PPT-PROVING ANGLES CONGRUENT

  Lesson Aim How do we prove and apply theorems about angles   Lesson Objectives SWBAT To prove and apply theorems about angle NYS Content Strand   GPS4 Construct various types of reasoning arguments justifications and methods of proof for problems. Addition, Subtraction, Multiplication, and Division . Properties. Addition, Subtraction, Multiplication and Division Properties. I CAN…. Use the addition, subtraction, multiplication. and division properties. Quadrilaterals. Quadrilaterals. Parallelograms. Quadrilaterals. Parallelograms. Rectangles. Rhombi. Quadrilaterals. Parallelograms. Rectangles. Rhombi. Squares. Quadrilaterals. Parallelograms. Rectangles. Sara . Beberman. Olivia . DeFlumeri. Olivia Huynh. Amanda . Okaka. Parallelogram. A parallelogram is a quadrilateral with both pairs of opposite sides parallel. - if a quadrilateral has two pairs of opposite sides congruent then it is a parallelogram ex: (AB. Sec: . 4.5. Sol: G.5. Properties of Isosceles Triangles. An isosceles triangle is a triangle with two congruent sides.. The congruent sides are called legs and the third side is called the base.. 3. Δ. s are . . : . SSS, SAS, HL, ASA, & AAS. SSS. Side-Side-Side . . Postulate. If 3 sides of one . Δ. are . . to 3 sides of another . Δ. , then the . Δ. s are . . .. More on the SSS Postulate. Sec: 4.6. Sol: G.5. Properties of Isosceles Triangles. An isosceles triangle is a triangle with two congruent sides.. The congruent sides are called legs and the third side is called the base.. 3. Leg. 4.2. SSS Postulate (Just call it SSS). If . three sides of one triangle . are congruent to. three sides of another triangle, . then the triangles are congruent.. SAS Postulate (Just call it SAS). If . Side-Angle-Side (SAS) Congruence Postulate. If two sides and the included angle are congruent to the corresponding sides and angles on another triangle, then the triangles are congruent. . EXAMPLE 1. Helpful websites. http://www.regentsprep.org/Regents/mathb/1c/preprooftriangles.htm. http://www.mathwarehouse.com/geometry/congruent_triangles/. http://www.cliffsnotes.com/WileyCDA/CliffsReviewTopic/Congruent-Triangles.topicArticleId-18851,articleId-18788.html. Students will be able to. Determine whether two lines are parallel. Write flow proofs. Define and apply the converse of the theorems from the previous section. Objectives. You can use certain angle pairs to determine if two lines are parallel. Using Congruent Triangles. Congruent triangles have congruent corresponding parts. So, if you can prove the two triangles are congruent then you know their corresponding parts must be congruent as well.. By,. Michael . Thiel. and Lauren . Larar. . . What Family?. First, you must identify what family the quadrilateral falls under.. Parallelogram. , . Trapezoid. ,. . quadrilateral.. Proving that a quadrilateral is a Rectangle. Chapter 4. Objective. List corresponding parts.. Prove triangles congruent (ASA, SAS, AAS, SSS, HL). Prove corresponding parts congruent (CPCTC). Examine overlapping triangles.. Key Vocabulary - Review. Chapter 4. This Slideshow was developed to accompany the textbook. Larson Geometry. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook..