Question

Question 8

The vertices of a rectangle ABCD are listed below.
• A is at (-4,5)
• B is at (2,5)
• Cis at (2, 1)
• D is at (-4,1)
ABCD to be translated 4 units to the left and 3 units up to form rectangle A'B'C'D' After the translation, what are the coordinates of point B

A (-2,2)
B (-2,8)
C (6,8)
D (6,2)

Answer 1

The coordinates of point B after translating rectangle ABCD 4 units to the left and 3 units up are (-2, 8), corresponding to option B in the provided choices.

Step-by-step explanation:

The student is asking to find the coordinates of point B after rectangle ABCD is translated 4 units to the left and 3 units up to form rectangle A'B'C'D'. To perform a translation in the coordinate plane, we add or subtract the translation amounts from the coordinates of the original points. In this case, we are moving 4 units to the left (subtracting 4 from the x-coordinate) and 3 units up (adding 3 to the y-coordinate).

Original coordinates of point B: (2, 5).

Translated coordinates of point B:

• New x-coordinate = Original x-coordinate - 4 = 2 - 4 = -2
• New y-coordinate = Original y-coordinate + 3 = 5 + 3 = 8

Thus, after the translation, the new coordinates of point B are (-2, 8), which is option B.