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Magazine Problem 2
In Exercises 1 and 2 a translation \(T\) is described. For each: a. Graph \(\triangle A B C\) and its image \(\triangle A^{\prime} B^{\prime} C^{\prime} .\) Is \(\triangle A B C \cong \triangle A^{\prime} B^{\prime} C^{\prime} ?\) b. In color, draw arrows from \(A\) to \(A^{\prime}, B\) to \(B^{\prime},\) and \(C\) to \(C^{\prime}\) c. Are your arrows the same length? Are they parallel? $$\begin{aligned} &T:(x, y) \rightarrow(x-3, y-6)\\\ &A(3,6), B(-3,6), C(-1,-2) \end{aligned}$$
Problem 6
The image of \(P(-1,5)\) under a translation is \(P^{\prime}(5,7) .\) What is the preimage of \(P ?\)
Problem 6
Which capital letters of the alphabet have two lines of symmetry?
Problem 7
Which capital letters of the alphabet have a point of symmetry?
Problem 13
Tell which of the following properties are invariant under the given transformation. a. distance b. angle measure c. area d. orientation The composite of a reflection and a dilation
Problem 14
Tell which of the following properties are invariant under the given transformation. a. distance b. angle measure c. area d. orientation The composite of two reflections
Problem 14
When the word HIDE is reflected in a horizontal line, the image is still HIDE. Can you think of other words that are unchanged when reflected in a horizontal line?
Problem 14
A dilation with the origin, \(O,\) as center maps the given point to the image point named. Find the scale factor of the dilation. Is the dilation an expansion or a contraction? $$(-6,2) \rightarrow(18,-6)$$
Problem 15
Draw a triangle and a line \(m\) such that \(R_{m}\) maps the triangle to itself. What kind of triangle did you use?
Problem 15
Which of the following properties are invariant under any dilation? a. distance b. angle measure c. area d. orientation
