ࡱ> fheO bjbjVV 4<<55'''''''\)'4%*Jo/o/o/o/222dffffffInfi'2j222f55o/o/Y00025o/'o/d02d00!0o/@V'B0P00YR$ Y0Y'0 22022222ffv2222222Y222222222 :  Proving Triangles are Congruent For each of the following, write a two-column proof. 1. Given:  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  Prove:  EMBED Equation.DSMT4  2. Given:  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Prove:  EMBED Equation.DSMT4  3. Given:  EMBED Equation.3  bisects  EMBED Equation.DSMT4   EMBED Equation.3  Prove: "ATL ( "ATS 4. Given:  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  Prove: EMBED Equation.DSMT4  5. Given: (B ( (C (A ( (O  EMBED Equation.DSMT4  Prove:  EMBED Equation.DSMT4  6. Given: X is the midpoint of  EMBED Equation.DSMT4  (A ( (I  EMBED Equation.DSMT4  Prove:  EMBED Equation.DSMT4  7. Given:  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Prove:  EMBED Equation.DSMT4  8. Given:  EMBED Equation.3   EMBED Equation.DSMT4  Prove: "PAT ( "PET 9. Given:  EMBED Equation.DSMT4 bisects (LAN  EMBED Equation.DSMT4  Prove:  EMBED Equation.DSMT4  10. Given: (KWL ( (ALW (AWL ( (WLK Prove: "KWL ( "ALW  Proofs with CPCTC For each of the following, write a two-column proof. 1. Given:  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Prove:  EMBED Equation.DSMT4  2. Given:  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Prove:  EMBED Equation.DSMT4  3. Given:  EMBED Equation.DSMT4  bisects  EMBED Equation.DSMT4   EMBED Equation.DSMT4  bisects  EMBED Equation.DSMT4  Prove:  EMBED Equation.3  4. Given: I is the midpoint of  EMBED Equation.DSMT4  I is the midpoint of  EMBED Equation.DSMT4  Prove:  EMBED Equation.DSMT4  5. Given:  EMBED Equation.3   EMBED Equation.3  bisects  EMBED Equation.3  Prove:  EMBED Equation.3  6. Given:  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Prove:  EMBED Equation.3  7. Given:  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Prove: R is the midpoint of  EMBED Equation.DSMT4  8. Given:  EMBED Equation.3   EMBED Equation.DSMT4  Prove: "TOP ( "ZAP 9. Given:  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Prove:  EMBED Equation.3  10. Given:  EMBED Equation.DSMT4   EMBED Equation.3  Prove:  EMBED Equation.3   Proving Triangle Theorems Complete a two-column proof for each of the following theorems. Third Angle Theorem: If two angles in one triangle are equal in measure to two angles of another triangle, then the third angle in each triangle is equal in measure to the third angle in the other triangle.  Given:  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Prove:  EMBED Equation.DSMT4   Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the two remote interior angles.  Prove:  EMBED Equation.DSMT4  Isosceles Triangle Theorem: If two sides of a triangle are congruent, then the angles opposite those sides are congruent.  Given:  EMBED Equation.DSMT4   EMBED Equation.DSMT4  is the median of  EMBED Equation.DSMT4  Prove:  EMBED Equation.DSMT4   Isosceles Triangle Converse: If two angles of a triangle are congruent, then the triangle is isosceles.  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