4THQ REVIEWER WA2

• Common quadrilaterals


  • Parallelogram
  • Trapezoid
  • Kite
• A polygon having four sides, four angles, and four vertices
• The sum of interior angles of a quadrilateral is always 360°
• Quadrilateral: S = 180 (n – 2), S = 180 (4 – 2), S = 180 (2), S = 360
• Angles can either be adjacent or opposite
• Observe: Quad ABCD
• Do you see: 1. pairs of congruent sides from the figure? NO, 2. pairs of parallel sides from the figure?
• Draw a quadrilateral with TWO PAIRS OF PARALLEL SIDES
• Take Note: the parallel sides are also congruent
• Draw a quadrilateral with ONLY ONE PAIR OF PARALLEL SIDES
• A quadrilateral with two pairs of parallel sides
• A quadrilateral with only one pair of parallel sides
• A quadrilateral is a polygon having four sides, four angles, and four vertices
• QUADRI


  Four
• LATUS


  Side
• Where can we see quadrilaterals?
• You can find a summary of quadrilaterals and their properties on page 212 of your Geometry Textbook
• These quadrilaterals will be further discussed in the next coming lessons
• GeoGebra applets are also available in your GOOGLE CLASSROOM
• Diagonals of quadrilateral FORK


  • 𝐾𝑂
  • 𝐹𝑅
• Diagonals of quadrilateral RAYM

  • 𝐴𝑀
  • 𝑅𝑌
• Congruent Sides of quadrilateral RAYM

  • 𝑅𝐴
  • 𝐴𝑌
  • 𝑅𝑀
  • 𝑌𝑀
• Adjacent Angles of quadrilateral RAYM


  • ∠�� and ∠𝑨
  • ∠�� and ∠𝑴
  • ∠�� and ∠𝒀
  • ∠�� and ∠𝑹
• Opposite Angles of quadrilateral RAYM


  • ∠𝑹 and ∠𝒀
  • ∠𝑨 and ∠𝑴
• Adjacent Angles of quadrilateral FORK


  • ∠𝑭 and ∠𝑶
  • ∠𝑶 and ∠𝑹
  • ∠𝑹 and ∠𝑲
  • ∠𝑲 and ∠𝑭
• Opposite Angles of quadrilateral FORK


  • ∠𝑭 and ∠𝑹
  • ∠𝑲 and ∠𝑶
• Parallel Sides of quadrilateral FORK


  • 𝐹𝑂 and 𝐾𝑅
• Parallel Sides of quadrilateral RAYM


  • No information provided
• Properties of different kinds of parallelograms

  • General Parallelogram: two pairs of opposite sides that are parallel and congruent, opposite angles that are congruent, adjacent angles that are supplementary, diagonals bisecting each other
  • Rhombus: All sides are congruent, opposite angles that are congruent, adjacent angles that are supplementary, diagonals are perpendicular and bisect each other
  • Rectangle: two pairs of opposite sides that are congruent, all angles are right (90°), diagonals are congruent and bisect each other
  • Square: All sides are congruent, all angles are right (90°), diagonals are congruent, perpendicular, and bisect each other
• A Square is always a Rectangle and a Rhombus but not vice versa
• Learning objectives


  Identify the properties of different kinds of parallelograms, determine the similarities and differences of each kind of parallelogram, manifest openness and willingness to collaborate with others
• Complete the tree diagram: Rectangle, Parallelogram, General Parallelogram, Rhombus, Square
• Homework: Solve for the areas of the following figures
• GL = 6cm and OF = 14cm
• Quadrilateral with two pairs of parallel sides

  • Parallelogram
  • Rhombus
  • Square
  • Rectangle
• Types of parallelograms


  • Parallelogram
  • Rhombus
  • Square
  • Rectangle
• HOMEWORK


  Solve for the areas of the following figures
• Composite Figures are figures made up of several different basic shapes or polygons to create a more beautiful, complex one
• Strategy 1


  Investigate the given composite figure. Afterwards, find a way to solve for its total area
• Strategy 2


  Investigate the given composite figure. Afterwards, find a way to solve for its total area