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Indirect Measurement Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

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Presentation on theme: "Indirect Measurement Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson."— Presentation transcript:

1 Indirect Measurement Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson

2 Indirect Measurement Similar Triangles can be used to solve for inaccessible distances. To measure indirectly, ratio and proportion can be used.

3 Example: How do you measure the height of a flagpole? Indirect Measurement mirror Incoming angleOutgoing angle So which triangles are similar? MIRROR METHOD Triangles are similar by AA Similarity Postulate.

4 Indirect Measurement Shadow’s length is measurable. SHADOW METHOD Which triangles are similar? Why? Person’s height is measurable. Sun’s rays are parallel. Triangles are similar by AA Similarity Postulate.

5 Indirect Measurement

6

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