G.CO.9 Proving Vertical Angles

Rigid Transformations (or Motions) - Examples: rotation, reflection, or translation (turn, flip or slide)[br][br]After one or more of these transformations, shapes still have[b] the same size[/b],[b] area[/b],[b] angles [/b]and[b] line lengths.[/b]
View the next two Geogebra examples and complete the following.
Come up with two transformations from one vertical angle to its partner.
Transformation #1
A ____(insert angle measure)______ degree _____(insert transformation)_____ around vertex B, creates a pair of vertical angles.
Use your knowledge of rigid transformations to explain what you can conclude about the measurement of a pair of vertical angles.
Transformation #2
3. Following your investigation above complete the sentence frame below:
A _____(insert transformation)_____ across a line passing through the vertex, creates a pair of vertical angles.
A _____(insert transformation)_____ across a line passing through the vertex, creates a pair of vertical angles.
Use your knowledge of rigid transformations to explain what you can conclude about the measurement of a pair of vertical angles.
What do you notice about the measures of the RED angles and the BLUE angles? Why is this the case?
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