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Geometry Unit, Day 2 Homework
Name:____________________________________________________________________Date:________________
CAT  JSD. List each of the following.
1. three pairs of congruent sides
2. three pairs of congruent angles
WXYZ  JKLM. List each of the following.
3. four pairs of congruent sides
4. four pairs of congruent angles
For Exercises 5 and 6, can you conclude that the triangles are congruent? Justify your answers.
5. GHJ and IHJ
6. QRS and TVS
7. Developing Proof Use the information given in the diagram. Give a reason that each statement is true.
a. L  /Q
b. LNM  QNP
c. M  P
d. LM  QP, LN  QN, MN  PN
e. LNM  QNP
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information
to prove the triangles congruent by SSS or SAS, write not enough information. Explain your
answer.
8.
11.
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16.
17. Given: BC  DC, AC  EC
Prove: ABC  EDC
Statements
Reasons
18. Given: WX || YZ ,WX  YZ
Prove: WXZ  YZX
19. Error Analysis FGH and PQR are both equilateral triangles. Your friend says this means
they are congruent by the SSS Postulate. Is your friend correct? Explain.
20. Reasoning Suppose AB  DE, B  E, and AB  BC. Is ∆ABC congruent to
∆DEF? Explain.
21. Given: BD is the perpendicular bisector of AC .
Prove: ∆BAD  ∆BCD
Statements
Reasons
1) BD is the perpendicular bisector of AC .
1) Given
2) AD  CD
2) Definition of segment bisector
3) ADB
3) Definition of perpendicular
and CDB are right .
4)
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Geometry Unit, Day 2 Homework