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3 years ago

Tell me the Characteristics of a Reflection

Mathematics

2 answers:

Anna007 [38]3 years ago

6 0

Answer:

Reflection is when light bounces off an object. If the surface is smooth and shiny, like glass, water or polished metal, the light will reflect at the same angle as it hit the surface. This is called specular reflection. Light reflects from a smooth surface at the same angle as it hits the surface.

Hoochie [10]3 years ago

5 0

Answer:

Hi, There!

Part A: tell me the Characteristics of a Reflection

There are several important characteristics of a reflection:

A reflection maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle. Each piece of the original pre-image is exactly the same in the image.

A reflection preserves lengths of segments. The length of a line segment will be the same in a reflection.

A reflection preserves degrees of angles. The angles of the image are congruent to the angles in the pre-image.

Part B:

Rigid transformation: Moving a figure so that it is in a new location but has the same size, shape, and area. A mathematical reflection is a type of rigid transformation

Part C:

what is Line of reflection: The line over which a pre-image is reflected to create a new image

$llNightlyFlamell$

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A rectangle with an area of 5/8 ft^2 dilated by a factor of 8.

Lilit [14]

Answer:

Step-by-step explanation:

dilated by a factor 8 => the area of a rectangle would be (8x8) times of the origin,

5/8 × (8x8) = 5/8 × 64 = 40 ft²

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3 years ago

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right

KiRa [710]

Answer:

$3\sqrt{5}\ units$

Step-by-step explanation:

<u>Theorem 1:</u> The height of right triangle drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of the altitude is the geometric mean of these two segments. Hence,

$KM^2=ML\cdot MJ\\ \\6^2=ML\cdot 3\\ \\3ML=36\\ \\ML=12\ units$

<u>Theorem 2:</u> In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of each leg of the right triangle is the geometric mean of the lengths of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg.

Thus,

$KJ^2=MJ\cdot ML\\ \\KJ^2=3\cdot (3+12)\\ \\KJ^2=3\cdot 15\\ \\KJ^2=45\\ \\KJ=\sqrt{45}=3\sqrt{5}\ units$

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3 years ago

What is the standard form of the equation of the circle x^2 - 2x + y^2 - 8y + 8 = 0?

lesantik [10]

Answer:

Step-by-step explanation:

Begin by grouping the x terms and the y terms together and separating the constants out.

$(x^2-2x)+(y^2-8y)=-8$

Now we'll complete the square on those x and y terms. Take half the linear term of each, square it, and add it to both sides. Our linear x term is 2, half of 2 is 1 and 1 squared is 1, so we add that in. Likewise, half the linear y term (which is 8) is 4, and 4 squared is 16, so we add that in, too. Like this:

$(x^2-2x+1)+(y^2-8x+16)=-8+1+16$