5. the vertices of a rectangle are r (-5 -5) s(-1 -5) t(-1 1) and u(-5 1) after translation, R is the point (-7 -8) what are the translation rule and coordinates of u?
6 what is the description of the translation represented by the translation rule (x, y) > (x - 2 y + 2)
A. 2 units to the right and 2 units down
B. 2 units to the right and 2 units up
C. 2 units to the left and 2 units up *
D. 2 units to the left and 2 units down
i just need help cuz idk
Sure, I can help you with that! Let's break it down step by step:
Step 1: Find the translation rule.
To find the translation rule, you need to determine the amount by which the x-coordinate and y-coordinate of each point have been changed. In this case, we have the point R (-5, -5) being translated to (-7, -8).
To find the translation rule for the x-coordinate, subtract the new x-coordinate from the original x-coordinate:
-7 - (-5) = -7 + 5 = -2
To find the translation rule for the y-coordinate, subtract the new y-coordinate from the original y-coordinate:
-8 - (-5) = -8 + 5 = -3
Therefore, the translation rule is (x, y) > (x - 2, y - 3).
Step 2: Find the coordinates of point U after translation.
You have the original coordinates for point U as (-5, 1). To apply the translation rule, subtract 2 from the x-coordinate and subtract 3 from the y-coordinate:
x-coordinate after translation: -5 - 2 = -7
y-coordinate after translation: 1 - 3 = -2
So, the coordinates of point U after translation are (-7, -2).
Now let's move on to question 6:
The translation rule given is (x, y) > (x - 2, y + 2).
To interpret this translation rule, let's break it down:
- The x-coordinate has been shifted to the left by 2 units, as indicated by the subtraction of 2 from the x-coordinate: (x - 2).
- The y-coordinate has been shifted upwards by 2 units, as indicated by the addition of 2 to the y-coordinate: (y + 2).
So, the correct description of the translation represented by the given translation rule (x, y) > (x - 2, y + 2) is C. 2 units to the left and 2 units up.
Sure, I can help you with both questions.
5. To find the translation rule, we can determine how much the x-coordinate and the y-coordinate of R changed compared to the x-coordinate and y-coordinate of the corresponding vertex in the original rectangle (u).
The change in the x-coordinate is the difference between the x-coordinate of R (-7) and the x-coordinate of u (-5), which is -7 - (-5) = -2.
The change in the y-coordinate is the difference between the y-coordinate of R (-8) and the y-coordinate of u (1), which is -8 - 1 = -9.
Therefore, the translation rule is (x, y) -> (x - 2, y - 9).
To find the coordinates of u after translation, we apply the translation rule to the original coordinates of u (-5, 1):
For the x-coordinate: x - 2 = -5 - 2 = -7
For the y-coordinate: y - 9 = 1 - 9 = -8
So, the translated coordinates of u are (-7, -8).
6. To understand the translation represented by the given translation rule (x, y) -> (x - 2, y + 2), we look at how the x-coordinate and y-coordinate are affected.
The rule (x, y) -> (x - 2, y + 2) means that the x-coordinate is shifted 2 units to the left (x - 2) and the y-coordinate is shifted 2 units up (y + 2).
So, the correct description of the translation represented by this rule is C. 2 units to the left and 2 units up.
so, you have (-5,-5)+(h,k)=(-7,-8)
Looks like
-5+h = -7
-5+k = -8
so ...
#6 is correct