A translation of 4 units to the right followed by a dilation of a factor of 2
Which transformations could have been used to move the platter to the new location? A. a translation 9 units left and a translation 3 units down B. a reflection across MN and a translation 4 units left C. a reflection across MN and a translation 8 units left D. a rotation 180° clockwise about N and a translation 4 units left
A horizontal translation shifts the coordinates of endpoints along the x-axis by a specific value. If a point ((x, y)) is translated horizontally by (h) units, its new coordinate becomes ((x + h, y)) if (h) is positive (to the right) or ((x - h, y)) if (h) is negative (to the left). This change affects only the x-coordinate, while the y-coordinate remains unchanged. Thus, the overall shape and orientation of the figure are preserved, only its position along the x-axis is altered.
The length, width, or height of a solid figure is measured in units of length. The area of the figure's outside surfaces is measured in squared units of length. The volume of space filled by the figure is measured in cubed units of length. The mass of the figure is measured in units of mass. The weight of the object is measured in units of force. The age of the figure is measured in units of time. etc.
cubed units
translation
A translation of 4 units to the right followed by a dilation of a factor of 2
the translation of 2 is the one that triangle moves by 4 units right and 8 units up
Here's an example: In the coordinate plane, the point is translated to the point . Under the same translation, the points and are translated to and , respectively. What are the coordinates of and ? Any translation sends a point to a point . For the point in the problem, we have the following. So we have . Solving for and , we get and . So the translation is unit to the right and units up. See Figure 1. We can now find and . They come from the same translation: unit to the right and units up. The three points and their translations are shown in Figure 2.
A slide of a figure to a new location, often referred to as a translation in geometry, involves moving the entire figure a certain distance in a specific direction without altering its shape, size, or orientation. This process is defined by a vector that indicates how far and in what direction each point of the figure should move. For example, translating a triangle 3 units to the right and 2 units up would result in the same triangle positioned at a new location in the coordinate plane.
if a figure is shifted 3 units to the right, you add to the coordinate
(2,1)
The coordinates are (10, 5).
(x,y) > (x + 8, y + 2)
For this translation, you need to replace every occurence of "x" with "x-3", and every occurence of "y" with "y+5".
If you we're at the point (8,-2) and you went 5 units right and 2 units up, you'd be at (13,0).
Which transformations could have been used to move the platter to the new location? A. a translation 9 units left and a translation 3 units down B. a reflection across MN and a translation 4 units left C. a reflection across MN and a translation 8 units left D. a rotation 180° clockwise about N and a translation 4 units left