Learning Module: Mathematics (Grade 9 - Quarter 3)

Lesson 1 - Parallelogram 

• Identify quadrilateral that are parallelogram, trapezoid and kite
• Determines the conditions that guarantee a quadrilateral is a parallelogram.
• Use properties to find measures of angles, sides and other quantities involving parallelograms
• Prove theorems on different kinds of parallelograms.

Lesson 2 - Trapezoid and Kites

• Prove theorems on trapezoids and kites
• Describe special trapezoid and their properties
• Demonstrate uses of quadrilaterals in real life.
• Solve problems involving parallelograms, trapezoids and kites.

Lesson 3 - Triangle Similarity

• Describes a proportion.
• Applies the fundamental theorems of proportionality to solve problems involving proportions
• Illustrates similarity of figures.
• Proves the conditions for similarity of triangles

        a. SAS Similarity Theorem
        b. SSS Similarity Theorem
        c. AA Similarity Theorem
        d. Right Triangle Similarity Theorem

Lesson 4 - Special Right Triangle

• Illustrates Special Right Triangle Theorem.
• Applies the theorems to show that give triangles are similar.
• Proves the Pythagorean Theorem.
• Solves problems that involve triangles similarity and right triangles.