http://www.ck12.org Chapter 2. Reasoning and Proof
- List two pairs of vertical angles.
- List all the pairs of congruent segments.
- List two linear pairs that do not haveHas the vertex.
- List a right angle.
- List two pairs of adjacent angles that are NOT linear pairs.
- What is the perpendicular bisector ofAE?
- List two bisectors ofMP.
- List a pair of complementary angles.
- IfGCis an angle bisector of^6 AGE, what two angles are congruent?
- Fill in the blanks for the proof below. Given: Picture above and^6 ACH∼=^6 ECHProve: CHis the angle
bisector of^6 ACE
TABLE2.24:
Statement Reason
1.^6 ACH∼=^6 ECH
CHis on the interior of^6 ACE
2.m^6 ACH=m^6 ECH
3. Angle Addition Postulate
4. Substitution
5.m^6 ACE= 2 m^6 ACH
6. Division PoE
7.
For questions 21-25, find the measure of the lettered angles in the picture below.
21.a
22.b
23.c
24.d
25.e(hint:eis complementary tob)
For questions 26-35, find the measure of the lettered angles in the picture below.Hint: Recall the sum of the three
angles in a triangle is 180 ◦.