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 transcript:

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.

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 − 𝒙 𝟏 ) 𝟐 + ( 𝒚 𝟐 − 𝒚 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.

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.

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.

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.

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.

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.

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.

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.

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.