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Marizza181 [45]
3 years ago
11

What set of Reflections and rotations could carry ABCD onto itself?​

Mathematics
2 answers:
Nitella [24]3 years ago
6 0

Reflect over y-axis,reflect over the X axis ,rotate 180°

Option D is the correct option.

<em>Expla</em><em>nation</em><em>:</em>

<em>Let's </em><em>take</em><em> </em><em>point</em><em> </em><em>A</em><em> </em><em>which </em><em>is</em><em> </em><em>(</em><em>4</em><em>,</em><em>-</em><em>1</em><em>)</em>

<em>Reflect</em><em>ion</em><em> </em><em>over</em><em> </em><em>y-</em><em> </em><em>axis </em><em>will</em><em> </em><em>make</em><em> </em><em>this</em><em> </em><em>point</em><em> </em><em>(</em><em>4</em><em>,</em><em>1</em><em>)</em>

<em>Then</em><em>,</em><em> </em><em>reflect</em><em>ion</em><em> </em><em>over</em><em> </em><em>X </em><em>axis</em><em> </em><em>will</em><em> </em><em>make</em><em> </em><em>this</em><em> </em><em>point </em><em>(</em><em>4</em><em>,</em><em>-</em><em>1</em><em>)</em>

<em>After</em><em> </em><em>rota</em><em>tion</em><em> </em><em>of</em><em> </em><em>1</em><em>8</em><em>0</em><em> </em><em>degree</em><em> </em><em>we</em><em> </em><em>will</em><em> </em><em>get</em><em> </em><em>(</em><em>-</em><em>4</em><em>,</em><em>1</em><em>)</em><em> </em><em>.</em>

<em>Please</em><em> </em><em>see</em><em> the</em><em> attached</em><em> picture</em><em>.</em><em>.</em><em>.</em><em>.</em>

<em>Hope</em><em> </em><em>it </em><em>helps</em><em>.</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>

AURORKA [14]3 years ago
4 0

Answer:  d) reflect over the x-axis, reflect over y-axis, rotate 180°

<u>Step-by-step explanation:</u>

A reflection over the x-axis and a reflection over the y-axis is the SAME as a rotation of 180°. Together they make a rotation of 360°, which results in the image staying at the same place.

Reflection over the x-axis changes the sign of the y-coordinate

Z = (x, y)    →    Z' = (x, -y)

Reflection over the y-axis changes the sign of the x-coordinate

Z' = (x, -y)    →    Z'' = (-x, -y)

Rotation of 180° changes the signs of both the x- and y-coordinates

Z'' = (-x, -y)   →     Z''' = (x, y)

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Peter leaves his house and walks 15 meters south, then turns east and walks another 15 meters. How far is he from his house? Rou
Varvara68 [4.7K]
When Peter does this, he is creating two sides of a right-angle triangle. The distance from his house to that point will be the hypotenuse of the triangle thus, to work out the length of the hypotenuse, we have to use Pythagoras Theorem! So:

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3 years ago
Select all the correct answers.
irina1246 [14]

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replacing the row with twice that row

replacing a row with the sum of that row and another row

swapping rows

Step-by-step explanation:

Gauss-Jordan Elimination is a matrix based way used to solve linear equations or to find inverse of a matrix.

The elimentary row(or column) operations that can be used are:

1. Swap any two rows(or colums)

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3. Multiply any row (or column) entirely by a non zero scalar as is done in replacing the row with twice the row, here scalar used = 2

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