That would be the inverse property of addition. When you add the
opposite of a number to that number, your sum will be zero. -a is the
opposite of a and -bi is the opposite of bi. When you add x + y (aka the
opposites) your total is absolutely nothing!
Answer:
A. The dilated line lies on the original line.
Step-by-step explanation:
Dilation changes sizes, but not slopes or angles. The dilated line is guaranteed to have the same slope as the original.
The center of dilation is "invariant" (doesn't move) as a result of the dilation. Here, the point (3, 0) is the center of dilation. It is the x-intercept of the original line, so will also be on the dilated line.
The dilated line has the same slope as the original and goes through a point that the original line goes through. Hence it lies on the original line.
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How do you do this question?
1. make use of the properties of dilation, as we have done above.
2. plot some points on the original line—(0, 3) and (3, 0) are the intercepts—apply the dilation, and see where the line goes. (You will find (0, 3) ⇒ (-6, 9), and (3, 0) ⇒ (3, 0). Both are on the original line.)
Answer:
Step-by-step explanation:
The interior angles of a triangle add to 180°:a + b + c = 180°
Angles c and d make a straight angle, which is 180°:d + c = 180°
So d + c equals a + b + c:d + c = a + b + c.
Subtract c from both sides:d = a + b.
Answer:
0
Step-by-step explanation:
180-180=0
counter clockwise