1. Blue – 3/2/2015 Gold – 3/3/2015

2. Solve each equation. 1.x + 6 = 25 2.x+7+13=33 3.5x=540 4.x+10=2x 5.For the triangle at the right, use the triangle sum theorem to find the value of x. x= 19 x=13 x=180 x=10 40  x x=50 

3.  Snow day this past Friday, means we will be here April 3 rd.  Spring Break 16 th - 20 th  Today we will  Start Congruent figures  Theorem 4-1 - Congruent 3 rd angles  Proving triangles congruent

5.  If two geometric figures have exactly the same shape and size, they are congruent.  In two congruent polygons, all of the parts of one polygon are congruent to the corresponding parts or matching parts of the other polygon. These corresponding parts include…  corresponding angles and corresponding sides.

6. CongruentNot congruent A B C D E F

7. Corresponding Angles Corresponding sides AB C R S T AB RS BC ST AC RT

9. Corresponding angles  A ≅  P  B ≅  Q  C ≅  R Corresponding Sides AB ≅ PQ BC ≅ QR CA ≅ RP A B C Q P R

10. The phrase “if and only if” in the congruent polygon definition means that both the conditional and its converse are true. So, if two polygons are congruent, then their corresponding parts are congruent. For triangles, Corresponding parts of congruent triangles are congruent, or CPCTC. CP CTC

11.  Δ TJD = Δ RCF - List the corresponding parts: T J D R C F Corresponding Angles:  T ≅  J ≅  D ≅ Corresponding Sides: TJ ≅ JD ≅ TD ≅ R C F RC CF RF

12.  Decide whether the triangles are congruent. Justify your answer. 3 3 4 4 A B C D E AC ≅ EC Given AB ≅ ED AB=3=ED BC ≅ DC BC=4=DC  A ≅  E Given  B ≅  D All right angles are congruent.  BCA ≅  DCE Vertical angles are congruent. NOTE: #7 on WS is the exact same format.

13.  If any two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.  If  A ≅  D and  B ≅  E, then  C ≅  F.

14. Write a two-column proof. Prove:ΔLMN  ΔPON 2.  LNM   PNO 2. Vertical Angles Theorem StatementsReasons 3.  M   O 3. Third Angles Theorem 4.ΔLMN  ΔPON 4. CPCTC 1. Given 1.

15. Find the missing information in the following proof. Prove:ΔQNP  ΔOPN ReasonsStatements 3.  Q   O,  NPQ   PNO 3. Given 5. Definition of Congruent Polygons 5. ΔQNP  ΔOPN 4. _________________ 4.  QNP   ONP ? 2. 2. Reflexive Property of Congruence 1. 1. Given Third angle theorem