Answer :
Answer:Sure! Here are a few short riddles based on coordinate geometry:
1. **Riddle**: I have four vertices, and all my sides are equal. When you plot my points, you'll find my diagonals are perpendicular bisectors. What shape am I?
**Answer**: A square.
2. **Riddle**: I lie on the coordinate plane and my equation is of the form \( y = mx + b \). My slope is steep, but my y-intercept is low. What am I?
**Answer**: A line with a large positive slope and a small y-intercept.
3. **Riddle**: I am a figure with two pairs of parallel sides. When you sum up my interior angles, they always add up to 360 degrees. What am I?
**Answer**: A parallelogram.
4. **Riddle**: I am a point on the coordinate plane. My x-coordinate is zero, but my y-coordinate is not. What am I?
**Answer**: A point on the y-axis.
5. **Riddle**: I am the point where the graph of \( y = x \) intersects with \( y = -x \). What are my coordinates?
**Answer**: The origin, (0, 0).
6. **Riddle**: I am the distance between two points on the coordinate plane with coordinates (3, 4) and (0, 0). What is my value?
**Answer**: 5 (calculated using the distance formula \(\sqrt{(3-0)^2 + (4-0)^2}\)).
7. **Riddle**: I am the midpoint of a line segment with endpoints (2, 3) and (4, 7). What are my coordinates?
**Answer**: (3, 5) (calculated using the midpoint formula \(\left(\frac{2+4}{2}, \frac{3+7}{2}\right)\)).
8. **Riddle**: I am a circle on the coordinate plane, and my equation is \( (x-2)^2 + (y+3)^2 = 16 \). Where is my center and what is my radius?
**Answer**: Center at (2, -3) and radius 4.
Feel free to use these riddles for fun or educational purposes!
Step-by-step explanation:
Please
Step-by-step explanation:
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