+m^6 E+m^6 F= 180 ◦ - Substitution PoE
- Substitution PoE
6.m^6 C=m^6 F
7.^6 C∼=^6 F
For each of the following questions, determine if the Reflexive, Symmetric or Transitive Properties of Congruence
is used.
24.^6 A∼=^6 Band^6 B∼=^6 C, then^6 A∼=^6 C
25.AB∼=AB
26. 4 XY Z∼= 4 LMNand 4 LMN∼= 4 XY Z
27. 4 ABC∼= 4 BAC
28. What type of triangle is 4 ABCin #27? How do you know?