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olasank [31]
3 years ago
11

A line segment is sometimes/never/always similar to another line segment, because we can sometimes/never/always map one onto the

other using only dilations and rigid transformations.
Mathematics
2 answers:
iVinArrow [24]3 years ago
7 0

Answer: sometimes for both

Step-by-step explanation:

svetlana [45]3 years ago
6 0

Answer: "always" for both

A line segment is <u>always</u> similar to another line segment, because we can <u>always</u> map one onto the other using only dilations and rigid transformations.

==================================

Explanation:

A dilation is where we grow or shrink an object. In this case, it would be lengthening or shortening a line. We can dilate any line to get it to any desired length we want. Then to make sure it matches up perfectly with the other line, we can perform translations (aka shifting) and rotations.

In other words, if we have four points A,B,C,D then it is possible to use dilations and rigid transformations to map points A,B to points C,D. The first segment AB would map to segment CD.

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2 years ago
Stella graphs the equation y=1/3x – 2
faltersainse [42]

we have

y=\frac{1}{3}x-2

<u>Statements</u>

<u>case A)</u> The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

<u>case B)</u> The line passes through the origin.

The statement is False

Because the point (0,0) is not a solution of the equation

Verify

Substitute the value of x and y in the equation

0=\frac{1}{3}*0-2

0=-2 ------> is not true

the point (0,0) is not a solution

therefore

The line does not pass through the origin

<u>case C)</u> The line passes through the point  (0,-2)

The statement is True

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Verify

Substitute the value of x and y in the equation

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the point (0,-2) is a solution

therefore

The line passes through the point (0,-2)

<u>case D) </u>The slope of the line is 3

The statement is False

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<u>case E)</u> The y-intercept of the line is 2

The statement is False

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

find the value of y

y=\frac{1}{3}*0-2=-2

the y-intercept is equal to -2


5 0
3 years ago
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Take the point (10,5)
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