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Distance Formula Essential Question: How do we find the distance between two coordinate points? Demonstrated by using the distance formula in the notes.

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Presentation on theme: "Distance Formula Essential Question: How do we find the distance between two coordinate points? Demonstrated by using the distance formula in the notes."β€” Presentation transcript:

1 Distance Formula Essential Question: How do we find the distance between two coordinate points? Demonstrated by using the distance formula in the notes and in the summary.

2 The distance formula is used to compute the distance between two points in a coordinate plane. In a coordinate plane, the distance d between two points (x1, y1) and (x2, y2) is d= ( 𝒙 𝟐 βˆ’ 𝒙 𝟏 ) 𝟐 + ( π’š 𝟐 βˆ’ π’š 𝟏 ) 𝟐 Essential Question: How do we find the distance between two coordinate points? Demonstrated by using the distance formula in the notes and in the summary.

3 Example 1: Using the distance formula, find the distance between the two points on the graph.
Essential Question: How do we find the distance between two coordinate points? Demonstrated by using the distance formula in the notes and in the summary.

4 Example 2: Using the distance formula, find the distance between the two points on the graph.
Essential Question: How do we find the distance between two coordinate points? Demonstrated by using the distance formula in the notes and in the summary.

5 Example 3: Using the distance formula, find the distance between the two points. (-4, -7), (-2, 7)
Essential Question: How do we find the distance between two coordinate points? Demonstrated by using the distance formula in the notes and in the summary.

6 Example 4: Using the distance formula, find the distance between the two points. (4.3, -2.9), (-0.3, -2.8) Essential Question: How do we find the distance between two coordinate points? Demonstrated by using the distance formula in the notes and in the summary.

7 Example 5: What is the approximate length of RS with endpoints R (2, 3) and S (4, -1)?
Essential Question: How do we find the distance between two coordinate points? Demonstrated by using the distance formula in the notes and in the summary.

8 Remember! It doesn’t matter which ordered pair you choose to substitute for (x1, y1) and which ordered pair you choose to substitute for (x2, y2) . Essential Question: How do we find the distance between two coordinate points? Demonstrated by using the distance formula in the notes and in the summary.

9 Example 6: The endpoints of two segments are given
Example 6: The endpoints of two segments are given. Find each segment length. Tell whether the segments are congruent. AB: A(0, 2), B(-6, 4) CD: C(-2, 2), D(0, -6) B. EF: E(1, 4), F(4, 3) GH: G(3, 1) H(6, 2) Essential Question: How do we find the distance between two coordinate points? Demonstrated by using the distance formula in the notes and in the summary.

10 Example 7: To find the distance between the swing and the sandbox in his backyard, Darren made a graph and found the coordinates of the swing to be (7, 2) and the coordinates of the sandbox to be (-3, 8). Find the distance between the swing and the sandbox to the nearest tenth of a unit. Essential Question: How do we find the distance between two coordinate points? Demonstrated by using the distance formula in the notes and in the summary.


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