Select the coordinates A' and B' after dilation of the line segment AB with a scale factor of 2, centered at the origin where the endpoints are A(3, 7) and B (4,9).
A: A'(6,14) and B'(8,18)
B: A'(3/2, 7/2) and B' (2, 9/2)
C: A' (6,14) and B' (-4,3)
D: A' (-6, 3) and B' (8, 18)
D: A' (-6, 3) and B' (8, 18)
Select the coordinates A' and B' after dilation of the line segment AB with a scale factor of 1/3 (one third), centered at the origin where the endpoints are A(-6, 3) and B (-12, 9).
A: A' (-2,1) and B' (-12, 9)
B: A' (-2,1) and B' (-4,3)
C: A' (-6,3) and B' (-4,3)
D: A' (-18,9) and B' (-36,27)
B: A' (-2,1) and B' (-4,3)
Line AB contains point A(-4,1) and point B (-1,3). Find the coordinates of A' and B' after dilation with a scale factor of 2 with a center point of dilation at the origin.
A: A' (-5,-2) and B' (-2,6)
B: A' (-8,2) and B' (2,-6)
C: A' (8,-2) and B' (2,-6)
D: A' (-8,2) and B' (-2,6)
To find the coordinates of A' and B' after dilation, we need to multiply the coordinates of A and B by the scale factor of 2.
The coordinates of A' are (-4*2, 1*2) = (-8, 2).
The coordinates of B' are (-1*2, 3*2) = (-2, 6).
Therefore, the correct answer is option D: A' (-8,2) and B' (-2,6).
Line AB contains point A(1, 2) and point B (-2,-1). Find the coordinates of A' and B' after dilation with a scale factor of 5 with a center point of dilation at the origin.
A: A' (1,2) and B' (-10,-5)
B: A' (5,10) and B' (-2,-1)
C: A' (5,10) and B' (-10,-5)
D: A' (5,10) and B' (10,5)
To find the coordinates of A' and B' after dilation, we need to multiply the coordinates of A and B by the scale factor of 5.
The coordinates of A' are (1*5, 2*5) = (5, 10).
The coordinates of B' are (-2*5, -1*5) = (-10, -5).
Therefore, the correct answer is option C: A' (5,10) and B' (-10,-5).
Describe the dilation of triangle ABC, with a scale factor of 5 and a center point of dilation at the origin (0,0)
A: Triangle A'B'C' is 5 times as large as triangle ABC and is 5 times closer to the center point of dilation
B: Triangle A'B'C' is 5 times smaller than triangle ABC and is 5 times closer to the center point of dilation
C: Triangle A'B'C' is 5 times as large as triangle ABC and is 5 times as far from the center point of dilation
D: Triangle A'B'C' is 5 times smaller than triangle ABC and is 5 times as far from the center point of dilation
To describe the dilation of triangle ABC with a scale factor of 5 and a center point of dilation at the origin (0,0), we consider the properties of dilation.
A dilation with a scale factor greater than 1 increases the size of the object, while a scale factor between 0 and 1 decreases the size of the object. In this case, the scale factor is 5, which is greater than 1. So, triangle A'B'C' will be larger than triangle ABC.
Additionally, the distance between the center of dilation and each point on the object is multiplied by the scale factor. Since the center point of dilation is at the origin (0,0), the distances from the origin to each point on the object will be multiplied by the scale factor.
Combining these properties, we can conclude that triangle A'B'C' is 5 times as large as triangle ABC (option A) and is 5 times closer to the center point of dilation (option B). Therefore, the correct answer is option A: Triangle A'B'C' is 5 times as large as triangle ABC and is 5 times closer to the center point of dilation.
1 and last one is wrong their both
A 6’14 and B 8’18
And for the last one it’s
Triangle A'B'C' is 5 times as large as triangle ABC and is 5 times as far from the center point of dilation
Yw!