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6.6(b) Notes: Triangles in the Coordinate Plane Lesson Objective: Prove triangles congruent in the coordinate plane. CCSS: G.CO.10, G.GPE.4.

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Presentation on theme: "6.6(b) Notes: Triangles in the Coordinate Plane Lesson Objective: Prove triangles congruent in the coordinate plane. CCSS: G.CO.10, G.GPE.4."— Presentation transcript:

1 6.6(b) Notes: Triangles in the Coordinate Plane Lesson Objective: Prove triangles congruent in the coordinate plane. CCSS: G.CO.10, G.GPE.4

2 Lesson 1: Classifying Triangles in the Coordinate Plane Plot ΔJKL with vertices J(-3, 0), K(-7, 1) and L(-4, 4). Classify the triangle. d = √ JK = KL = LJ =

3 Lesson 2: Classifying Triangles in the Real World Classify the triangle. OA = AS = SO =

4 Lesson 3: Congruency in the Coordinate Plane Given ΔABC has vertices A(-2,3), B(-2,-1), and C(1,-1) and ΔDEF has vertices D(2,1), E(2,5), F(5,5), determine if the triangles are congruent. If congruent, name the postulate that proves their congruency. AB = DE = BC = EF = CA = FD =

5 6.6: Do I Get It? Yes or No 1.Position and label right ΔABC with legs AC and AB so that AC is 3a units long on the x- axis and leg AB is 2b units long on the y-axis. 2. Name the missing coordinate(s) of triangle ZCY.

6 6.6: Do I Get It? Continued 3. Plot ΔABC with vertices A(1, 1), B(0, 3) and C(2, 5). Determine the classification of ΔABC. 4.Now plot ΔEFG with vertices E(1, -1), F(2, -5) and G(4, -4) on the same coordinate plane as ΔABC. Prove ΔABC ΔEFG. If so, name the postulate or theorem that justifies your answer.

7 6.6: Do I Get It? Continued 5. Classify the triangle.


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