A lined segment has endpoints 1,1 and 4,4 demonstrating the properties of reflection to cross the y-axis. What are the reflected end points?
To reflect a point across the y-axis, we need to change the sign of its x-coordinate while keeping the y-coordinate the same.
The first endpoint is (1, 1). By reflecting it across the y-axis, the x-coordinate becomes -1, while the y-coordinate remains 1. Therefore, the reflected endpoint is (-1, 1).
The second endpoint is (4, 4). By reflecting it across the y-axis, the x-coordinate becomes -4, while the y-coordinate remains 4. Therefore, the reflected endpoint is (-4, 4).
So the reflected endpoints of the lined segment after crossing the y-axis are (-1, 1) and (-4, 4).
A line contains the point 6, -3 and 3,1 When this line is reflected across the y axis, what are the two new points
To reflect a point across the y-axis, we need to change the sign of its x-coordinate while keeping the y-coordinate the same.
The first point is (6, -3). By reflecting it across the y-axis, the x-coordinate becomes -6, while the y-coordinate remains -3. Therefore, the first new point is (-6, -3).
The second point is (3, 1). By reflecting it across the y-axis, the x-coordinate becomes -3, while the y-coordinate remains 1. Therefore, the second new point is (-3, 1).
So the two new points after reflecting the line across the y-axis are (-6, -3) and (-3, 1).
A line segment has end point 0,5 and 6,5 after the line segment is reflected across the x-axis. How long will it be?
When a line segment is reflected across the x-axis, the y-coordinates of the endpoint change sign while the x-coordinates remain the same.
The original line segment has endpoints (0, 5) and (6, 5). After reflecting across the x-axis, the y-coordinate of (0, 5) becomes -5 and the y-coordinate of (6, 5) becomes -5 as well. The x-coordinates remain the same.
The reflected line segment has endpoints (0, -5) and (6, -5).
To determine the length of the reflected line segment, we can use the distance formula:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
In this case, the x-coordinates are the same and the y-coordinates have changed. Therefore, the length of the reflected line segment is:
Distance = √[(6 - 0)^2 + (-5 - (-5))^2]
= √[6^2 + 0^2]
= √[36]
= 6
So, the reflected line segment will have a length of 6 units.