Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle...
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Transcript of Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle...
![Page 1: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/1.jpg)
Triangle Congruencies
![Page 2: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/2.jpg)
For each pair of triangles, tell:a) Are they congruentb) Write the triangle congruency statementc) Give the postulate that makes them
congruent.
![Page 3: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/3.jpg)
For each pair of triangles, tell:a) Are they congruentb) Write the triangle congruency statementc) Give the postulate that makes them
congruent.
![Page 4: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/4.jpg)
For each pair of triangles, tell:a) Are they congruentb) Write the triangle congruency statementc) Give the postulate that makes them
congruent.
![Page 5: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/5.jpg)
For each pair of triangles, tell:a) Are they congruentb) Write the triangle congruency statementc) Give the postulate that makes them
congruent.
![Page 6: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/6.jpg)
For each pair of triangles, tell:a) Are they congruentb) Write the triangle congruency statementc) Give the postulate that makes them
congruent.
![Page 7: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/7.jpg)
For each pair of triangles, tell:a) Are they congruentb) Write the triangle congruency statementc) Give the postulate that makes them
congruent.
![Page 8: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/8.jpg)
Using the given postulate, tell which parts of the pair of triangles should be shown congruent.
![Page 9: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/9.jpg)
Using the given postulate, tell which parts of the pair of triangles should be shown congruent.
![Page 10: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/10.jpg)
Using the given postulate, tell which parts of the pair of triangles should be shown congruent.
![Page 11: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/11.jpg)
Algebraic Problems 1
![Page 12: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/12.jpg)
Algebraic Problems 2
![Page 13: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/13.jpg)
Algebraic Problems 3
![Page 14: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/14.jpg)
Algebraic Problems 4
![Page 15: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/15.jpg)
Algebraic Problems 5
Solve for x in the isosceles triangle.
![Page 16: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/16.jpg)
ON A PIECE OF PAPER TO BE HANDED IN, write the proof, including the Given, the Prove, the diagram and your tw0-column proof. You may use your notes. These will be graded on accuracy.
![Page 17: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/17.jpg)
1.
STATEMENTS REASONS1. AD‖BC 1. Given2. EAD and ECB are alternate interior angles. 2. Definition of Alternate Interior Angles3. EAD≅ECB 3. Alt. Int. s Theorem4. AED and BEC are vertical angles. 4. Definition of Vertical s5. AED≅BEC 5. Vertical s Theorem6. AD ≅ CB 6. Given7. ΔAED ≅ ΔCEB 7. AAS ≅You could also use EBC and EDA as alternate interior angles.
![Page 18: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/18.jpg)
2.
STATEMENTS REASONS1.MJ ≅ ML 1. Given2. L ≅ J 2. Base Angles Thm3. JMK ≅ LMK 3. Given4. JM ≅ LM 4. Given5. ΔJKM ≅ ΔLKM 5. ASA ≅Another version on the next slide…
![Page 19: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/19.jpg)
2.
STATEMENTS REASONS1. KM ⟘ JL 1. Given2.JKM and LKM are right angles. 2. ⟘ lines form right
s3. ΔJKM and ΔLKM are right Δs. 3. Def. of Right Δs4. JM ≅ LM (hypotenuse) 4. Given5. KM ≅ KM (leg) 5. Reflexive POC6. ΔJKM ≅ ΔLKM 5. HL ≅
Another version on the next slide…
![Page 20: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/20.jpg)
2.
STATEMENTS REASONS1. KM ⟘ JL 1. Given2.JKM and LKM are right angles. 2. ⟘ lines form right
s3.JKM ≅ LKM 3. All right s are ≅.4.JMK ≅ LMK 4. Given5. JM ≅ LM 5. Given6. ΔJKM ≅ ΔLKM 6. AAS ≅
Another version on the next slide…
![Page 21: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/21.jpg)
2.
STATEMENTS REASONS1. KM ≅ KM 1. Reflexive POC2. JM ≅ LM 2. Given3.JMK ≅ LMK 3. Given4. ΔJKM ≅ ΔLKM 4. SAS ≅
If you can think of another way, let me know!
![Page 22: Triangle Congruencies. For each pair of triangles, tell: a) Are they congruent b) Write the triangle congruency statement c) Give the postulate that makes.](https://reader033.fdocuments.in/reader033/viewer/2022061614/5697bfdb1a28abf838cb0aeb/html5/thumbnails/22.jpg)
3.
You don’t know the hypotenuses are congruent, so you can’t use HL ≅.
STATEMENTS REASONS1. B is the midpoint of DC. 1. Given2. DB ≅ BC 2. Definition of Midpoint3. AB ≅ AB 3. Given4. AB ⟘ DC 4. Given5. ABD and ABC are right s.5. Definition of ⟘ lines.6. ABD ≅ ABC 6. All right s are congruent.7. ΔABD ≅ ΔABC 7. SAS ≅