im doing unit4 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 find the coordinates of C′ after the translation, we need to apply the horizontal and vertical shifts to the coordinates of C.
Let's assume the coordinates of C are (x, y).
1. Horizontal Translation: The rectangle is being translated by -4 units horizontally (to the left). So, the x-coordinate will decrease by 4 units.
The new x-coordinate for C′ will be: x - 4.
2. Vertical Translation: The rectangle is being translated by +3 units vertically (upwards). So, the y-coordinate will increase by 3 units.
The new y-coordinate for C′ will be: y + 3.
Therefore, the coordinates of C′ will be (x - 4, y + 3).
To find the coordinates of C' after the translation, we need to apply both the horizontal and vertical translations to the original coordinates of C.
Let's use the formula for translating a point (x, y) horizontally by h units and vertically by v units:
New_x = x + h
New_y = y + v
In this case, the horizontal translation is -4 units and the vertical translation is +3 units.
Original coordinates of C: (x, y)
C' coordinates after translation:
New_x = x - 4
New_y = y + 3
So, the coordinates of C' will be (x - 4, y + 3).