Chapter 4 Congruent Triangles

Get Ready!

• Lesson 1-7 The Distance Formula

  Find the side lengths of Δ A B C . cap delta eh b c .

  1. A ( 3 , 1 ) , B ( − 1 , 1 ) , C ( − 1 , − 2 ) eh open 3 comma 1 close comma b open negative 1 comma 1 close comma c open negative 1 comma negative 2 close
  2. A ( − 3 , 2 ) , B ( − 3 , − 6 ) , C ( 8 , 6 ) eh open negative 3 comma 2 close comma b open negative 3 comma negative 6 close comma c open 8 comma 6 close
  3. A ( − 1 , − 2 ) , B ( 6 , 1 ) , C ( 2 , 5 ) eh open negative 1 comma negative 2 close comma b open 6 comma 1 close comma c open 2 comma 5 close

• Lesson 2-6 Proving Angles Congruent

  Draw a conclusion based on the information given.

  4. ∠ J angle j  is supplementary to ∠ K ; angle k semicolon

     ∠ L angle l  is supplementary to ∠ K . angle k .

  5. ∠ M angle m  is supplementary to ∠ N ; angle n semicolon

     ∠ M ≅ ∠ N . angle m approximately equal to angle n .

  6. ∠ 1 angle 1  is complementary to ∠ 2 . angle 2 .

     

  7. F A → ⊥ F C → ,   F B → ⊥ F D → f eh vector , up tack , f c vector , comma , f b vector , up tack , f d vector

     

• Lessons 3-2 and 3-5 Parallel Lines and the Triangle Angle-Sum Theorem

  What can you conclude about the angles in each diagram?

  8. 
  9. 
  10. 

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