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nadya68 [22]
1 year ago
7

Graph the image of kite ABCD after a rotation 180° counterclockwise around the origin.

Mathematics
1 answer:
rewona [7]1 year ago
5 0

Solution:

Given a kite ABCD on a graphhh, with the coordinates given below

\begin{gathered} A(-8,-6) \\ B(-7,-2) \\ C(-1,-6) \\ D(-7,-10) \end{gathered}

If the kite is rotated 180° counterclockwise around the origin,

The rule for a rotation 180° counterclockwise around the origin is

(x,y)\rightarrow(-x,-y)

The coordinates of the kite after the rotation of 180° counterclockwise around the origin will be

\begin{gathered} A(-8,-6)\rightarrow A^{\prime}(8,6) \\ B^{\prime}(-7,-2)\rightarrow B^{\prime}^(7,2) \\ C(-1,-6)\rightarrow C^{\prime}(1,6) \\ D(-7,-10)\rightarrow D^{\prime}(7,10) \end{gathered}

The graph is shown below

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Answer:

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Step-by-step explanation:

1. The triangle inequality tells you the sum of any two sides of a triangle must exceed the length of the other side. (Some versions say, "must be not less than ..." rather than "must exceed.") In practice, this means two things:

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Here, we can use the latter fact to write the desired inequality. The difference of the given sides is 13 -4 = 9; their sum is 13 +4 = 17. The third side must lie between 9 and 17. If that side length is designated "s", then ...

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2. Same as (1) using different numbers.

  12 -7 < MN < 12 +7

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3. Side CD is congruent to itself, and side CA is shown congruent to side CB. This means the requirements of the Hinge Theorem are met. That theorem tells you the longer side is opposite the greater angle:

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Answer: Ix - 950°C I ≤ 250°.

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D = (1200°C - 700°C)/2 = 250°C.

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I1200°C - 950°CI = 250°C ≤ 250°C ---- true.

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Answer:

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