A rectangle on the coordinate plane has vertices at (0,0), (3,0), (3,2), and (0,2). A dialation of the rectangle has vertices at
1 answer:
Answer: The scale factor is 3.
Step-by-step explanation:
1. You kwnow that original rectangle has the following coordinates in its vertices:
(0,0), (3,0), (3,2), and (0,2)
2. After dilation, the rectangle has vertices at (0,0), (9,0), (9,6), and (0,1). Therefore, you can calculate the scale factor as following:
Let's call the scale factor and let's choose one the coordinates of the original rectangle and the same coordinate after dilation:
Original vertex: (3,2) ; Vertex after dilation: (9,6)
Then:
The scale factor is 3.
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Answer:
The fourth point of the parallelogram is one point among (-2,2), (2,10) and (8,-12).
Step-by-step explanation:
Given information: The first three vertices of parallelogram are (0,6), (5, -1) and (3,-5).
Let fourth point of the parallelogram is (a,b).
Diagonals of a parallelogram bisect each other. It means midpoint of both diagonals are same.
Midpoint formula:
Case 1: If the point (0,6), (5, -1) and (3,-5) are consecutive, then pairs of opposite vertices are (0,6) and (3,-5), (5,-1) and (a,b).
On comparing both sides, we get
It means the fourth point of the parallelogram is (-2,2).
Case 2: If the point (0,6), (5, -1) and (3,-5) are not consecutive, then pairs of opposite vertices are (0,6) and (5,-1), (3,-5) and (a,b).
On comparing both sides, we get
It means the fourth point of the parallelogram is (2,10).
Case 3: If the point (0,6), (5, -1) and (3,-5) are not consecutive, then pairs of opposite vertices are (5,-1) and (3,-5), (0,6) and (a,b).
On comparing both sides, we get
It means the fourth point of the parallelogram is (8,-12).