Assignments Ag Chapter 4 Proofs

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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. mP  mM  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

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