Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
Given the vertices of triangle ABC:
A(2, 5), B(-3, 3), C(2, -1)
Let's dilate the triangle ABC by a scale factor of 2 with a center of dilation of (2, 3)
Here, since we have a scale factor, k, of 2 and center of dilation (2, 3), apply the formula:
(x', y') = k(x - a)+a, k(y - b)+ b
Where:
(a, b) is the center of dilation: (2, 3)
(x, y) is the coordinate
(x' y') is the new coordinate
k is the sale factor = 2
Thus, we have the following:
A(2, 5) ==> 2(2 - 2)+2, 2(5 - 3)+3 ==> 2(0)+2, 2(2)+3 ==> (2, 9)
B(-3, 3) ==> 2(-3 - 2)+2, 2(3 - 3)+3 ==> 2(-5)+2, 2(0)+3 ==> (-8, 3)
C(2, -1) ==> 2(2 - 2)+2, 2(-1 - 3)+3 ==> 2(0)+2, 2(-4)+3 ==> (2, -5)
Therefore, the vertices of triangle ABC after the dilation are:
A'(2, 9), B'(-8, 3), C'(2, -5)
ANSWER:
A'(2, 9), B'(-8, 3), C'(2, -5)
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.
