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3 years ago

Identify the transformation that maps the figure onto itself.

Mathematics

2 answers:

jasenka [17]3 years ago

7 0

The answer for this letter is c

11Alexandr11 [23.1K]3 years ago

3 0

Answer:

The correct option is C.

Step-by-step explanation:

From the given figure it is clear that the vertices of the parallelogram are (0,0), (0,-6), (4,-8) and (4,-2).

If a figure rotated 180° about (a,b), then

$(x,y)\rightarrow (2a-x,2b-y)$

If the figure rotated 180° about (2,-4), then

$(x,y)\rightarrow (2(2)-x,2(-4)-y)$

$(x,y)\rightarrow (4-x,-8-y)$

So, the vertices of image after rotated 180° about (2,-4) are

$(0,0)\rightarrow (4,-8)$

$(0,-6)\rightarrow (4,-2)$

$(4,-8)\rightarrow (0,0)$

$(4,-2)\rightarrow (0,-6)$

The vertices of image are same as vertices of preimage. So, 180° rotation about (2,-4) maps the figure onto itself.

Therefore the correct option is C.

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Galina-37 [17]

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<img src="https://tex.z-dn.net/?f=z%20%7B%7D%5E%7B%20-%204%7D%20y%20%7B%7D%5E%7B%20-%202%7D%20z%20%7B%7D%5E%7B4%7D%20" id="TexFo

natka813 [3]

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2 years ago

What is 64 mi/hr=? Ft/s please work out so I can see a example

Arlecino [84]

$64\ \frac{mile}{hour}=x\frac{feet}{second}\\\\
Converting\ unites:\\
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3 years ago

Which of the following is the graph of the inequality y< -2x + 3?

zaharov [31]

Answer:

look at the photo

Step-by-step explanation:

Since the inequality is already written in y=mx+b, you can easily graph the line. +3 is the y intercept, so one point would be (0,3). -2 resembles the slope, so diagonally to the left, you would go up 2 and across 1. Also, since the sign is "<" you would graph with a dotted line. Then to know which side to shade, I always use the coordinate (0,0). I plug in 0 for both x and y to see if (0,0) satisfies the inequality. In this case it does, so you would shade on the side where (0,0) is located.

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3 years ago