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## Grade 9 Hong Kong School Math Axioms, Theorems and Corollaries

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*Introduction to Euclid's Geometry* 2. Polynomials

2.3.2. Factorization by Grouping

2.4. Factor Theorem

2.5. Remainder Theorem

2.7. Square of Binomials

2.9. Evaluate Polynomials

3. Geometry

3.2. Angles and Lines

3.2.4. Angles Around a Point

3.3. Triangles

3.3.3. Congruence of Triangles

3.3.3.1. Congruence: Understand the Meaning

3.3.3.2. Criteria for Congruence of Triangles

3.3.4. Inequalities in a Triangle

3.5. Circles

3.5.1. Terms Related to Circles

6. Mensuration

6.1. Measurement of Areas

6.1.1. Measuring Areas of Triangles

6.1.2.1. Area of a Quadrilateral

6.1.2.2. Area of a Parallelogram

6.1.2.3. Area of a Rhombus

6.1.2.4. Area of a Trapezium

7.1. Statistics

7.1.3. Bar Graph

7.1.3.1. Drawing Bar Graphs

7.1.3.2. Interpreting Bar Graphs

7.1.4. Histogram

7.1.5. Frequency Polygons

7.1.7. Mean, Median, and Mode

7.1.7.1. Mean

7.1.7.1.1. Arithmetic Mean of Numerical Data

7.1.7.1.2. Word Problems on Mean

7.1.7.1.3. Mean for Ungrouped Frequency Distributions

7.1.7.1.3.1. Direct Method for Finding Mean

7.1.7.1.3.2. Assumed-Mean Method

7.1.7.1.3.3. Step-Deviation Method for Finding Mean

7.1.7.2. Median

7.1.7.2.1. Median of Numerical Data

7.1.7.2.2. Median of Discrete Series

7.1.7.3. Mode

7.1.7.3.1. Mode of Ungrouped Data

7.1.7.3.2. Empirical Formula for Calculating Mode