A Problem Solving Approach to Mathematics for Elementary School Teachers (13th Edition)

Chapter 14

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By looking at alike inner to outer colour ... more

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; The lowest middle point of the shape L is ... more

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; Take the triangle .Draw the following shapes ... more

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The person should place the Object T at the right ... more

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; The person rotates the Object U in counter ... more

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The rotation is that maps to as the co-... more

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If the given equilateral triangle is translated ... more

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The image will be rotated at an angle of in the ... more

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A rotation is a type of transformation that turns ... more

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; Trace the line to be translated,  , and the ... more

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Write the coordinates of the vertices in the given... more

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; Draw the given quadrilateral and name its ... more

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; Half turn means to rotate any object or figure ... more

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; Draw the given figure and name the vertices of ... more

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The original line is in the opposite side of the ... more

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There are so many letters that appear same even ... more

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  ; The starting point of the animal N is the ... more

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; Draw a square named  and rotate it about by . ... more

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a.     Yes, turn symmetry is at the center where ... more

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 Regular hexagon ; Construct a circle with the ... more

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; Tessellation is defined as the filling of a ... more

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; The given figure is a horizontally flipped L. ... more

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A shape with a symmetry line only can tessellate a... more

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; A given number of figures can be arranged in ... more

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Yes, the given hexagon will tessellate a plane as ... more

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; Draw the given figure on a paper. ; Trace the ... more

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Write the coordinates of the vertices in the given... more

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; Draw the given quadrilateral and name its ... more

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; Half turn means to rotate any object or figure... more

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; Draw the given figure and name the vertices of ... more

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; Half turn means to rotate an image or an object... more

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No, because the half turn of the given word will ... more

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; Half turn means to rotate an image or an object... more

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; Draw a square .Rotate the square at an angle of... more

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; The letter of English alphabets has half turn ... more

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The circle and its image have the same radii. ; ... more

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When the given figure is translated by or , same ... more

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; To tessellate a plane, figures should not ... more

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; To tessellate a plane, figures should not ... more

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; To tessellate a plane, figures should not ... more

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Yes, the given figure will tessellate a plane by ... more

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; To tessellate a plane, the figures should not ... more

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No; to tessellate a plane, figures should not ... more

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Entire Proof Answer: Let the two non parallel and ... more

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; The half turn implies the rotation around some ... more

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; To find the required rotation, divide the ... more

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Use the concept of rotation by rotating by ... more

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A triangle forms a geometric figure by translation... more

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; Draw a diamond shaped pattern.Coordinates for ... more

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; Take an example of a flower with 4 large and 2 ... more

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Regular polygons with more than six sides cannot ... more

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Observe the following irregular polygon. ; The ... more

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 One of the patterns that is obtained by ... more

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The figures such as cuboids, triangular prisms, or... more

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The figures such as a square, a triangle, and any ... more

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; There are so many number of tessellations that ... more

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The pupilis right because on a grid, the ... more

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The term half turn itself means that the ... more

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Individual N is correct only in the case of the ... more

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Individual K is not correct as the centre of ... more

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An individual I is correct. The pattern matches ... more

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Yes,an instrument K forms a tessellation with ... more

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One can give an explanation about angles of  the ... more

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To the right of the umbrella: ; If Object T is ... more

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  A rotation of   in the anticlockwise direction ... more

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Person E found tessellations through the rotation ... more

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There are so many figures that can be formed using... more

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Consider two different quadrilaterals   The ... more

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  ; Some of the tessellations formed by regular ... more

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The figure is in the shape of a circle which is ... more

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The figure is rotated in the clockwise direction ... more

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; Draw the triangles   and . ; Triangle   seems ... more

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Entire Proof Answer: As angle formed by -axis and... more

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Entire Proof Answer: The given figure isThe angles... more

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Reflection changes the orientation of a figure. ; ... more

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The preimage and image must be at equal distances ... more

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; In reflection, a figure is reflected across a ... more

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Image of , that is, is as follows: ; Yes, ... more

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The images of the points which lie on the ... more

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If an object is reflected through a reflection ... more

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; Draw a line   as the reflecting line of ... more

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The reflection line   will be the perpendicular ... more

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Yes, Figure 1 can be transformed to each of the ... more

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; A reflection in a line   is a transformation ... more

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If a figure is reflected through a reflection line... more

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; A reflection in a line   is a transformation ... more

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; A reflection in a line is a transformation ... more

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Image of the point , after reflection, with ... more

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; When a line is reflected along the -axis, then ... more

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; A line of symmetry cuts a shape exactly into ... more

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 A line of reflection will be the perpendicular ... more

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The person should aim Object B at point toward ... more

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Draw a line of reflection by joining the midpoints... more

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Form a simplified figure on the basis of the given... more

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Use stencils repeatedly in order to design the ... more

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; Assume the design of a leaf as shown in the ... more

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No, a line should be there for the reflection of ... more

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No, a line should be there for the reflection of ... more

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The claim of a student is correct only if a given ... more

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Individual G is incorrect as the claim is only ... more

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Individual P is right as the line of reflection is... more

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No, the reflection lines are not always ... more

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New location of object C will be as follows.... more

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; Draw the pattern in the form of the given shape... more

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; The single digit numbers which have their own ... more

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; Assume that the point lies in the first ... more

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Rotation of any angle about the center of the ... more

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Construct a perpendicular line from to in the ... more

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The given figure is reflected about a vertical ... more

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On flipping, that is, reflecting the given figure ... more

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On rotating triangle 1 by about point , image of ... more

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Both the coordinates are changed when the triangle... more

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The reflection of   does not contain a right angle... more

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In dilation, the figure changes its size, but its ... more

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Ratio: Scale factor: ; On observing the given ... more

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Dilated image: ; Scale factor: Length of side : 2 ... more

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Coordinates of vertices are , , , and . ; From the... more

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; Dilation is a process to resize any object. The... more

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Scale factor: ; ; ; Label the given diagram. ; Let... more

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; Label the given diagram. ; Let the foot of the ... more

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The center of the dilation and the scale factor ... more

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Translation followed by dilation ; Translate ... more

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The set is a multiple of 3, that is, . ; The image... more

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 SF: ; ; ; Label the given diagram. ; , , , , and... more

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Apply dilation with scale factor 2 and use any ... more

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; Shift each vertex of   toward   by   of the ... more

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Scale Factor: 3; ;   ; Label the given figure as... more

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Scale factor: 2; ;   ; Draw the given figure in ... more

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Center of dilation: OriginScale factor:   ; Let   ... more

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Translation followed by dilation ; Let there be ... more

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; Assume   be the center of pattern.For a scale ... more

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The center of dilation will be the intersection of... more

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Center will remain same, scale factor will be . ; ... more

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No; Sides of the two objects P are not in ... more

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The image will be similar because both the -... more

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To obtain , first translate circle by slide arrow... more

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No. As scale factor tells the ratio of size of ... more

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There are some fields in which dilation is used ... more

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The figure which has both rotational and line ... more

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Not possible if the corresponding angle between ... more

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The student is correct that the image is a grid ... more

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Ratio is and the scale factor is 5.Vertices are... more

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; Label the given figure as shown in the image as... more

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Point   will be , point   and   will be the ... more

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Reflection with line   ; According to the property... more

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Entire proof Answer: Turn half of the triangle ... more

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Entire Proof Answer : Turn half the triangle from... more

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, which is an identity translation. ; Label the ... more

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; Show the path that is traced by the ball on the... more

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The measure of the interior angles of a regular ... more

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; Dilation is a transformation that produces an ... more

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Yes, the given condition is true for the given ... more

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Entire Proof Answer: Assess the case when point ... more

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Image of the given line must be a line parallel to... more

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