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#6,7,8,9*SD Test next Thursday. 9/24 (change)
Math CC7/8 Be PreparedFundraiser Keep selling!Summarize/Discuss
last nights HWSD Lesson 3.2 Begin HW?Tasks for Today
Last nights HW!
Summarize lesson 3.1 show example tableLets 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 wont create a unique triangle, but some such
combinations will.AAA wont 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)
Use labsheet 3.2BDraw 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.SSSSASSASSAS
Use labsheet 3.2BYou need to give either 2 sides and the
included angle, or 2 angles and the side.Angles = 30, 125, 25
degreesSides = 1.25, 1.25, and 2.5 inchesDraw 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.SASASASASASA
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.
