Contents: 1. Mathematics 9: Quarter 3- Module 1: Conditions that Make a Quadrilateral a Parallelogram. 2. Mathematics 9: Quarter 3- Module 2: Using Properties to Find the Measures of Angles, Sides and Other Quantities Involving Parallelograms. 3. Mathematics 9: Quarter 3- Module 3: Proving Theorems On The Different Kinds Of Parallelogram. 4. Mathematics 9: Quarter 3- Module 4: Proving Theorems On The Different Kinds Of Parallelogram. 5.Mathematics 9: Quarter 3- Module 5: Proving Theorems On the Different Kinds of Parallelogram (Rectangle, Rhombus, Square). 6. Mathematics 9: Quarter 3- Module 6: Midline, Trapezoid and Kite. 7. Mathematics 9: Quarter 3- Module 7: Trapezoids and Kite. 8. Mathematics 9: Quarter 3- Module 8: Problems Involving Parallelograms, Trapezoids and Kites. 9. Mathematics 9: Quarter 3- Module 9: Describe a Proportion. 10. Mathematics 9: Quarter 3- Module 10: Apply the Fundamental Theorems of Proportionality to Solve Problems Involving Proportion. 11. Mathematics 9: Quarter 3- Module 11: Conditions for Proving Triangles Similar. Mathematics 9: Quarter 3- Module 12: Right Triangle Similarity Theorems. 13. Mathematics 9: Quarter 3- Module 13: Proving Conditions for Special Right Triangles. 14.Mathematics 9: Quarter 3- Module 14: Applying Triangle Similarity Theorems. 15.Mathematics 9: Quarter 3- Module 15: The Pythagorean Theorem. Mathematics 9: Quarter 3- Module 16: Solving Problems in Triangle Similarity and Right Triangles.
Objective
1. Determine the conditions that make a quadrilateral a parallelogram.
2. Use properties to find measures of angles, sides and other quantities involving parallelograms.
3. Prove theorems on different kinds of parallelogram (Rectangle).
4. Prove theorems on different kinds of parallelogram (Rhombus).
5. Prove theorems on different kinds of parallelogram.
6. Prove theorems on midlines.
7. Solve problems involving problems.
8. Prove theorems on Trapezoid and kite.
9. Solve problems involving Trapezoid and kite.
10. Solve problems involving parallelograms, trapezoids and kites.
11. Describe a proportion, and solve problems involving ratio and proportion.
12. Apply the fundamental theorem of proportionality to solve problems involving proportion.
13. Prove the conditions for similarity of triangles.
14. Solve problems and prove statements by means of the AA Similarity Postulate, SAS Similarity Theorem and SSS Similarity Theorem.
15. Prove the conditions for similarity of right triangles.
16. Prove the conditions for special right triangles.
17. Apply the theorems to show that given triangles are similar.
18. Prove the conditions for similarity of right triangles.
19. Solve problems that involve triangle similarity and right triangles.
Curriculum Information
Education Type
K to 12
Grade Level
Grade 9
Learning Area
Mathematics
Content/Topic
Geometry
Intended Users
Educators, Learners
Competencies
Determines the conditions that make a quadrilateral a parallelogram
Proves the midline theorem
Applies the fundamental theorems of proportionality to solve problems involving proportions
Applies the theorems to show that given triangles are similar
Proves the pythagorean theorem
