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Download Geometry 1 4.1 Apply Triangle Sum Properties (page 217) Objective
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Transcript
Geometry 4.1 Apply Triangle Sum Properties Objective: (page 217) Classify triangles and find the measures of their angles Vocabulary Triangle Vertex Adjacent sides Right Triangle Legs Hypotenuse Isosceles Triangle Legs Base Interior Angles Exterior Angles Classification by Sides Exterior Angles Isosceles Scalene Classification by Angles Acute Right Obtuse Equiangular Theorems Theorem 4.1 – Triangle Sum Theorem Theorem 4.2 – Exterior Angle Theorem Corollary to the Triangle Sum Theorem Classroom Problems ***Problems from Practice Workbook 4.1 1 Geometry 2 Geometry 3 Geometry 4.2 Apply Congruence and Triangles Objective: (page 225) Identify congruent figures Vocabulary Congruent Triangles Corresponding Sides Corresponding Angles Theorems Theorem 4.3 – Third Angles Theorem Theorem 4.4 – Properties of Congruent Triangles Classroom Problems ***Problems from Practice Workbook 4.2 1. Identify all pairs of congruent corresponding sides and corresponding angles. AMT CDN 4 Geometry 5 Geometry 4.3 Prove Triangles Congruent by SSS (page 234) Objective: Use side lengths to prove triangles are congruent Postulates Postulate 19 – Side-Side-Side (SSS) Congruence Postulate Classroom Problems ***Problems from Practice Workbook 4.3 6 Geometry 7 Geometry 4.4 Prove Triangles Congruent by SAS and HL (page 240) Objective: Use Sides and Angles to prove triangles congruent Postulates and Theorems Postulate 20 – Side-Angle-Side (SAS) Congruence Postulate Theorem 4.5 – Hypotenuse-Leg (HL) Congruence Theorem Classroom Problems 1) Given: BD bisects ABC , AB BC Prove: ABD CBD ***Problems from Practice Workbook 4.4 8 Geometry 9 Geometry 10 Geometry 4.5 Prove Triangles Congruent by ASA and AAS Objective: (page 249) Use Sides and Angles to prove triangles congruent Postulates and Theorems Postulate 21 – Angle-Side-Angle (ASA) Congruence Postulate Theorem 4.6 – Angle-Angle-Side (AAS) Congruence Theorem Classroom Problems ***Problems from Practice Workbook 4.5 11 Geometry 12 Geometry 18. Write a proof. Different from workbook Given: B D, DAE BEA Prove: ABE EDA 13 Geometry 4.6 Use Congruent Triangles Objective: (page 256) Use congruent triangles to prove corresponding parts congruent Vocabulary CPCTC – Corresponding Parts of Congruent Triangles are Congruent Classroom Problems ***Problems from Practice Workbook 4.6 1. 4. BC AD KHN MGT 2. 5. TSU VSU BD BE 3. 6. ABD CBD BC AT 14 Geometry 7. Prove: DAB BCD 8. Prove: ST RQ 11. Complete the Proof Given: YX WX ZX bisects Prove: YZ WZ YXW 15 Geometry 16 Geometry 4.7 Use Isosceles and Equilateral Triangles Objective: (page 264) Use theorems about isosceles and equilateral triangles Vocabulary Base Angles Vertex Angle Theorems Theorem 4.7 – Base Angle Theorem Theorem 4.8 – Converse to the Base Angle Theorem Corollary to the Base Angle Theorem Corollary to the Converse of the Base Angle Theorem Classroom Problems ***Problems from Practice Workbook 4.7 17 Geometry 18 Geometry 19
