Geometry Practice Test - Unit 4a

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					Geometry Practice Test – Unit 4a                     ☺Name: ___________________☺
Triangle Relationships                                Date: ___________ Pd: ____

Definitions (1-4)
   1) Isosceles triangle

   2) Scalene triangle

   3) Side Angle Side Congruence Postulate (SAS)



   4) Triangle Sum Theorem



   5) Name 4 ways of proving triangles congruent.




   6) Which, if any, congruence theorem or postulate would prove the triangles are congruent?

                         C                      F




              A                  B D                        E

          Write a congruence statement if possible: ___________________________

   7) Which, if any, congruence theorem or postulate would prove the triangles are congruent?
                             D
                                            C




                A
                                   B

          Write a congruence statement if possible: ___________________________




Unit 4a: Practice Test                 Triangle Relationships                      Page 1 of 4
   8)    Find the value of x.


                              40°




                 x°



   9)    Find the value of x.


                          (3x + 5) °


                    55°                        x°



   10)    Find the value of x.

                                                         60°



                              (2x – 30)°                   (x + 10) °


   11)    In the figure below, ABCDE ≅ LMNOP . Which side of LMNOP corresponds to CD ?

                          B                                             N
                                           C
                                                               O
                                                                                M
                A
                                           D
                                                            P
                                                                            L
                                E




Unit 4a: Practice Test                         Triangle Relationships               Page 2 of 4
   12)   Given that ΔABC ≅ ΔMNO , AC = 4 ( x + 3) and MO = ( 7 x − 6) , find the value of x.
              HINT – Draw & label the picture!




   13)   Given that ΔDEF ≅ ΔLMN , m ∠D = (2x + 15)°, m ∠L = (3x − 6)°, and DF = ( 4x − 68 ) ,
         find LN. HINT – Draw & label the picture!




   14) Fill in the blank:
      Corresponding Parts of _____________ Triangles are Congruent.              (CPCTC)




Unit 4a: Practice Test                  Triangle Relationships                             Page 3 of 4
   15) State the reason for the statement in Step 4.

          Proof of Theorem: Base angles of an isosceles triangle are congruent

              Given: ∆ABC is isosceles                                     C
              Prove: ∠ A ≅ ∠ B




                                                               A       X         B
                  Statements                         Reasons


          1) ∆ABC is isosceles               1) Given
          2) AC ≅ BC                         2) Def. Isosceles ∆
          3) Draw ∠ bisector CX              3) Construction
          4) ∠ACX ≅ ∠BCX                     4) ______________________
          5) CX ≅ CX                         5) Reflexive property
          6) ΔAXC ≅ ΔBXC                     6) SAS
          7) ∠A ≅ ∠B                         7) CPCTC



   16)   Write a two-column proof.
                                                 C                                   B
       Given: CE ≅ BE and AE ≅ DE

       Prove: ΔAEC ≅ ΔDEB                                          E

                                         A
                                                                                              D




Unit 4a: Practice Test                Triangle Relationships                             Page 4 of 4