A boy wants to swim from one dock of a pond to another dock. About how far will he have to swim?
1 answer:
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1. Draw the points in the coordinate axes, as in the attached picture.
2. AB and CD are parallel, (both are parallel to the x-axis)
3. A is closer to the y axis than D and C is closer to the C closer than B
4. So combining 2 and 3, we conclude that ABCD is a trapezoid.
5. The remaining thing to check is whether the trapezoid is isosceles or not. For this we drop the heights to AB from points C and D,
and see that the distances from the feets of these heights to the points A and B are not equal.
Answer: Trapezoid
2. AB and CD are parallel, (both are parallel to the x-axis)
3. A is closer to the y axis than D and C is closer to the C closer than B
4. So combining 2 and 3, we conclude that ABCD is a trapezoid.
5. The remaining thing to check is whether the trapezoid is isosceles or not. For this we drop the heights to AB from points C and D,
and see that the distances from the feets of these heights to the points A and B are not equal.
Answer: Trapezoid