2 Day 1 – Using Coordinate Geometry To Prove Right Triangles and Parallelograms Proving a triangle is a right triangle Method 1: Show two sides of the triangle are perpendicular by demonstrating their slopes are opposite reciprocals. A 10/21 3.3 Proving Lines Parallel Worksheet: 3.3 Proving Lines Parallel 18 B 10/22. Hint: Watch for change in units! Title: 0052_hsm11gmtr_0206.indd Author: dp226 Created Date: 9/1/2009 7:37:00 PM Other titles: 0052_hsm11gmtr_0206.indd “If I am both rich and poor then 2 + 2 = 5.” [ Even though these examples seem silly, both trivial and vacuous proofs Sample Questions from Ga. Department of Education Name: 9.1 cm. Geometry. 2. Method 2: Calculate the distances of all three sides and then test the Pythagorean’s theorem to show the three lengths make the … C A B 1 3 4 2 4 2 3 1 1 2 3 T A C 6 5 4 Geometry Name: Proof Worksheet (3) Date: 1. Senk also made the optimistic point that “much of a student’s achievement in writing geometry proofs is due to factors within the direct control of the teacher and the curriculum” (Senk, 1989, p. 319). 32°F = 0°C. A 10/23 Quiz 3.1-3.3 Khan Academy 19 B 10/24. If one of the diagonals of a quadrilateral is the perpendicular bisector of the other diagonal, Therefore, let us glimpse classroom practice with regard to proof in geometry. 2.1 An Introduction to Axiomatics and Proof. Use graph paper, ruler, pencil. A figure is a Rhombus IFF it is a quadrilateral with four congruent sides. If two disjoint pairs of consecutive sides of a quadrilateral are congruent, then it is a kite (definition). 2.2 The Role of Examples and Models. Coordinate Geometry Proofs Practice Problems. Hint: Draw triangles from 1 vertex.. Hint: Simplify fractions first. 2.2 cm. A 10/27 3.4 Slope of Lines. Sections Covered: 1.1 Points, Lines, and Planes. A figure is a Rectangle IFF it is a quadrilateral with four right angles. 1.2 Segments and Congruence. Coordinate Geometry Proofs: *** Make sure you are familiar with the charts given out in class in order to know the process of how to prove what the example is asking for. 1.5 Angle Pair Relationships. 3.5 Writing Equations of Lines. 1.4 Measure and Classify Angles. Be sure to really show the original formula and show the steps clearly- be neat and precise. 2.3 Incidence Axioms for Geometry. “If it is raining then 1=1.” Vacuous Proof: If we know p is false then p → q is true as well. Examples: 1) Triangle TRI has vertices T(15,6), R(5,1), and I(5,11). 1.3 Midpoint and Distance Formulas. Look over the toolkit page that describes the steps used in a coordinate geometry proof. A figure is a Square IFF it is a quadrilateral with four … Geometry Notes Name: _____ Proofs of Quadrilateral Properties Definitions: A figure is a Parallelogram, IFF it is a quadrilateral with two sets of opposite, parallel sides. 3.8 cm. Worksheet: 3.4 Slope of Lines. Strand: Measurements & Geometry. Use coordinate geometry to prove that triangle TRI is … 212°F = 100°C. Proving Conditional Statements: p → q Trivial Proof: If we know q is true, then p → q is true as well. 3.5 Writing Equations of Lines 20 B 10/28. Hint: When estimating round sides to the nearest whole number! Proving That a Quadrilateral is a Kite To prove that a quadrilateral is a kite, either of the following methods can be used. 1. Given: ∠3 ≅ ∠4 Prove: ∠1 ≅ ∠2 Homework assignment 1 2.1 An Introduction to Axiomatics and Proof. Write sentences that explain your ideas clearly. 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