Describe the sequence of transformations from Quadrilateral WXYZ to W”X”Y”Z”.
The picture is a coordinate plane with
W= (-8,8)
X= (-2,8)
Y= (-2,4)
Z= (-8,4)
W”= (2,-10)
X”= (8,-10)
Y”= (8,-6)
Z”= (2,-6)
I don’t get coordinate planes I’ve tried to get them for years, please help me. Thank you
Is it rotate 180 degrees then (x-10) (y+10)
Sure, I'd be happy to help you understand coordinate planes and the sequence of transformations from Quadrilateral WXYZ to W”X”Y”Z”.
First, let's understand coordinate planes. A coordinate plane is a grid formed by two number lines intersecting each other at a right angle. The horizontal number line is called the x-axis, and the vertical number line is called the y-axis. Each point on the plane is represented by an ordered pair (x, y), where x represents the position on the x-axis and y represents the position on the y-axis.
Now, let's move on to the sequence of transformations from Quadrilateral WXYZ to W”X”Y”Z”.
1. Translation: The first transformation is a translation, which means shifting the quadrilateral without changing its shape or size. From the given information, we can see that W has been translated 10 units to the right and 18 units down to W”. Similarly, X has been translated 10 units to the right and 18 units down to X”. Y has been translated 10 units to the right and 14 units down to Y”, and Z has been translated 10 units to the right and 14 units down to Z”.
2. Reflection: The second transformation is a reflection, which means flipping the quadrilateral across a line of reflection. Based on the given information, it is not clear whether a reflection has been applied or not. If a reflection is applied, it would be important to know the line of reflection to provide a complete answer.
Since the given information does not mention a reflection, we can assume that no reflection has been applied in this transformation sequence.
To summarize, the sequence of transformations from Quadrilateral WXYZ to W”X”Y”Z” involves a translation in which all four vertices have been shifted 10 units to the right and 14-18 units down.
Sure! I'd be happy to explain coordinate planes to you.
A coordinate plane is a two-dimensional grid that helps us locate points in space using a system of coordinates. It consists of two perpendicular number lines called the x-axis and y-axis. The point where these two axes intersect is called the origin, denoted as (0,0).
To understand the sequence of transformations from Quadrilateral WXYZ to W”X”Y”Z”, let's break it down step by step:
1. Translation:
A translation is a transformation that slides an object from one location to another without changing its size, shape, or orientation. In this case, the points are translated to new coordinates.
The new coordinates of W, X, Y, and Z after translation are:
- W”(2,-2)
- X”(8,-2)
- Y”(8,-6)
- Z”(2,-6)
2. Reflection:
A reflection is a transformation that "flips" an object over a line, called the line of reflection. In this case, the object is reflected across the x-axis.
The new coordinates after reflection about the x-axis are:
- W”(2,-10)
- X”(8,-10)
- Y”(8,-6)
- Z”(2,-6)
So, the final coordinates of Quadrilateral W”X”Y”Z” after the sequence of transformations are:
- W”(2,-10)
- X”(8,-10)
- Y”(8,-6)
- Z”(2,-6)
By following these steps, you can replicate the given transformation on any coordinate plane.