im doing unit 4 lesson 16 10th grade transformation unit test and i need help
Jarvis wants to translate rectangle ABDC horizontally by −4 and vertically by +3 to produce rectangle A′B′D′C′ What will be the coordinates of C′ after Jarvis completes this translation?
To translate a point horizontally by -4 and vertically by +3, you will adjust the x-coordinate by -4 and the y-coordinate by +3.
Let's say the original coordinates of point C are (x, y). After the translation, the new coordinates of C' will be:
x-coordinate of C' = x - 4
y-coordinate of C' = y + 3
Without knowing the specific coordinates of point C, we cannot provide the exact coordinates of C' in this case. Please provide the coordinates of point C (x, y) to receive a more specific answer.
To find the coordinates of C' after the horizontal and vertical translation, we need to apply the given values accordingly.
Let's start with the original coordinates:
A = (x, y)
B = (x, y)
D = (x, y)
C = (x, y)
Now let's apply the translation horizontally by -4 units:
A' = (x - 4, y)
B' = (x - 4, y)
D' = (x - 4, y)
C = (x - 4, y)
Finally, let's apply the translation vertically by +3 units:
A' = (x - 4, y + 3)
B' = (x - 4, y + 3)
D' = (x - 4, y + 3)
C' = (x - 4, y + 3)
Therefore, the coordinates of C' are (x - 4, y + 3).
To find the coordinates of C′ after the given translation, you can follow these steps:
Step 1: Understand the given information.
- Rectangle ABDC is being horizontally translated by -4 units.
- Rectangle ABDC is being vertically translated by +3 units.
Step 2: Find the coordinates of the original point C (C(x, y)).
- Since the coordinates of point C are not given in the question, refer to any previous step or problem in the lesson where the coordinates of C are mentioned.
Step 3: Apply the horizontal translation.
- Subtract the horizontal translation amount (-4) from the x-coordinate of C (C(x - 4, y)).
Step 4: Apply the vertical translation.
- Add the vertical translation amount (+3) to the y-coordinate obtained from the previous step (C(x - 4, y + 3)).
Step 5: Determine the coordinates of C′.
- After completing both the horizontal and vertical translations, the coordinates of C′ will be (x - 4, y + 3).
Note: It is important to have the coordinates of the original point C in order to proceed with the translation.