MODULE 6

• Discipline


  Good Taste<|>Excellence
• Writer: Daren V. Perez
• Cover Illustrator: Joel J. Estudillo
• Department of Education, National Capital Region, SCHOOLS DIVISION OFFICE, MARIKINA CITY
• MATHEMATICS, Quarter 3: Module 6, Illustrating Similar Figures
• Similar figures


  Figures that have the same shape
• Characteristics of similar figures

  • Corresponding angles are congruent
  • Corresponding sides are proportional
• Pairs of similar figures

  • I
  • II
  • III
• Scale factor


  The common ratio of the lengths of corresponding sides of similar figures
• Determining if figures are similar

  1. Check if corresponding angles are congruent

  2. Check if corresponding sides are proportional
• Similar figures


  • Squares
  • Triangles
  • Rectangles
• Two figures are said to be similar if they have the same shape
• Mathematically, two figures are similar if their corresponding angles are congruent, and the ratios of the lengths of their corresponding sides are equal
• The scale factor is true to all the rest of the corresponding sides of similar polygons because of the uniformity of the proportionality of their sides
• Information is clear and very well organized with each section in clear sequential order
• Information is organized and sections are identified with a good amount of clarity and sequencing
• The information is organized, but not entirely sequential or with clarity
• The information appears to be disorganized
• The floor plan was done very neat and easy to read
• The floor plan is generally neat and readable
• The floor plan was sloppy and difficult to read
• The floor plan was poorly created and difficult to read
• Common ratio of two similar figures

  Scale Factor
• Pairs of similar figures

  • I
  • II
  • III
• The symbol used to indicate similarity is ~
• The scale factor of similar figures in item 2 is 2/5
• The scale factor of the similar figures in item 4 is 4/3
• The similarity statement that is true among the triangles in item 5 is ∆DEF~∆MNO
• The scale factor of the similar figures in item 6 is 1/2
• The pair of figures in item 7 that has a scale factor of 2/3 is I, II and III
• The pair of similar figures in item 7 is I and III
• The scale factor of the similar figures in item 9 is 5:3
• The pair of similar figures in item 10 is ∆XYZ~∆QRS