Answer:
Option B. 1/2
Step-by-step explanation:
The smaller triangle is a dilation of the larger triangle with the center of dilation at (2, -1).
we have to calculate the scale factor of the dilation.
One point of the large triangle is (-4, -1). After dilation it has become (-1, -1) of the smaller one.
If we consider the x coordinates of the point x = -4 has reduced down to -1 therefore scale factor = side of small triangle/side of the large triangle = (2 + 1)/(2 + 4) = 3/6 = 1/2
Therefore Option B. 1/2 is the answer.
Answer:
substitute y = mx +b = (2/3)x -2
Step-by-step explanation:
slope intercert form looks like this
y = mx + b
m is the slope
b is the y intercept
The line intercepts the y at -2
To find slope, pick 2 points to find the slope
m = (y2 - y1)/(x2-x1)
i select point 1 (0,-2) and point 2 (3,0)
m = (0-(-2))/(3-0) = (2)/3
substitute y = mx +b = (2/3)x -2
Step-by-step explanation:
part A:
ABCD is transformed to obtain figure A′B′C′D′:
1) by reflection over x-axis, obtain the image :
A(-4,-4) B(-2,-2) C(-2, 1) D(-4, -1)
2) by translation T (7 0), obtain the image :
A'(3,-4) B'(5,-2) C'(5, 1) D'(3, -1)
part B:
the two figures are congruent.
the figures that transformed by reflection either or translation will obtain the images with the same shape and size (congruent)
