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CC Geometry
Worksheet 2-7
HW#______
Name__________________________________
Per______Col_____Date___________________
1. Use the given flow chart proof to write a two-column proof of the Right Angle Congruence
Theorem (all right angles are congruent).
Given: 1 and 2 are right angles.
Prove: 1  2
Statements
2.
Reasons
1.
1.
2.
2.
3.
3.
4.
4.
Use the given two-column proof to write a flowchart proof.
Given: 4  1
1
Prove: 4  2
4
Statements
Reasons
1. 4  1
1.
2. 1  2
2.
3. 4  2
3.
2
3.
Use the given two-column proof to write a flow chart proof.
Given: JKL is a right angle.
Prove: 1 and 2 are complementary angles.
Statements
4.
Reasons
1. JKL is a right angle.
1. Given
2. mJKL  90
2.
3. mJKL  m1  m2
3.
4. 90  m1  m2
4. Substitution
5. 1 and 2 are complementary angles.
5.
Complete the two-column proof.
Given: AB  CD, BC  DE
Prove: C is the midpoint of AE
Statements
Reasons
1. AB  CD
BC  DE
1.
2. AB  BC  CD  DE
2.
3. AB  BC  AC, CD  DE  CE
3.
4. AC  CE
4.
5.
AC  CE
6. C is the midpoint of AE .
CC Geo WS 2-7 F2014
5.
6.