4 Mid-Chapter Quiz

Do you know HOW?

1. Δ R S T ≅ Δ J K L . cap delta r s t approximately equal to cap delta j k l .  List the three pairs of congruent corresponding sides and the three pairs of congruent corresponding angles.

L M N O ≅ P Q R S . l m n o approximately equal to p q r s .  Name the angle or side that corresponds to the given part.

2. R S ¯ r s bar
3. ∠ L angle l
4. ∠ Q angle q
5. M N ¯ m n bar

State the postulate or theorem you can use to prove the triangles congruent. If you do not have enough information to prove the triangles congruent, write not enough information.

Use the diagram below. Tell why each statement is true.

12. ∠ H ≅ ∠ K angle h approximately equal to . angle k
13. ∠ H N L ≅ ∠ K N J angle h n l approximately equal to , angle k n j
14. Δ H N L ≅ Δ K N J cap delta h n l approximately equal to cap delta k n j

Determine what other information you need to prove the two triangles congruent. Then write the congruence statement and name the postulate or theorem you would use.

15. 
16. 

17. Constructions Construct Δ L M N cap delta l m n  congruent to Δ P Q R cap delta p q r  using SSS.

    

Do you UNDERSTAND?

18. Given: ∠ A ≅ ∠ D , O angle eh approximately equal to angle d comma o  is the midpoint of A D ¯ eh d bar

    Prove: Δ A O B ≅ Δ D O C cap delta eh o b approximately equal to cap delta d o c  

19. Given: A B ¯ ≅ B C ¯ ≅ C D ¯ ≅ D A ¯ , eh b bar , approximately equal to . b c bar , approximately equal to . c d bar , approximately equal to . d eh bar , comma

    ∠ A , ∠ B , ∠ C , angle eh comma , angle b comma angle c comma  and ∠ D angle cap d  are right angles

    Prove: Δ A B C ≅ Δ C D A cap delta eh b c approximately equal to cap delta c d eh  

20. Reasoning Three segments form a triangle. How many unique triangles can you construct using the same three segments? Using the same three angles? Explain.
21. Open-Ended Write a congruency postulate for quadrilaterals. Does your postulate always hold true? Explain.

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