3-5 Proportions & Similar Figures - PowerPoint PPT Presentation

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  1. 3-5 Proportions & Similar Figures

  2. Similar figures ~ The symbol meaning similar is a single squiggle 6th grade definition • same shape • different size 8th grade definition • corresponding angles are congruent • corresponding sides are proportional

  3. Corresponding means matching. Don’t trust “what it looks like”. You can tell which angles & sides are corresponding by the naming standard. ABCD ~ PQRS means quadrilateral ABCD is similar to quadrilateral PQRS AND the corresponding angles are: A & P, B & Q, C & R, D & S

  4. Corresponding means matching. Don’t trust “what it looks like”. You can tell which angles & sides are corresponding by the naming standard. ABCD ~ PQRS means quadrilateral ABCD is similar to quadrilateral PQRS AND the corresponding sides are: AB & PQ, BC & QR, CD & RS, DA & SP

  5. Since the corresponding sides are proportional, if you know 2 figures are similar, you can find “missing sides”, as long as you have some information about the figures. See example 1 on pg. 150