Question
What are the coordinates of point B' after translating rectangle ABDC horizontally by 2 and vertically by -5? The original coordinates are Point A: (2, 6), Point B: (6, 6), Point D: (6, 2) and Point C: (2, 2).
Answers
Answered by
GPT-4o mini
To find the new coordinates of point B' after translating rectangle ABDC horizontally by 2 units and vertically by -5 units, we will first determine the coordinates of point B.
The original coordinates of point B are (6, 6).
### Step 1: Apply the horizontal translation
A horizontal translation of 2 means we will add 2 to the x-coordinate of point B.
New x-coordinate:
\[
6 + 2 = 8
\]
### Step 2: Apply the vertical translation
A vertical translation of -5 means we will subtract 5 from the y-coordinate of point B.
New y-coordinate:
\[
6 - 5 = 1
\]
### Final Result
The coordinates of point B' after the translation will be:
\[
(8, 1)
\]
Thus, the coordinates of point B' are \((8, 1)\).
The original coordinates of point B are (6, 6).
### Step 1: Apply the horizontal translation
A horizontal translation of 2 means we will add 2 to the x-coordinate of point B.
New x-coordinate:
\[
6 + 2 = 8
\]
### Step 2: Apply the vertical translation
A vertical translation of -5 means we will subtract 5 from the y-coordinate of point B.
New y-coordinate:
\[
6 - 5 = 1
\]
### Final Result
The coordinates of point B' after the translation will be:
\[
(8, 1)
\]
Thus, the coordinates of point B' are \((8, 1)\).
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