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Transcript

L1: Exploring Triangles A triangle is a 2D shape which has 3 sides and 3 ___________ angles. We can name triangles by the number of equal sides An equilateral triangle: - has 3 equal sides - 3 angles which are all 60 degrees - 3 lines of symmetry Eg: An isosceles triangle: - has 2 equal sides - has 2 equal angles - has 1 line of symmetry Eg: A Scalene triangle: -has no equal sides -has no equal angles -has no line of symmetry Eg: Textbook: Page 201-204 Questions: 1-10 L2: Naming and Sorting Triangles by Angles Remember: All angles in a triangle add up to 180 degree’s - An acute triangle has all angles less than 90 degree’s Eg: - A right triangle has ONE 90 degree angle Eg: - An obtuse triangle has ONE angle greater than 90 degree’s Eg: Textbook: Pg: 207-208 Questions: 1-8 L3 Drawing Triangles You can use a ruler and a protractor to construct a triangle Ex: Construct triangle ABC with the measures Line BC = 3 cm Angle B = 80 degrees Line BA= 2.5 cm Step 1: Draw side AB ___________ B C Step 2: Measure an 80 degree angle at point A ___________ B C Step 3 Draw side AC make it 2.5 cm Step 4 Join C to B Textbook Page: 211-213 Questions: 1-9 L4: Investigating Polygons Regular Polygon: that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Irregular Polygon: A polygon that does not have all sides equal and all angles equal. Convex Polygon has all angles less than 180 degrees Concave Polygon has at least one angle greater than 180 degrees Textbook: 216-218 Questions 1-9 L5 Perimeters of Polygons Perimeter= is the total distance around an object We can find the perimeter of any polygon by adding the side lengths Perimeter = s+s+s+s+s+s =5+3+6+2+3+3 = 22 Two formula to find the perimeter of some polygons 1- For a Regular Polygon all sides are equal so we can multiply. Ex: P=4XS P=4X5 P = 20 m 2- For a Parallelogram we have two sets of equal side lengths (this works for a rectangle as well) Ex: P = 2 X (l+s) P = 2 X (2 +5) P=2X7 P= 14 in Textbook: Page 229-230 Questions 1-3, 5-7, 9 L6 Congruence in Regular Polygons Congruent: means equal (exact) to the sign is There are 2 ways to show that polygons are congruent Option 1: Place one polygon on top of the other, if they match exactly they are congruent. Option 2: Compare the side and angle measures. If all sides are equal and all angles are equal, the polygon are congruent. Ex: 2 cm 2 cm Textbook: Page: 222-223 Questions: 1-3, 5, 7 L7 Area of a Rectangle Area: is the amount of surface a shape or region covers. We measure area in square units. Ex: Formula: Area = l X w Example: Symbolically: Area = l X w Area = 4 X 2 Area = 8 cm2 Pictorially: 2cm 4cm 1 2 3 4 5 6 7 8 2cm 4cm Area = 8 cm2 Textbook: Pg 233 Questions: 1-4, 6, 10