PLEASE HELP IM VERY STUCK. :(
1 answer:
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Answer:
A)segment A"B"= AB / 2
Step-by-step explanation:
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A"B"?
coordinate plane with triangle ABC at A(-3, 3), B(1, -3), and C(-3, -3)
A)segment A"B"= AB / 2
B)segment AB = segment A"B"/ 2
C)segment AB / segment A"B"= 1/2
D)segment A"B" / segment AB = 2
A"B" = AB / 2
Because
1. translations do not change the lengths of segments, so (x+2, y+0) preserves the length of AB, i.e. mA'B' = mAB
2. Dilation causes the new segment to be transformed to a new length according to the old length * the scale factor of (1/2).
Therefore A"B" = (1/2)AB, or AB/2.
Answer:
y = 3x - 9
Step-by-step explanation:
1) First, find the slope of the line between the two points. Use the slope formula and substitute the x and y values of (0,-9) and (3,0) into the formula and simplify:
So, the slope is 3.
2) Look at all the options. All the equations are in slope-intercept form since they are in a format. Remember that
, or the coefficient of the x-term, is the slope.
, or the y-intercept, represents the y-intercept.
Knowing this, the answer must be . The number in place of
is 3, which is the slope we just calculated. Also, since we know that the line passes through (0, -9), that must be the y-intercept since all points on the y-axis have an x-value of 0.