The definition of the term "Distance Formula."

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In this TI-Nspire Activity, use the Geometry Tools to construct a regular polygon and measure its area using the apothem-perimeter formula. 

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Example 1: Calculate the distance between two points under the following conditions: Both points in Quadrant 1, whole number distance.

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Example 2: Calculate the distance between two points under the following conditions: Both points in Quadrant 1, distance as an irrational number.

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Example 3: Calculate the distance between two points under the following conditions: Both points in Quadrant 1, along a horizontal line.

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Example 4: Calculate the distance between two points under the following conditions: Both points in Quadrant 1, along a vertical line.

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Example 5: Calculate the distance between two points under the following conditions: A point in Q1 and a point in Q2, whole number distance.

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Example 6: Calculate the distance between two points under the following conditions: A point in Q1 and a point in Q2, distance as an irrational number.

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Example 7: Calculate the distance between two points under the following conditions: A point in Q1 and a point in Q2, distance along a horizontal line.

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Example 8: Calculate the distance between two points under the following conditions: A point in Q1 and a point in Q3, whole number distance.

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Example 9: Calculate the distance between two points under the following conditions: A point in Q1 and a point in Q4, rational number distance.

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Example 10: Calculate the distance between two points under the following conditions: A point in Q1 and a point in Q4, distance as an irrational number.

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Example 11: Calculate the distance between two points under the following conditions: A point in Q1 and a point in Q4, along a vertical line.

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Example 12: Calculate the distance between two points under the following conditions: A point in Q2 and a point in Q3, whole number distance.

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Example 13: Calculate the distance between two points under the following conditions: A point in Q2 and a point in Q3, distance as an irrational number.

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Example 14: Calculate the distance between two points under the following conditions: A point in Q2 and a point in Q3, along a vertical line.

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Example 15: Calculate the distance between two points under the following conditions: A point in Q3 and a point in Q4, whole number distance.

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Example 16: Calculate the distance between two points under the following conditions: A point in Q3 and a point in Q4, distance as an irrational number.

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Example 17: Calculate the distance between two points under the following conditions: A point in Q3 and a point in Q4, along a horizontal line.

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Example 18: Calculate the distance between two points under the following conditions: A point point on the x-axis and point on the y-axis, whole number distance.

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Example 19: Calculate the distance between two points under the following conditions: A point point on the x-axis and point on the y-axis, distance as an irrational number.

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Example 20: Calculate the distance between two points under the following conditions: A point point on the x-axis and point on the y-axis, along a horizontal line.

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Example 21: Calculate the distance between two points under the following conditions: A point point on the x-axis and point on the y-axis, along a vertical line.

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In this worksheet use the distance formula to calculate the area of a quadrilateral. Students are also asked to classify the quadrilateral.

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In this worksheet use the distance formula to calculate the area of a quadrilateral. Students are also asked to classify the quadrilateral.

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