Download 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)