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4.2 Congruence and Triangles. Prove two triangles congruence. Congruent triangles. Congruent triangles have congruent angles and sides. The angles and sides must correspond. Congruent corresponding sides and corresponding angles. Meaning AB = XY; BC = YZ; AC = XZ and .
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4.2 Congruence and Triangles Prove two triangles congruence
Congruent triangles Congruent triangles have congruent angles and sides. The angles and sides must correspond. Congruent corresponding sides and corresponding angles. Meaning AB = XY; BC = YZ; AC = XZ and
Name the congruent triangles Make sure the letters are in the appropriate order.
Figures can be congruent If the sides and angles of two figures correspond, then the two figures are congruent. NOLM ≈ YXWZ
Figures can be congruent If the sides and angles of two figures correspond, then the two figures are congruent. NOLM ≈ YXWZ
Which Triangles are congruent and why? All the sides and angles are congruent
Given: , O is the midpoint of MQ and PN Prove: #1. O is the midpt. of #1. Given MQ and PN
Given: , O is the midpoint of MQ and PN Prove: #1. O is the midpt. of #1. Given MQ and PN #2. MO = OQ; PO = NO
Given: , O is the midpoint of MQ and PN Prove: #1. O is the midpt. of #1. Given MQ and PN #2. MO = OQ; #2. Def. of midpoint PO = NO
Given: , O is the midpoint of MQ and PN Prove: #1. O is the midpt. of #1. Given MQ and PN #2. MO = OQ; #2. Def. of midpoint PO = NO #3.
Given: , O is the midpoint of MQ and PN Prove: #1. O is the midpt. of #1. Given MQ and PN #2. MO = OQ; #2. Def. of midpoint PO = NO #3. #3. Vert. angles ≈
Given: , O is the midpoint of MQ and PN Prove: #1. O is the midpt. of #1. Given MQ and PN #2. MO = OQ; #2. Def. of midpoint PO = NO #3. #3. Vert. angles ≈ #4.
Given: , O is the midpoint of MQ and PN Prove: #1. O is the midpt. of #1. Given MQ and PN #2. MO = OQ; #2. Def. of midpoint PO = NO #3. #3. Vert. angles ≈ #4. #4. Alt. Int. Angles ≈
Given: , O is the midpoint of MQ and PN Prove: #1. O is the midpt. of #1. Given MQ and PN #2. MO = OQ; #2. Def. of midpoint PO = NO #3. #3. Vert. angles ≈ #4. #4. Alt. Int. Angles ≈ #5.
Given: , O is the midpoint of MQ and PN Prove: #1. O is the midpt. of #1. Given MQ and PN #2. MO = OQ; #2. Def. of midpoint PO = NO #3. #3. Vert. angles ≈ #4. #4. Alt. Int. Angles ≈ #5. #5. All parts are congruent
Properties of congruent Triangles Reflexive Symmetric Transitive ( not substitution ) As any twin can tell you, even if they look alike does not make them the same person.
Homework Page 206 – 210 # 10 – 28 even, 39, 42 – 56 even
Homework Page 206 – 210 # 11 – 29 odd, 30 – 35, 57