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Chapter 14 Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
- Apply the transformation T (x, y) = (0.8x − 0.6y, 0.6x + 0.8y) to the scalene triangle whose vertices are (0, 0), (5, 0), and (0, 10). What kind of isometry does T seem to be? Be as specific as you can, and provide numerical evidence for your conclusion.arrow_forwardGiven that S is the triangle with vertices (−5,5),(−5,−5), and (5,−5), determine whether the transformation T:S→R is one-to-one. T(u,v)=(2u−v,u)=(x,y)arrow_forwardSuppose NOL -> QRM is a reflection across the x-axis. If O(1, 9) what is the y coordinate of R?arrow_forward
- The rule for the glide reflection that maps △ABC with vertices A(–4, –2), B(–2, 6), and C(4, 4) to △A′B′C′ with vertices A′(–2, –2), B′(0, –10), and C′(6, –8) is T⟨a, b⟩ ∘ Rx-axis wherearrow_forwardUse the rule(x,y)→(3x,2y)to find the image for the preimage defined by the given points.Then determine whether the transformation is a rigid motion or a nonrigid motion Preimage a(3,5),b(5,3),c(2,2)arrow_forwardProve that the reflection along the line y = −x is equivalent to reflection along the y-axis followed by a counter-clockwise rotation by 90◦ .arrow_forward
- Find the image of the circle | z |^2= 4 under the transformation f(z) = iz + 1.arrow_forwardUse the rule (x, y) → (3x, 2y) to find the image for the preimage defined by thepoints. Determine whether the transformation is a rigid motion. 4. A(3, 5) , B(5, 3) , C(2, 2) How would I be able to work this step by step?arrow_forwardWhich two transformations of Figure WXYZ show that it is similar to Figure W’X’Y’Z’ ?arrow_forward
Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning