Identify a line that the rectangle could be reflected over to result in a rectangle that has the same vertices as the original.

Identify A Line That The Rectangle Could Be Reflected Over To Result In A Rectangle That Has The Same

Answers

Answer 1

Answer:

The correct option is;

y = 6

Step-by-step explanation:

The reflection of the figure of a preimage over a line of symmetry will form an image that the same coordinates as the preimage.

The line of symmetry is a line or axis that goes through the geometric figure's center and outlines the division of the the figure into two identical, symmetrical parts

The appearance of the figure on one side of the line of symmetry is a reflection of the image on the other side of the line of symmetry

In the figure included in the question, given that the shape of the figure is a rectangle the line of symmetry will be a line passing through the midpoint of a chosen side and parallel to the side adjacent to the chosen side

Therefore, the lines of symmetry are x = 4.5 and y = 6. Therefore, the most correct of the given options is y = 6.

Answer 2

   Option A will represent the line of reflection.

 A rectangle has two pairs of vertices. If one pair reflects over a line in such a way that it replaces the other pair, line is said to be the line of reflection.

If the pair of points A,B replaces the other pair C,D, line of reflection will be y = 6.

Similarly, the pair of vertices A,C replaces other pair B,D, line of reflection will be x = 4.5.

   Therefore, line given in Option A will represent the line of reflection.

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Identify A Line That The Rectangle Could Be Reflected Over To Result In A Rectangle That Has The Same

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Step-by-step explanation:

Quadratic Equations

The standard representation of a quadratic function is:

[tex]f(x)=ax^2+bx+c[/tex]

where a,b, and c are constants.

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Step-by-step explanation:

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Step-by-step explanation:

b) Since XB = XC, triangle BXC is therefore an isosceles triangle.

Angle XBC = Angle XCB

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Answers

Answer: Solve   2y-5x-30  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

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Step-by-step explanation:

Answer:

x = 3, y = 15

Step-by-step explanation:

Given the 2 equations

y + 5x = 30 → (1)

2y = 5x + 15 → (2)

Subtract 5x from both sides in (1)

y = 30 - 5x → (3)

Substitute y = 30 - 5x into (2)

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60 - 15x = 15 ( subtract 60 from both sides )

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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