PPT-1 Triangle Angle Sum Theorem, Triangle Exterior Angle Theor

Objectives State the triangle angle sum theorem and solve for an unknown angle in a triangle Classify triangles based on measures of angles as well sides State the triangle exterior angle theorem and solve for an unknown exterior angle of a triangle. Learner Objective: Students will apply a Right Angle Theorem as a way of proving 
 that two angles are right angles and to solve problems involving right angles.. Advanced Geometry. Learner Objective: Students will apply a Right Angle Theorem as a way of proving 
 that two angles are right angles and to solve problems involving right angles.. Draw one straight line crossing another straight line. Measure all 4 angles.. C. A B. D. Angle A = Angle B Angle C = Angle D. Section 4.2. Objectives. Find angle measures in triangles.. Key Vocabulary. Corollary. Exterior angles. Interior angles. Theorems. 4.1 Triangle Sum Theorem. Corollary to the Triangle Sum Theorem. 4.2 Exterior Angle Theorem. Exterior Angles and Triangles. An . exterior angle. is formed by one side of a triangle and the extension of another side . (i.e. . . 1 ).. The interior angles of the triangle not adjacent to a given exterior angle are called the . diameter. chord. radius. Circumference. the distance around the circle. 1. 2. 3. Sum of Central Angles. Central Angle: center of the circle is the vertex and two radii of the circle are its sides. A. Drawings 1 - 2. #1. Perpendicular to a line. #2. Skew lines and transversal. Drawings 3 - 4. #3. Parallel lines and transversal. #4. Marking congruent angles. Drawings 5 - 6. #5. Acute angles. #6. Obtuse angles. Nicole Scicutella. Goals. Students will develop an understanding of the pythagorean theorem using jelly beans. Students will have a visual understanding of area reflects on pythagorean theorem. OBJECTIVES. The Pythagorean Theorem. In words:. As an equation:. Pythagorean Triples. A set of nonzero whole numbers a, b, and c that satisfy the equation . is called a Pythagorean triple. Example: 3, 4, 5 or 8, 15, 17. Constructing Triangles. Common Core 7.G.2. Vocabulary. Uniquely defined. Ambiguously defined. Nonexistent. Triangle Inequality Theorem. Let’s review what we learned yesterday with this video. . http://. 2. B. 2 . = C. 2. THE PYTHAGOREAN THEOREM. LEG A. LEG B. HYPOTENUSE. PARTS OF A RIGHT TRIANGLE. THE PYTHAGOREAN THEOREM. DIAGONALS. SIDES. PARTS OF A RECTANGLE. OR SQUARE. SIDES. NOTICE TWO RIGHT TRIANGLES FORM A RECTANGLE. -Polygon. : a closed plane figure with at least 3 sides that are segments that only intersect at their endpoints where no adjacent sides are collinear. -Regular Polygon. : . a polygon that is both equilateral and . 10/28 with practice on 10/29. I . can . name and classify . a polygon given the number of . sides and vertices.. I can find the interior angles of a polygon using the Polygon Angle Sum . Theorem. I can find the exterior angle of a polygon using the Polygon Exterior Angle Sum Theorem. .. . OR. . . a. 2. + b. 2. = c. 2. c. a. b. leg. leg. hypotenuse. Pythagorean Triples. A set of nonzero whole numbers a, b, and c that satisfy the equation a. 2. + b. 2. = c. 2. Here are some common ones to remember:. 4. quadrilateral . 5. pentagon. 6. hexagon. 7. heptagon. 8. octagon. 9. nonagon. 10. decagon. 11. undecagon. 12. dodecagon. 6.1 . Angles of Polygons. Then/Now. You named and classified polygons. . Find and use the sum of the measures of the interior angles of a polygon..