Practice and Problem-Solving Exercises

A Practice

See Problem 1.

5. Developing Proof Tell why the two triangles are congruent. Give the congruence statement. Then list all the other corresponding parts of the triangles that are congruent.

   

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

   Prove: A B ¯ ≅ C B ¯ eh b bar , approximately equal to . c b bar

   

See Problem 2.

7. Proof Given: O M ¯ ≅ E R ¯ , M E ¯ ≅ R O ¯ o m bar , approximately equal to . e r bar , comma . m e bar , approximately equal to . r o bar

   Prove: ∠ M ≅ ∠ R angle m approximately equal to . angle r

   

8. Developing Proof A balalaika is a stringed instrument. Prove that the bases of the balalaikas are congruent.

   Given: R A ¯ ≅ N Y ¯ , ∠ K R A ≅ ∠ J N Y , ∠ K A R ≅ ∠ J Y N r eh bar , approximately equal to . n y bar , comma . angle k r eh approximately equal to . angle j n y comma . angle k eh r approximately equal to . angle j y n

   Prove: K A ¯ ≅ J Y ¯ k eh bar , approximately equal to . j y bar

   Proof: It is given that two angles and the included side of one triangle are congruent to two angles and the included side of the other. So, a. _?_ ≅ Δ J N Y approximately equal to cap delta j n y  by b. _?_. K A ¯ ≅ J Y ¯ k eh bar , approximately equal to . j y bar  because c. __?__.

   

Table of Contents