1St Quarter Geometry Key Concepts

1st/3rd Quarter Geometry Key Concepts By Jenny Paden, [email protected]

1. Name, indentify, draw, and apply facts about points, lines, segments, rays, and planes. (1-1) 2. Use length and midpoints of a segment. (1-2) 3. Measure and construct angles and angle bisectors. (1-3) 4. Identify adjacent, vertical, complementary, and supplementary angles. (1-4) 5. Find measures of pairs of angles. (1-4) 6. Apply formulas for perimeter, area, and circumference. (1-5) 7. Use distance formula to find distance between two points. (1-6) 8. Use and apply the midpoint formula. (1-6) 9. Identify parallel, perpendicular, and skew lines. (3-1) 10.Identify the angles formed by two lines and a transversal. (3-2) 11.Prove and use theorems about the angles formed by parallel lines and a transversal. (3-2) 12.Prove and apply theorems about perpendicular lines including perpendicular bisector. (3-4) 13.Classify triangles by their angle measures and side lengths. (4-1) 14.Use triangle classification to find measures and side lengths. (4-1) 15.Find the measure of interior and exterior angles of triangles. Apply theorems about the interior and exterior angles of triangles. (4-2) 16.Use properties of congruent triangles (4-3) 17.Determine triangle congruence using SSS, SAS, AAS, ASA, and HL (4-3 and 4-4) 18. Use CPCTC to prove parts of triangles are congruent. (4-5) 19.Apply properties of isosceles and equilateral triangles. (4-8) 20.Review properties of equality and use them to write algebraic proofs. (2.5) 21.Identify geometric properties of equality. (2-5) 22.Write geometric proofs for triangle congruence. (Proofs) 23. Apply theorems about perpendicular bisectors and angle bisectors (5-1) 24. Apply properties of perpendicular and angle bisectors of triangles (5-2) 25. Apply properties of medians and altitudes of a triangle (5-3) 2nd/4th Quarter Geometry Key Concepts, by Jenny Padden [email protected]

1. Prove and use properties of triangle midsegments. (5-4) 2. Apply inequalities in one triangle. (5-5) 3. Apply inequalities in two triangles. (5-6) 4. Simplify radicals (Algebra Review) 5. Add, subtract, multiply, and divide radicals (Algebra Review) 6. Use the Pythagorean Theorem and its converse to solve problems. (5-7) 7. Use Pythagorean inequalities to classify triangles. (5-7) 8. Apply properties of Special Right Triangles (5-8) 9. Classify polygons based on their sides and angles. (6-1) 10. Find measures of interior and exterior angles of a polygon. (6-1) 11. Prove and apply properties of parallelograms. (6-2) 12. Prove that a given a quadrilateral is a parallelogram. (6-3) 13. Prove and apply properties of rectangles, rhombuses, and squares (6-4) 14. Use properties of kites and trapezoids to solve problems. (6-6) 15. Write and simplify ratios as well as use proportions to solve problems. (7-1) 16. Identify similar polygons and apply properties of similar polygons (7-2) 17. Prove certain triangles are similar by using AA, SSS, SAS (7-3) 18. Use properties of similar triangles to find segment lengths (7-4) 19. Use ratios to make indirect measurements (7-5) 20. Find sine, cosine, and tangent of an acute angle in a right triangle (8-2) 21. Use sine, cosine, and tangent of the side lengths of a triangle. (8-2) 22. Solve problems involving angles of elevation and angles of depression (8-4) 23. Identify tangent, secants, and chords (11-1) 24. Use properties of tangents to solve problems (11-1) 25. Apply properties of arcs and chords (11-2) 26. Find the measure of and inscribed angle. Use inscribed angles and their properties to solve problems. (11-4) 27. Angles relationships: Find the measures of angles formed by lines that intersect circles. (11-5) 28. Find the lengths of segments formed by lines that intersect circles. (11-6) 29. Write the equation of a circle. (11-7) 30. Find the area, perimeter, and circumference of a circle, trapezoid, parallelogram, rectangle, rhombus, and triangle. (Chpt. 9 and 1-5)