Answered

Rectangle ABCD has coordinates A(0, 0), B(0, 4), C(3, 0), and D(3, 4). If the
polygon is translated 3 units up, what are the coordinates of B'?



Answer :

GinnyAnswer
To find the coordinates of point B after translating the rectangle ABCD 3 units up, we need to follow these steps:

1. Identify the coordinates of point B:
B is given as (0, 4).

2. Understand the translation:
Translating a point 3 units up means adding 3 to the y-coordinate of the point because moving up affects the vertical position.

3. Apply the translation to point B:
- The x-coordinate of B stays the same since the translation is only vertical: [tex]\( x_B = 0 \)[/tex].
- The y-coordinate of B increases by 3 units: [tex]\( y_B = 4 + 3 \)[/tex].

4. Calculate the new y-coordinate:
[tex]\( y_B' = 4 + 3 = 7 \)[/tex].

5. Write the new coordinates of B':
After the translation, the coordinates of B' are: [tex]\( (0, 7) \)[/tex].

Thus, the coordinates of B' after translating the rectangle ABCD 3 units up are [tex]\( (0, 7) \)[/tex].

Other Questions