Mathematics, 21.12.2020 19:10 Gwapecwupcakes
Unit 3 Lesson 8 Cumulative Practice Problems
1. This is an invalid proof that all isosceles triangles are similar. Explain which step is
invalid and why.
1. Draw 2 isosceles triangles ABC and DEF where AC = BC and DF = EF.
2. Dilate triangle ABC to a new triangle A'B'C using center C and scale factor de so
that A'C = B'C = DF = EF.
3. Translate by directed line segment CF to take A'B'C to a new triangle A"B" F.
Since translation preserves distance, A" F = A'C= DF and B" F = BC = EF.
4. Since A" F = DF, we can rotate using center F to take A" to D.
5. Since B" F = EF, we can rotate using center F to take B" to E.
6. We have now established a sequence of dilations, translations, and rotations that
takes A to D, B to E, and C to F, so the triangles are similar.
Answers: 3
Mathematics, 21.06.2019 19:30
Look at this pattern ; 1,4,9, number 10000 belongs in this pattern . whatβs the place of this number?
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Find the distance between c and d on the number line c=3 and d=11
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Mathematics, 21.06.2019 23:20
For which pairs of functions is (fβ’g)(x)=12x? f(x)=3-4x and g(x)=16x-3 f(x)=6x2 and g(x)= 2/x f(x)= and g(x) = 144x f(x)=4x and g(x) =3x
Answers: 1
Unit 3 Lesson 8 Cumulative Practice Problems
1. This is an invalid proof that all isosceles triangl...
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