Similar triangles

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Intros
Lessons
  1. What are similar triangles?
    - common angles
    - common ratios (scale factors)
  2. What is a scale factor?
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Examples
Lessons
  1. Determine if the triangles are similar.
    determine similar right triangles
  2. Which triangles are similar?
    Triangle Angles Sides
    Δ \DeltaABC \angleA =90°
    \angleB =45°
    \angleC =45°
    AB=12.5
    BC=17.7
    AC=12.5
    Δ \DeltaDEF \angleD =90°
    \angleE =45°
    \angleF =45°
    DE=10
    EF=14.2
    DF=10
    Δ \DeltaGHI \angleG =90°
    \angleH =60°
    \angleI =30°
    GH=13.8
    HI=27.6
    GI=23.9
    Δ \DeltaJKL \angleJ =90°
    \angleK =45°
    \angleL =45°
    JK=5
    KL=7.1
    JL=5
  3. Δ \DeltaABC and Δ \DeltaDEF are similar triangles. Calculate the missing side length.
    find missing side length for similar triangles
  4. A wood made ramp needs one supporting beam (y) for reinforcement. How long should the supporting beam be?
    how to find side lengths of similar triangles