Geometry Fall Week 8 HW Answer Key

Note: I made a typo. You do not need to do #24. As usual, if you find any errors, please let me know.

3. Square

4. (1)

9. EF = 19
RT = 38

10a. BE = 83/2
YT = 57/2

10b. YT = 45
LM = 41
BE = 47

13. Statements- 1)Givens2)BA=CD 3)Ang.BAE=Ang.DCF 4)Tri.BAE=Tri.CFD 5)Ang.ABE=Ang.CDF
Reasons- 1)Given 2)Theorem 9.4- Opposite sides of a parallelogram are congruent
3)Theorem 9.3 or Alternate interior angles 4)SAS postulate 5)CPCTC

15. Statements- 1)Givens 2)BA=CD 3)AB=BE 4)BE=CD 5)Ang.EFB=Ang.DFC 6)AD//BC
7)Ang.EBF=Ang.DFC 8)Tri.DFC=Tri.EBF 9)EF=FD
Reasons- 1)Given 2)Theorem 9.4 3)Definition of midpoint 4)Substitution
5)Vertical angles are congruent 6)Definition of a parallelogram
7)Alternate interior angles 8)AAS postulate 9)CPCTC

20. Statements- 1)Givens 2)Ang.B=Ang.D 3)Ang.SBR=Ang.SDR 4)Ang.A=Ang.C
5)Ang.CSD=Ang.ARB 6)Ang.BRD=Ang.DSB 7)BRDS is a parallogram
Reasons- 1)Given 2)Theorem 9.2- Opposite angles in a parallelogram are congruent
3)Halves of congruent angles are congruent 4)Theorem 9.2
5)In a triangle, if two angles are congruent then the third must be congruent
6)Supplements of congruent angles are congruent 7)Definition of a
parallelogram

26) Statements- 1)Givens 2)AW//TC 3)BC//WT 4)AC//WT 5)WACT is a parallelogram
Reasons- 1)Given 2)Segments of parallel lines are parallel 3)Theorem 9.12
4)Extensions of parallel lines are parallel 5)Definition of a
parallelogram

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