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 transcript:

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

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

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.

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.

Indirect Measurement