Practice and Problem-Solving Exercises

See Problem 1.

A Practice

Name two triangles that are congruent by ASA.

See Problem 2.

10. Developing Proof Complete the paragraph proof by filling in the blanks.

    

    Given: ∠ L K M ≅ ∠ J K M ,  ∠ L M K ≅ ∠ J M K angle l k m approximately equal to . angle j k m comma . angle l m k approximately equal to , angle j m k

    Prove: Δ L K M ≅ Δ J K M cap delta l k m approximately equal to cap delta j k m

    Proof: ∠ L K M ≅ ∠ J K M angle l k m approximately equal to . angle j k m  and ∠ L M K ≅ ∠ J M K angle l m k approximately equal to . angle j m k  are given. K M ¯ ≅ K M ¯ k m bar , approximately equal to . k m bar  by the a. __?__ Property of Congruence. So, Δ L K M ≅ Δ J K M cap delta l k m approximately equal to cap delta j k m  by b. __?__.

11. Proof Given: ∠ B A C ≅ ∠ D A C , angle b eh c approximately equal to . angle d eh c comma

    A C ¯ ⊥ B D ¯ eh c bar , up tack , b d bar

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

12. Proof Given: Q R ¯ ≅ T S ¯ , q r bar , approximately equal to . t s bar , comma

    Q R ¯ ║ T S ¯ q r bar , box drawings double vertical , t s bar

    Prove: Δ Q R T ≅ Δ T S Q cap delta q r t approximately equal to cap delta t s q

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