Advanced Geometry Assignment Sheet Chapter 4 PROOFS Don't forget to draw a sketch for every proof. #31: Proofs p. 237 # 24, 26 p. 245 # 34 – 38 p. 255 # 31 – 34 #32: Proofs p. 260 # 23, 29, 37 p. 263 # 4 – 6 p. 270 # 49 #33: Proof Worksheet 1 #34: Proof Worksheet 2 #35: Proof Worksheet 3
Hw #31: p. 237 #24) Statements 1. GH JK
Reasons 1. Given
2. HJ KG
2. Given
3. GJ JG 4. GHJ ECD
3. Reflexive prop
p. 237 # 26 Statements 1. AE CE 2. AB CD 3. E is midpoint of
4. SSS Postulate
BD
Reasons 1. Given 2. Given 3.Given 4. Def. of midpoint 5. SSS Postulate
4. BE JDE 5. EAB ECD p. 245 # 34 2. Def. of right triangle 3. Given 4. LM NM 6. HL p. 245 # 36 Statements 1. VX XY 2. XW || YZ 3. VXW XYZ
p. 245 # 38 Statements 1. D is midpoint of
AC
2. AD DC 3. ∠BDA & ∠BDA are right 4. BDA BDC 5. BD BD 6. ABD CBD p. 255 #32 Statements 1. X Z 2. VW UW 3. W W 4. XWV ZWU
VY & WZ
Reasons 1. Given 2. Def. of midpoint 3. Given from diagram 4. Right angles are congruent 5.Reflexive Prop 6.SAS Postulate
Reasons 1. Given 2. Given 3. Reflexive Prop. 4.ASA Postulate
2. Def. of midpoint 3. Vertical angles 4. Def. of midpoint. 5. SAS Postulate
4. ZX WX 5. VWX YZX
Hw #32 p. 263 #4 Statements 1. AB CD 2. ABC DCA 3. AC CA 4. ABC CDA
1.
3. || lines → corr. ∠’s are ≅ 4. Given 5.SAS Postulate
Reasons 1. Given
2. VX YX 3. VXW YXV
p. 263 #6 Statements
Reasons 1. Given 2. Given
4. XW YZ 5. VXW XYZ
p. 255 #34 Statements 1. X is midpoint of
PQ MN
2. mP mM 90 3. P M 4. PLQ MLN 5. PLQ MLN 6.
QL NL
Reasons 1. Given 2. Given 3. Reflexive Prop 5. SAS Postulate
Reasons 1. Given 2. Given 3. Angles w/ same measure 4. Vertical angles 5. AAS Postulate 6. CPCTC