PPT-4-3 A Right Angle Theorem

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. Holt Geometry. Warm Up. Lesson Presentation. Lesson Quiz. Warm Up. Construct each of the following.. 1.. . A perpendicular bisector.. 2.. An angle bisector.. 3.. Find the midpoint and slope of the segment . 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. 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. 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. 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. Theorem. 6.13. If a tangent. and a chord intersect at a point on the circle, then the measure of each angle formed is one half the measure of its intercepted arc.. http://demonstrations.wolfram.com/TangentChordAngle/. Grade 9 Math. Discovering Circle Theorems. E6 . Recognize, name, describe and represent: arcs, chords, tangents, central angles, . i. nscribed angles and circumscribed angles. Make generalizations about their relationships in circles. . Using properties of perpendicular bisectors and angle bisectors. Perpendicular bisectors. What do we know about the right triangles formed when we draw an isosceles triangle that has a bisector of its vertex angle?. 5.6 Instruction. TEST MONDAY!. Warm-up:. Sketch an angle bisector. . CCSS. 5.6 . Inequalities in . Two Triangles.  . Objective:. Apply the Hinge Theorem or its converse to make comparisons in two triangles.. .. . 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:. 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:.