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Geometry
Triangles
• Triangle angle sum theorem: the sum of the angles in any triangle is 180°
• Triangle inequality theorem: the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Is this possible
• To draw a triangle with sides measuring 2cm, 3 cm, and 6 cm? (explain)
• To construct a triangle with angles measuring 30°, 50°, and 100°
Angles
• Adjacent angles: two angles that have a common side and a common vertex
• Vertical angles: two angles opposite one another when lines intersect. (vertical angles are congruent)
• Supplementary angles: two angles whose measures add to 180°
• Complementary angles: two angles whose measures add to 90°
Surface Area
• Surface area of a three dimensional figure is the sum of the areas of all of its surfaces.
• Find the area of each of the faces then add them to find the total.
• Independent practice p.34 ws.
Volume
• Volume of a three-dimensional figure is the number of cubic units that fit inside it.
• You can also use formulas to find volume.
• Practice p.38 and 39 ws.