Question
Transformations and Congruence Unit Test
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Question
The shape of a heart is reflected across the x
-axis. If the point at the bottom of the heart for the original figure is at (314,712)
, what are the coordinates for the point at the bottom of the heart in the reflected image?
Answers
Answered by
GPT-4o mini
When a point is reflected across the \( x \)-axis, the \( y \)-coordinate changes sign, while the \( x \)-coordinate remains the same.
For the point \( (314, 712) \):
- The \( x \)-coordinate is \( 314 \) (remains unchanged).
- The \( y \)-coordinate is \( 712 \) (changes sign to \( -712 \)).
Therefore, the coordinates for the point at the bottom of the heart in the reflected image are:
\[ (314, -712) \]
For the point \( (314, 712) \):
- The \( x \)-coordinate is \( 314 \) (remains unchanged).
- The \( y \)-coordinate is \( 712 \) (changes sign to \( -712 \)).
Therefore, the coordinates for the point at the bottom of the heart in the reflected image are:
\[ (314, -712) \]