Download 4.4 Day 2 Homework (SAS)

Geometry
Section 4.4b Homework
Name _____________________________________
Complete the following proofs. You may complete any of these as a two-column proof or flow proof (or paragraph proof if you
dare!!). The format of the proofs is just provided for structure but you can choose what you like best.
1. Given: BD  AC , BD bisects AC .
Prove: ABD  CBD
Statements
Reasons
1.
1. Given
2. ADB and CDB are right angles
2.
3.
3. All right angles are 
4. BD bisects AC
4.
5.
5. Definition of bisect
6. BD  BD
6.
7.
2. Given: R is the midpoint of QS and PT
Prove: PRQ  TRS
R is the midpoint of QS
R is the midpoint of PT
7.
3. Given: XYZ is equilateral, WY bisects XYZ
Prove: XW  ZW
Statements
Reasons
1.
1. Given
2.
2. Definition of equilateral
3. WY bisects XYZ
3.
4. XYW  ZYW
4.
5.
5. Reflexive Property
6. XYW  ZYW
6.
7.
7.
4. Is it possible to prove that the triangles are congruent? If so, state the postulate/theorem. If not, write “not possible”.
a)
b)