PPT-Angles of a Triangle

Geometry Unit 4 Angles of A Triangle Content Objective Students will be able to identify the properties and classifications of specific triangles using them to solve problems Language Objective. 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. 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. 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 . Angles are ACUTE angles Angles equal to 90 are RIGHT angles Angle are OBTUSE angles Angles equal to 180 Angles more than 180 are REFLEX angles 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. Given circle of radius . r. , a radian is the measure of a central angle subtended by an arc length . s. equal to r. . The radian measure of an arbitrary angle. There are radians in a angle. Why? . 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:. To prove two triangles congruent using the SSS and SAS Postulates.. Side-Side-Side (SSS)Postulate. If 3 sides of one triangle are to 3 sides of another triangle, then the triangles are . . Hubarth. Geometry. 10.7 Measure . of an Inscribed Angle. .. C. A. B. D. Ex 1 Use Inscribed Angles. a.. m. . T.  . mQR. b.. Find the indicated measure in. . P. .. M T = . mRS. =. . 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. SPLITTER. Janelle & . Kamraan. . were working on their . hw. together. .. For the diagram at right, . Kamraan. wrote the equation. . ..   Is his equation correct?  Explain.  If needed, revise his equation, and then solve for . Sides = 3 , Vertices = 3 , Angles = 3. Triangle. Sides = 4 , Vertices = 4 , Angles = 4. Quadrilateral. All quadrilaterals : have 2 pairs of . Equal. & . Parallel. . sides. Except. . Trapezoid. Geometry. 5.1 Angles of Triangles. Essential Question. How are the angle measures of a triangle related?. 5.1 Angles of Triangles. November 21, 2016. 5.1 Angles of Triangles. November 21, 2016. Goals – .