'Coordinate proofs' diaporamas de présentation

Splash Screen

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Splash Screen

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Splash Screen

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Splash Screen

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Lesson 7 Menu

Five-Minute Check (over Lesson 4-6) Main Ideas and Vocabulary California Standards Key Concept: Placing Figures on the Coordinate Plane Example 1: Position and Label a Triangle Example 2: Find the Missing Coordinates Example 3: Coordinate Proof

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5.1 Midsegment Theorem and Coordinate Proof

5.1 Midsegment Theorem and Coordinate Proof. Goal:Use properties of midsegments and write coordinate proofs. Vocabulary. Midsegment of a triangle: A midsegment of a triangle is a segment that connects the midpoints of two sides of the triangle.

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Lesson 4-7

Lesson 4-7. Triangles and Coordinate Proof. Transparency 4-7. 5-Minute Check on Lesson 4-6. Refer to the figure. 1. Name two congruent segments if ? 1 ? ?2 . 2. Name two congruent angles if RS ? RT . 3. Find m? R if m? RUV = 65? .

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Lesson 4-7

Lesson 4-7. Triangles and Coordinate Proof. Transparency 4-7. 5-Minute Check on Lesson 4-6. Refer to the figure. 1. Name two congruent segments if ? 1 ? ?2 . 2. Name two congruent angles if RS ? RT . 3. Find m? R if m? RUV = 65? .

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Midsegments of Triangles 5.1

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6.7: Coordinate Proofs

With these formulas you can use coordinate geometry to prove theorems that address length (congruence / equality / mid point) and slope ( parallel and perpendicular.). 6.7: Coordinate Proofs. (x 1 , y 1 ). (x 2 , y 2 ). In a trapezoid, only one pair of sides is parallel.

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3. 2. 1. 4. Midsegment Theorem and Coordinate Proof. parallel. half. 90 in. 45 in. .5. .5. 2. 2. 45 in. 90 in. Check Point #1. midpoint. midpoint. midsegment. Midsegment theorem. Check Point #2. Then SV is the midsegment of triangle QRP. Coordinate Proofs.

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Lesson 8-7

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Placing Figures on Coordinate Plane

"Nothing is ever achieved without enthusiasm." Ralph Waldo Emerson. Placing Figures on Coordinate Plane. Use the origin for vertex or center of figure. Place at least one side on an axis. Keep the figure within the first quadrant if possible.

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Geometry

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Chapter 6: Quadrilaterals

Chapter 6: Quadrilaterals. 6.7 Proofs Using Coordinate Geometry. Trapezoid Midsegment Theorem: (1) the midsegment of a trapezoid is parallel to the bases (2) the length of the midsegment of a trapezoid is half the sum of the lengths of the bases. Example 1.

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