Section Quiz Lessons 12-1 Through 12-4

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1 Section Quiz Lessons - Through - hoose the best answer.. What is the image of (, ) when it is reflected across the line y x? (, ) (, ),, Use the figure for Exercises 7. The coordinates of the vertices are integers.. Which of the following capital letters is a reflection image of itself across a horizontal line? F M O G N J P. The endpoints of MN _ are M(, ) and N(, ). Which shows the endpoints of the segment after it is translated along the vector,? M(, ), N(, ) M(, ), N(, ) M(, ), N(, ) M(, ), N(, ). The vertices of PQR are P(, ), Q(, ), and R(, ). The triangle is translated along a vector. Which vector places the image of the triangle entirely in Quadrant II? F,, G, 7 J,. The point (, ) is rotated about the origin. What are the coordinates of its image? (, ) (, ) (, ) (, ). Which shows the image of after a rotation about the endpoint of the ray? F G J 7. JKL is rotated about the origin and then translated along the vector,. What are the coordinates of the final image of point L under this composition of transformations? (7, ) (, ) (7, ) (, ). JKL is translated along the vector, after it is reflected across the x-axis. What are the coordinates of the final image of point J under this composition of transformations? F (, ) (, ) G (, ) J (, ). JKL is translated so that the image of vertex K is K(, ). composition of reflections across the lines of which equations creates the same image? first y, then y first y, then y first y, then y first y, then y. The composition of two reflections across two intersecting lines is equivalent to which isometry? F rotation translation G glide rotation J reflection olt Geometry

2 Section Quiz Lessons - Through -7 hoose the best answer.. ow many lines of symmetry does a regular hexagon have?. What is the order and angle of rotational symmetry of a regular octagon? F ; ; G ; J ;. Which capital letter has exactly one line of symmetry? O S P T. Which shape NNOT be used to make a regular tessellation? F isosceles right triangle G rhombus trapezoid J regular pentagon. Which pair of regular polygons can be used to make a semiregular tessellation?. Which repeated transformation NNOT be used alone to tessellate a square in a frieze pattern? F rotation about a vertex G reflection translation J glide reflection 7. Using only glide reflections, which of the following can tessellate the plane? regular octagon isosceles trapezoid circle segment circle. What is the scale factor of a dilation centered at the origin that maps the point (, ) to the point (7.,.)? F G J Use the figure for Exercises. The coordinates of the vertices are integers.. PQR is enlarged under a dilation centered at the origin with scale factor.. What is the area of the image in square units? units units units 7. units. What are the coordinates of point P after a dilation with a scale factor of? F (7, ) (, ) G (, ) J (.7,.). The graph of y is a line of symmetry for QRS. What are the coordinates of point S? (, ) (, ) (, ) (, ) olt Geometry

3 hapter Test Form ircle the best answer.. What are the coordinates of the image of (, ) when the point is reflected across the line y? (, ) (, ) (, ) (, ). house and a barn are on the same side of a driveway. Two walkways are planned to connect the buildings to a point P on the driveway. On a grid, the house would be at (, ), the barn would be at (, ), and the driveway would be located along the x-axis. Where should point P be located to make the length of the walkways as short as possible? F (, ) G (, ) (, ) J (, ). The point P(, ) is translated along a vector that is parallel to the line y x. The translation vector has a magnitude of. Which is NOT a possible image of point P? (, ) (, ) (, ) Not here. Given the function y x, which is the equation of the image when the graph is translated units up? F y x G y x y (x ) J y (x ). The Ferris wheel has a radius of feet. If a car at point E(, ) moves to point F, what are the approximate coordinates of the car s location after the rotation? (,.) (., ) (,.) Not here. Which mapping represents a rotation of 7 clockwise about the origin? F (x, y) (x, y) G (x, y) (x, y) (x, y) (y, x) J (x, y) (y, x) 7. The point P(, ) is rotated about the origin, and then the image is reflected across the line x. What are the coordinates of the final image P? (, ) (, ) (, ) (, ). figure to the left of the line x is reflected across the line x, and then its image is reflected across the line x. What is the slope and magnitude of the equivalent translation vector? F ; G ; undefined; J undefined; olt Geometry

4 . figure in the coordinate plane is reflected across the line y x and then across the line y x. What is the translation vector that describes the composition of the reflections?,,,,. Which graph has the y-axis as a line of symmetry? F f(x) x G f(x) (x ) f(x) x J f(x) x. Which type of quadrilateral can have order- rotational symmetry but no line symmetry? parallelogram rectangle rhombus square. Which figure NNOT be used to tessellate three-dimensional space? F G hapter Test Form continued. Which pair of regular polygons NNOT be used to make a semiregular tessellation? octagon and square hexagon and triangle hexagon and square square and triangle. RST is the image of a triangle under a dilation centered at the origin with a scale factor of. Which point is a vertex of the preimage of RST for this dilation? F (, ) G (, ) (, ) J (, ). Rectangle KLMN is transformed by a dilation centered at the origin with a scale factor of.7. What is the perimeter of the image? J Not here units units units units olt Geometry

5 Select the best answer.. The table shows the number of books two students read each month. Which matrix displays the data in the table? Number of ooks Read per Month Student Jan. Feb. Mar. pr. Fred Terrie. If evaluate. F G 7. If 7 evaluate. Quiz Section 7 and J and,, 7. For S and T, what are the dimensions of ST? F G J ST does not exist.. If P evaluate PQ.. If F and Q, evaluate., G J 7. If is defined by the matrix P, what are the coordinates of after it has been reflected using the reflection matrix?. has vertices,,,, and,. What are the coordinates of the image of after it has been rotated using the rotation matrix F,,,,, G,,,,,,,,,, J,,,,,? olt lgebra