Fundraiser – Keep selling! Math CC7/8 – Be Prepared On Desk: Pencil Math Journal Learning Log Learning Log: HW: p. 76 #6,7,8,9 *SD Test next Thursday. 9/24 (change) Fundraiser – Keep selling!
Tasks for Today Summarize/Discuss last night’s HW SD Lesson 3.2 Begin HW?
Last night’s HW!
Summarize lesson 3.1 – show example table Let’s share some examples….
If the sum of 2 proposed side lengths is less than or equal to the third side, no triangle can be constructed! In NO case can a given set of side lengths be used to make 2 different triangle shapes! Do make a triangle: (5, 12, 8), (16, 10, 7), (6, 3, 6) Do NOT make a triangle: (4, 9, 3), (12, 5, 19), (11, 5, 18)
Launch video 3.2
These SSA won’t create a unique triangle, but some such combinations will. AAA won’t make a congruent triangle, the side lengths may be different.(similar triangle) AAS will make a unique triangle because we know the third angle must be 180-106 degrees. (ASA situation)
Draw an equilateral triangle with sides 1 inch. Use labsheet 3.2B Draw an equilateral triangle with sides 1 inch. Draw an angle of 60 degrees and mark 2 sides of 1 inch on the legs of that angle. Then connect the end points. Draw a right triangle with legs 1 inch and 1.25 inches. Draw an angle of 90 degrees and mark sides of 1 in. and 1.25 in on the legs of that angle. Then connect the end points. SAS SSS SAS SAS
Use labsheet 3.2B You need to give either 2 sides and the included angle, or 2 angles and the side. Angles = 30, 125, 25 degrees Sides = 1.25, 1.25, and 2.5 inches Draw an isosceles triangle with vertex angle 40 degrees and equal sides 1.5 in long. Draw an isosceles triangle with base 1 in. long and base angles 70 degrees. SAS ASA SAS ASA
You need at least 3 sides and/or angle measurements, but not ANY three. Given SSS - there will only be one triangle. Given 2 angles and one side length (either the included side (ASA) or the nonincluded side (AAS)), there will be only ONE triangle.
All copies of the right triangle using the same 3 sides lengths will make the same triangle. The order in which you connect the sides does NOT matter. So, the copy will also be a right triangle.