Answer:
1. The coordinates of Jo’s house are (-4,-2).
2. Kianna walks 8 blocks west, and 2 blocks south.
3. The coordinates of Elena’s house are (4,-2).
4. Kianna is incorrect.
Step-by-step explanation:
1. Since Jo’s house is reflected across both axes, we must reflect the coordinates two times. So we can reflect the coordinates of Kianna’s house across the x-axis first, which would give you the coordinates (4,-2). Then we reflect (4,-2) across the y axis, giving us the coordinates (-4,-2). So Jo’s house has the coordinates (-4,-2).
3. Since Elena’s house is only a reflection of Jo’s house across the x-axis only, we can reflect Kianna’s house’s coordinates (4,2). When we reflect (4.2) over the x-axis, that gives us the coordinates (4,-2). So therefore Elena’s house has the coordinates (4,-2).
4. Kianna is incorrect, if Elena’s house was a reflection of her house across the y-axis, the coordinates would be (-4,2).
(A reflection can be thought of as folding or "flipping" an object over the line of reflection. The original object is called the pre-image, and the reflection is called the image.)
Hope this helps.
