Shown here are the three essential steps in a proof of the Pythagorean Theorem. Why is the color blue kept the same in all three
steps?
A) because the blue areas remain constant in size
B) because the blue areas are converted to squares
C) because blue is used on the edges of the squares
D) because the blue regions are rearranged to form triangles
A) because the blue areas remain constant in size
B) because the blue areas are converted to squares
C) because blue is used on the edges of the squares
D) because the blue regions are rearranged to form triangles
1 answer:
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The coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.
<h3>What is a transformation?</h3>A transformation can be defined as the movement of a point on a cartesian coordinate from its original (initial) position to a new location.
<h3>The types of transformation.</h3>In Geometry, there are different types of transformation and these include the following:
- Dilation
- Reflection
- Rotation
- Translation
Based on the information provided, triangle UVW would be rotated counterclockwise through an angle of 270 degree at origin to produce triangle U'V'W', we have:
Therefore, the image of triangle UVW would be given by this matrix:
Image =
Based on the image above, we can logically deduce that the coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.
Read more on transformations here: brainly.com/question/12518192
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Answer:
<h2>Check out the image.</h2>Step-by-step explanation:
Let, the equation of the straight line is y = mx + c; where m is the slope of the equation and c is the constant.
The line has the slope 1.
Hence, the equation becomes y = x + c.
Since, the line passes through (-6, -2), -2 = -6 + c or, c = 4.
Hence, the equation of the straight line becomes y = x + 4.
Putting x = 0, we get, y = 4.
The line passes through (0, 4).
