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Warm Up

Warm Up. C. Objectives. Use the Distance Formula and the Pythagorean Theorem to find the distance between two points. The Distance Formula is used to calculate the distance between two points in a coordinate plane. Find FG and JK . Then determine whether FG  JK.

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Warm Up

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  1. Warm Up C

  2. Objectives Use the Distance Formula and the Pythagorean Theorem to find the distance between two points.

  3. The Distance Formula is used to calculate the distance between two points in a coordinate plane.

  4. Find FG and JK. Then determine whether FG  JK. Example 1: Using the Distance Formula Step 1 Find the coordinates of each point. F(1, 2), G(5, 5), J(–4, 0), K(–1, –3)

  5. Example 1 Continued F(1, 2), G(5, 5), J(–4, 0), K(–1, –3) Step 2 Use the Distance Formula.

  6. Find EF and GH. Then determine if EF  GH. Check It Out! Example 1 Step 1 Find the coordinates of each point. E(–2, 1), F(–5, 5), G(–1, –2), H(3, 1)

  7. Check It Out! Example 1 Continued E(–2, 1), F(–5, 5), G(–1, –2), H(3, 1) Step 2 Use the Distance Formula.

  8. 2. Find the lengths of AB and CD and determine whether they are congruent. Lesson Review 1. Find the distance, to the nearest tenth, between S(6, 5) and T(–3, –4). 12.7 CHALLENGE 3. The coordinates of the vertices of ∆ABC are A(2, 5), B(6, –1), and C(–4, –2). Find the perimeter of ∆ABC, to the nearest tenth. 26.5

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