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Geometry Unit 3 Learning Log Triangles and Triangle Congruence Standards 2.0 Students write geometric proofs, including proofs by contradiction. 4.0 Students prove basic theorems involving congruence and similarity. 5.0 Students prove that triangles are congruent or similar, and they are able to use the concept of corresponding parts of congruent triangles. 6.0 Students know and are able to use the triangle inequality theorem. 7.0 Students prove and use theorems involving the properties of parallel lines cut by a transversal, the properties of quadrilaterals, and the properties of circles. 12.0 Students find and use measures of sides and of interior and exterior angles of triangles and polygons to classify figures and solve problems. 13.0 Students prove relationships between angles in polygons by using properties of complementary, supplementary, vertical, and exterior angles. # Learning Target CA STND HW 3A) Prove the triangle inequality theorem, and use it to make statements about the sides of triangles. 3B) Prove the triangle sum theorem and use it to prove the triangle exterior angle theorem. 3C) Use the triangle sum theorem and the exterior angle theorem to find the measures of missing angles. 3D) Prove and use relationships of angles in a triangle using complementary, supplementary, vertical, and exterior angles. 3E) . Classify a triangle as equilateral, isosceles, or scalene, and as acute, right or obtuse. 3F) Explain the meaning of the congruence of triangles, and identify corresponding parts of congruent triangles. 3G) Prove two triangles are congruent using the Side-Side-Side (SSS) postulate. 3H) Prove two triangles are congruent using the Side-Angle- Side (SAS) postulate. 3I) Prove two triangles are congruent using the Angle-Side- Angle (ASA) postulate. 3J) Prove two triangles are congruent using the Angle-Angle- Side (AAS) theorem. 3K) Prove two triangles are congruent using the Hypotenuse- Leg (HL) theorem. Assessments 6.0 2.0 12.0 13.0 12.0 4.0 5.0 5.0 5.0 5.0 5.0 3L) Use congruence theorems and CPCTC to prove results about triangles, and to find the measures of missing sides or angles. 3M) Identify the parts of an isosceles triangle, and prove the base angle theorem and its converse. Use it to find missing angles in an isosceles triangle. 5.0 3N) Prove the angle bisector theorem and perpendicular bisector theorem. 3o) Use a translation, reflection, and rotation to transform segments and angles throughout the plane. 5.0 12.0 22.0