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hammer [34]
3 years ago
8

Select the best answer to complete the sentence. A Rigid Motion or Isometry ______________________.

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0

Answer: A. preserves length, angle measures and distance between points

Rigid motions or isometries are any of the three transformations below

  • translation (aka shifting)
  • rotation
  • reflection

Any of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.

If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.

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Convert the angle 0= 100° to radians.<br> Express your answer exactly.<br> radians
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Antonio purchased adult and child tickets for the fair. Tickets cost $29.35 for each adult and $17.45 for each child. Let x repr
NARA [144]

Answer: B

Step-by-step explanation:

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What would be the steps for finding the equation for the function f(x) based on the graph (the blue line) and what would the equ
sattari [20]

Answer:

  f(x) = -2|x-2| +4

Step-by-step explanation:

<u>Step 1</u>: recognize this as an inverted, scaled, and translated absolute value function.

<u>Step 2</u>: identify the scale factor as 2, because each section has a "rise" of 2 for each "run" of 1. The scale factor is -2 because the function is inverted (reflected across the x-axis).

<u>Step 3</u>: identify the vertex* as (2, 4).

<u>Step 4</u>: Use the scale factor and translation information to make the transformation ...   (let abs(x) represent the absolute value function)

  f(x) = (scale factor)×abs(x -horizontal shift) + (vertical shift)

  f(x) = -2|x -2| +4

_____

* The vertex is an identifiable point on the graph of this function. Knowing how the vertex is translated tells you how the whole function is translated. In general, you want to use an identifiable point (a turning point, point of symmetry, extreme point, whatever) when you're trying to determine the translation. For some functions, like a line, there is no specific identifiable point, so determining any specific translation is difficult or impossible.

_____

<em>Comment on writing functions from graphs</em>

One of the reasons for studying different functions is so you can learn to recognize their shape, and associate a formula and certain properties with that shape.

_____

The attached graph shows the parent absolute value function in blue and the transformed function f(x) in red.

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3 years ago
Part C
Genrish500 [490]
<h3><u>Question</u></h3>

<em><u>What are the coordinates of the vertices of the rose garden after a translation two yards east and four yards south?</u></em>

Step-by-step explanation:

<em><u>Answer: The coordinates of the vertices of the original rose garden are A(3, 6), B(3, 3), C(4, 3), and D(4,</u></em>

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