Distance On Coordinate Plane Worksheet

Are you in search of a comprehensive worksheet that will help your students practice determining distances on a coordinate plane? Look no further! This worksheet is designed to engage and challenge students as they learn and apply concepts related to finding distances between points on a coordinate plane. By providing clear instructions and a variety of exercises, this worksheet is perfectly suited for educators and students who are eager to enhance their understanding of distance calculations in a fun and interactive way.

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What is the distance between points A(3, 6) and B(5, 9)?

The distance between points A(3, 6) and B(5, 9) is approximately 3.61 units, calculated using the distance formula in coordinate geometry: ?((5-3)^2 + (9-6)^2) = ?(2^2 + 3^2) = ?(4+9) = ?13 ? 3.61.

Determine the distance between points C(-2, -4) and D(8, 1).

To determine the distance between points C(-2, -4) and D(8, 1), we use the distance formula: ?((x2 - x1)² + (y2 - y1)²). Substituting the coordinates, the distance between point C and D is ?((8 - (-2))² + (1 - (-4))²) = ?(10² + 5²) = ?(100 + 25) = ?125 = 5?5 units. Hence, the distance between points C and D is 5?5 units.

Calculate the distance between points E(-5, -1) and F(2, 7).

To calculate the distance between points E(-5, -1) and F(2, 7), we use the distance formula which states that the distance between two points (x1, y1) and (x2, y2) is given by ?((x2-x1)^2 + (y2-y1)^2). Plugging in the coordinates for E(-5, -1) and F(2, 7), we get ?((2-(-5))^2 + (7-(-1))^2) = ?(7^2 + 8^2) = ?(49 + 64) = ?113. Therefore, the distance between points E and F is ?113 units.

What is the distance between points G(0, 0) and H(4, 3)?

The distance between points G(0, 0) and H(4, 3) can be calculated using the distance formula: ?((4-0)² + (3-0)²) = ?(16 + 9) = ?25 = 5 units. Therefore, the distance between points G and H is 5 units.

Determine the distance between points I(-3, 2) and J(5, -6).

To determine the distance between points I(-3, 2) and J(5, -6), we can use the distance formula. The formula is ?((x2 - x1)^2 + (y2 - y1)^2). Substituting the coordinates, we get ?((5 - (-3))^2 + (-6 - 2)^2) = ?(8^2 + (-8)^2) = ?(64 + 64) = ?128 ? 11.31 units. Therefore, the distance between points I and J is approximately 11.31 units.

Calculate the distance between points K(2, -2) and L(-4, 5).

The distance between points K(2, -2) and L(-4, 5) can be calculated using the distance formula: ?[(x2 - x1)^2 + (y2 - y1)^2]. Substituting the coordinates into the formula, we get ?[(-4 - 2)^2 + (5 - (-2))^2] = ?[(-6)^2 + (7)^2] = ?[36 + 49] = ?85. Therefore, the distance between points K and L is ?85 units.

What is the distance between points M(1, -2) and N(9, 8)?

To calculate the distance between points M(1, -2) and N(9, 8), you would use the distance formula: ?((x2-x1)² + (y2-y1)²). Substituting the coordinates into the formula, we get ?((9-1)² + (8-(-2))²) = ?(8² + 10²) = ?(64 + 100) = ?164, which simplifies to approximately 12.81 units.

Determine the distance between points O(-6, 3) and P(2, -5).

To determine the distance between points O(-6, 3) and P(2, -5), we can use the distance formula: d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]. Substituting the coordinates, we get d = sqrt[(2 - (-6))^2 + (-5 - 3)^2] = sqrt[(8)^2 + (-8)^2] = sqrt[64 + 64] = sqrt[128] = 8*sqrt(2). Therefore, the distance between points O and P is 8*sqrt(2) units.

Calculate the distance between points Q(7, -3) and R(-1, 5).

To calculate the distance between points Q(7, -3) and R(-1, 5), we use the distance formula: ?[(x2-x1)^2 + (y2-y1)^2]. Substituting the coordinates, we get ?[(-1-7)^2 + (5-(-3))^2] = ?[(-8)^2 + (8)^2] = ?[64 + 64] = ?128 = 8?2 units. Therefore, the distance between points Q and R is 8?2 units.

What is the distance between points S(4, 1) and T(-2, -3)?

To find the distance between points S(4, 1) and T(-2, -3), we use the distance formula d = ?((x2-x1)² + (y2-y1)²). Substituting the coordinates, we get d = ?((-2-4)² + (-3-1)²) = ?((-6)² + (-4)²) = ?(36 + 16) = ?52. Therefore, the distance between points S and T is ?52 units.