Answer:
B.
It is a statistic because the value describes a characteristic of a sample.
The figure which is rotated and translated correctly about the x-axis is figure a.
The graph of a function f is that the set of ordered pairs, where\f(x)=y. within the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
We have been given four graphs of a function and first function has coordinates (-5,7) (-2,6) (-7,4) (-4,1) and that we must identify correct reflected graph.
The coordinates of a pure reflected graph are going to be (4,7) (2,4) (5,1) (7,6) which are the coordinates of figure a which is in first quadrant.
Hence the proper reflected graph of function having coordinates (-5,7) (-2,6) (-7,4) (-4,1) is that the graph of coordinates (4,7) (2,4) (5,1) (7,6).
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Answers:
Figure a has been translated only (translated 9 units to the right)
Figure b has been reflected over the x axis
Figure c has been rotated and translated
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Explanation:
Pick on a point like (-7,4) and note how it moves 9 units to the right to get to (2,4). All points on the upper left figure follow this same translation rule. This rules in figure a.
Figure b is a result of reflecting over the x axis. The rule used is . The x coordinate stays the same while the y coordinate flips from positive to negative. So for example, (-7,4) flips to (-7,-4)
Figure c is a combination of rotating and translating the original figure. It looks like a 90 counterclockwise rotation has been applied followed by a translation. The actual translation and rotation rules used will depend on how you define the center of rotation.
Ο Α) π
B) 1.425
Oc) 50
OD) -4
Answer: It is an isometry.
The transformation is done over a line of reflection.
Step-by-step explanation:
A reflection is a transformation that flips a figure on the coordinate plane across a given line without changing the shape or size of the figure.
From the definition of reflection, the figure and its image are congruent ,thus it is an isometry.
It does not slides a plane or flips a plane and does not changes the size of the figure.
It is an isometry and the transformation is done over a line of reflection. Option (a) and option (c) is correct.
Further explanation:
Given:
The statements about reflection are as follows,
(a). It is an isometry.
(b). It slides a plane.
(c). The transformation is done over a line of reflection.
(d). It flips a plane about a fixed line.
(e). It changes the size of the figure being reflected.
Explanation:
Isometryis a mapping of space to another space so that the length between the points is same as the length in the original space. Translation and the rotation are the isometries of plane.
Reflection is a transformation. The preimage is just flipped along a line of reflection to get a new image.
It is an isometry and the transformation is done over a line of reflection.
Option (a) is correct.
Option (b) is not correct.
Option (c) is correct.
Option (d) is not correct.
Option (e) is not correct.
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Number System
Keywords: statements, true, reflection, isometry, slides, plane, transformation, done, over, line of reflection, flips, plane, fixed line, changes, the size, reflected, translation.