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torisob [31]
2 years ago
13

Figure M and it’s congruent image, figure N, are graphed on the coordinate plane below.

Mathematics
1 answer:
mixer [17]2 years ago
7 0

The reflection over the line y = x - 3 will take figure M onto its congruent image, figure N.

<h3>What is geometric transformation?</h3>

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

As we can see in the graph there are two shapes are shown.

Figure M and Figure N

The sequence of transformations that will take figure M onto its congruent image, figure N is:

First, we need to draw a line that passes through (3, 0) and (0, -3)

The equation of the line is:

\rm y+3=\dfrac{\left(-3\right)}{-3}\left(x\right)

y + 3 = x

y = x - 3

The reflection over the above line will take figure M onto its congruent image, figure N.

Thus, the reflection over the line y = x - 3 will take figure M onto its congruent image, figure N.

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ1

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Alecsey [184]

Answer:

S is closest to B.

Step-by-step explanation:

Given a directed line segment from point A to B.

Point P divides the line A to B in a ratio 3:4.

Point Q divides the line A to B in a ratio 4:3.

Point R divides the line A to B in a ratio 2:5.

Point S divides the line A to B in a ratio 5:2.

To find:

The point which is closest to the point B.

Solution:

Here, to find the point closest to B we need to find the distances PB, QB, RB and SB.

We can see the sum of ratio 3:4, 4:3, 2:5 and 5:2 is 7.

Let the distance between A and B be 7 units.

Now, the distances can be found easily.

PB = \dfrac{4}{7}\times 7 = 4\ units

QB = \dfrac{3}{7}\times 7 = 3\ units

RB = \dfrac{5}{7}\times 7 = 5\ units

SB = \dfrac{2}{7}\times 7 = 2\ units

The point which has the minimum distance from point B, will be nearest to B.

We can clearly observe that SB is the minimum distance.

Therefore, <em>S is closest to B</em>.

4 0
2 years ago
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2. Maria has a garden that is 6 feet by 4 feet. What is the perimeter of Maria's garden?
Anton [14]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
The height of a cylinder is 8 centimeters. The circumference of the base of the cylinder is 14 pi. What is the measurement of th
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Step-by-step explanation:

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Eric invited 200 of his friends to his graduation party. 75% of those invited said yes. 15% said no. The rest said maybe. 10% of
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Answer:

145

Step-by-step explanation:

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20 x .4 = 8

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