MEDIUM
Earn 100
Construct the graph of the triangle after a dilation with a scale factor of , centered at the origin.
Important Questions on Similarity, Right Triangles, and Trigonometry
MEDIUM
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
Select the figure from among the given options that can replace the question mark (?) in the following series
EASY
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
Flipped along their horizontal axis , how many of them would look the same
EASY
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
The following question consists of two sets of figures. There is a definite relationship between the first set of figures. Establish a similar relationship between the second set of figures by selecting a suitable figure from the options.
MEDIUM
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
Give the order of rotational symmetry for each of the following figures when rotated about the marked point (x):
MEDIUM
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
HARD
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
MEDIUM
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
Describe the transformation that have occurred in the diagram:
MEDIUM
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
Give the order of rotational symmetry for each of the following figures when rotated about the marked point (x):
MEDIUM
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
Graph the image of the triangle after a dilation with a scale factor of , centered at the origin.
MEDIUM
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
| Shape | Centre of Rotation | Order of Rotation | Angle of Rotation |
| Square | _____ | _____ | _____ |
MEDIUM
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
Does the following figure have rotational symmetry of order more than ?
EASY
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
MEDIUM
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
Can we have a rotational symmetry of order more than whose angle of rotation is ?
MEDIUM
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
MEDIUM
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
Describe the transformation that has been performed in the diagram and express it using correct arrow notation.
MEDIUM
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
Graph the image of the quadrilateral after a dilation with a scale factor of , centered at the origin.
HARD
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
MEDIUM
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
Give the order of rotational symmetry for the figure:
MEDIUM
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
MEDIUM
Mathematics>Geometry - III>Similarity, Right Triangles, and Trigonometry>Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor
Plot the image of the shape on a Cartesian grid:
Rotation anticlockwise about the origin
