Geometry Geometer’s Sketchpad Lab Activity Students:_________________________ _____________________________________ Section 3.2 1) Open File “Worksheet GS 3.2”. Remember to “deselect” before each procedure. 2) Select points A, B, C and choose “Measure>Angle” to display the measure What is: m ABC = ? ___________ Repeat this procedure to display the measure of these angles, record the measures: m DEF=____________, m CBD=_________,m MHJ=________, m JKF=_________ 3) choose point L and drag the point until the lines j and k appear parallel. a) What do you notice about m ABC and m DEF ? _______________________ b) If line m is the transversal of lines j and k, what type of angle pair are ABC and DEF ? _________________________ c) If you haven’t already, drag point L until m ABC = m DEF (or as close as you can). d) What kind of angle pair are CBD and DEF ? ________________________. e) What is m CBD + DEF =? ___________________________ (Note: you can use the Measure>Calculate menu, or compute by hand) 4) Choose point G and drag until lines m and n appear parallel. a) What do you notice about m CBD and m GHC? _____________________ b) If line j is the transversal of lines m and n, what type of angle pair are CBD and GHC?_____________________ c) Try to drag point G until m CBD and m GHC. 5) Sketch your final drawing. What type of figure have you created? _______________________________ 6) State the converse of the Corresponding Angles Postulate. _____________________________________________________________________________________________ ____________________________________________________________________________________________ Do you believe it’s true? Why? __________________________________________________