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Transcript
Geometry Angle congruency Name: _______________________________ Block: ______________________ Date: ___________ 1. Below, using a straight edge, draw two intersecting lines that are not perpendicular. Name the angles 1,2,3,4 (going clockwise) 2. Measure the angles with a protractor: m<1= ______, m<2=______, m<3=______, m<4=_____ 3. Now draw another two intersecting lines, different from the above, that are also not perpendicular. Name the angles 5,6,7,8 (clockwise). 4. Measure the angles with a protractor: m<5= ______, m<6=______, m<7=______, m<8=_____ 5. What relationship do you see between the measures of angles 1,3 or angles 2,4 or angles 5,7 or angles 6,8? _______________________________________________________________ What appears to always be true? _____________________________________________ These angles are called Vertical angles. On your diagram from #1, Take two colors and shade in these congruent angles with the same color. 6. What relation do you see to be true about angles 1,2 or 3,4 or 5,6 or 7,8? Hint: What number do they add up to? __________________________________________________________________ What appears to always be true? ____________________________________________ These angles are called Supplementary Angles. On your diagram from #2 take two different shades of the same color(red orange, light orange) and shade in these supplementary angles. 7. In your own words define… Vertical angles- __________________________________________________________ Supplementary angles- _____________________________________________________ Geometry Angle congruency Supplementary Angle Theorem _____________________________________________________________________________________ _____________________________________________________________________________________ Complementary Angle Theorem 1. ______________________________________________________________________________ ______________________________________________________________________________ 2. ______________________________________________________________________________ ______________________________________________________________________________ 3. ______________________________________________________________________________ ______________________________________________________________________________ Draw a picture of the 4 types of angles: Vertical Angles Adjacent angles Complementary angles Supplementary angles
