Geometry Angle Sum and Properties Exploration
Dive into the world of geometry with various diagrams and scenarios focusing on angle sums, concave and convex polygons, and angle measurements. Learn about properties of polygons and test your skills in identifying different shapes and their classifications based on their properties. Explore angles within polygons and find missing angles through interactive exercises.
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Presentation Transcript
A polygon is concave is it has at least one reflex interior angle. Mark the angle that shows each hexagon below is concave. Why is it not possible to have a concave triangle?
Sort each shape from A to I into the correct box according to its properties Polygon Not a polygon Convex Concave E F H D C G B I A
Sort each shape from A to I into the correct box according to its properties Polygon Not a polygon Convex Concave E C A B D G F H I
In the two hexagons below, one is concave and one is convex. What are your first impressions about the sum of the marked angles?
+ 20 steps forward 5 steps back + 7 steps forward They ve taken 32 steps. They re 22 steps further. 20 5 +7 = 22
The angle sum is 410o. + 60o 50o + There s a 360o turn around the polygon. + 80o + 110o 50o + 110o 60?+50?+110? 50?+110?+80?= 360?
My Turn Your Turn Find angle x 140o 62o 30o 124o x 73o
My Turn Your Turn Find angle x Find angle x 140o x 62o 30o 50o 124o 140o 160o x 73o
x 2) 3) 1) 50o 110o 120o x 5o 50o 70o 20o 60o x 50o 40o 60o 105o 20o 5o 25o 40o 5) 4) 15o x 43o 160o 66o x 100o 87o 39o 103o 168o 33o
x 2) 3) 1) 50o 123o 160o 110o 120o x 5o 50o 70o 20o 60o 60o x 50o 40o 60o 105o 20o 5o 25o 40o 5) 4) 117o 15o x 43o 160o 66o 61o x 100o 87o 39o 103o 168o 33o
75o 1) 2) 3) x 140o x 120o 55o 75o 110o x 45o 140o 80o x 6) 5) 80o 4) 110o 70o 68o x 80o 260o 71o 60o 85o 100o 76o x 140o 60o 100o
75o 1) 60o 2) 3) x 140o x 120o 50o 55o 80o 75o 110o x 45o 140o 80o x 6) 100o 5) 107o 80o 4) 110o 70o 68o x 80o 260o 71o 60o 85o 100o 76o x 140o 125o 60o 100o
x 8) 7) 150o 115o x x 82o 9) 126o 110o 108o 95o 95o 108o 140o 60o 85o 11) 10) 12) 130o 50o 100o x x x 135o 110o 130o
100o x 8) 50o 7) 150o 115o x x 82o 9) 55o 126o 110o 108o 95o 95o 108o 140o 60o 85o 11) 10) 12) 130o 50o 100o 100o x 140o x 40o x 135o 110o 130o
70o 70o 14) 75o 13) 130o x 66o 110o x 80o 65o 106o 65o 16) 35o 22o 15) 60o 110o 45o x 25o x 140o 108o 30o
70o 70o 14) 75o 13) 70o 130o x 55o 66o 110o x 80o 65o 106o 65o 16) 35o 22o 15) 60o 110o 64o 45o x 25o x 140o 108o 30o 105o
