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Problem 7

Graph each figure and the image under the given translation. \(\overline{A B}\) with endpoints \(A(-3,7)\) and \(B(-6,-6)\) translated 4 units to the right and down 2 units.

Problem 10

Graph each figure and the image under the given translation. quadrilateral \(P Q R S\) with vertices \(P(1,4), Q(-1,4), R(-2,-4),\) and \(S(2,-4)\) translated by \((x, y) \rightarrow(x-5, y+3)\).

Problem 16

Determine whether each regular polygon tessellates the plane. Explain. 23 -gon

Problem 16

Find the image of each polygon, given the vertices, after a dilation centered at the origin with a scale factor of \(2 .\) Then graph a dilation centered at the origin with a scale factor of \(\frac{1}{2}\) \(F(3,4), G(6,10), H(-3,5)\)

Problem 17

Determine whether each regular polygon tessellates the plane. Explain. \(36-\) gon

Problem 17

Find the image of each polygon, given the vertices, after a dilation centered at the origin with a scale factor of \(2 .\) Then graph a dilation centered at the origin with a scale factor of \(\frac{1}{2}\) \(X(1,-2), Y(4,-3), Z(6,-1)\)

Problem 17

Draw the rotation image of each triangle by reflecting the triangles in the given lines. State the coordinates of the rotation image and the angle of rotation. \(\triangle T U V\) with vertices \(T(0,4), U(2,3),\) and \(V(1,2),\) reflected in the \(y\) -axis and then the \(x\) -axis

Problem 18

Find the magnitude and direction of \(\overrightarrow{M N}\) for the given coordinates. \(M(8,1), N(2,5)\)

Problem 21

Determine whether a semi-regular tessellation can be created from each set of figures. Assume that each figure has side length of 1 unit. regular heptagons, squares, and equilateral triangles

Problem 22

A translation maps \(A(-4,3)\) onto \(A^{\prime} .\) Find the coordinates of point \(B^{\prime},\) the image of \(B(-1,-2),\) under the same translation for each set of coordinates. $$A^{\prime}(2,5)$$

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