4 2 Study Guide And Intervention Angles Of Triangles

4 2 Study Guide And Intervention Angles Of Triangles Unformatted text preview 4 2 Study Guide and Intervention continued Angles of Triangles Exterior Angle Theorem At each vertex of a triangle the angle formed by one side and an extension of the other side is called an exterior angle of the triangle

NAME DATE PERIOD 4 3 Study Guide and Intervention continued Congruent Triangles Prove Triangles Congruent Two triangles are congruent if and only if their corresponding parts are congruent Corresponding parts include corresponding angles and corresponding sides Angles for exterior DCB Exterior Angle The measure of an exterior angle of a triangle is equal to Theorem the sum of the measures of the two remote interior angles m 1 m A m B C A B D 1 Study Guide and Intervention continued Angles of Triangles NAME DATE PERIOD 4 2 Find m 1 m 1 m R m S Exterior Angle Theorem 60 80

Lesson with one Study Guide and Intervention and Practice worksheet for every lesson in Glencoe Math Connects Course 2 Always keep your workbook handy Along with your textbook daily homework and class notes the completed Study Guide and Intervention and Practice Workbookcan help you review for quizzes and tests

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4 2 Study Guide And Intervention Angles Of Triangles

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4 2 Study Guide and Intervention Angles of Triangles Triangle Angle Sum Theorem If the measures of two angles of a triangle are known the measure of the third angle can always be found Triangle Angle Sum Theorem The sum of the measures of the angles of a triangle is 180 In the figure at the right m A m B m C 180 Example 1 Find m T

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Study Guide and Intervention Angles of Triangles NAME DATE PERIOD 4 2 Angle Sum TheoremIf the measures of two angles of a triangle are known the measure of the third angle can always be found Angle SumThe sum of the measures of the angles of a triangle is 180

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4 6 Study Guide and Intervention PERIOD continued Isosceles and Equilateral Triangles Properties of Equilateral Triangles An equilateral triangle has three congruent sides The Isosceles Triangle Theorem leads to two corollaries about equilateral triangles A triangle is equilateral if and only if it is equiangular

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Study Guide and Intervention Angle Measure NAME DATE PERIOD 1 4 Measure AnglesIf two noncollinear rays have a common endpoint they form an angle The rays are the sides of the angle The common endpoint is the vertex The angle at the right can be named as A BAC CAB or 1

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Study Guide and Intervention continued Angles of Triangles The measure of an exterior angle of a triangle is equal to Theorem the sum of the measures of the two remote interior angles m 1 5 m A 1 m B C A B D 1 Find m 1 m 1 5 m R 1 m S Exterior Angle Theorem 5 60 1 80 Substitution

To the StudentThis Study Guide and Intervention and Practice Workbookgives you additional examples and problems for the concept exercises in each lesson The exercises are designed to aid your study of mathematics by reinforcing important mathematical skills 4 5 Study Guide and Intervention Proving Triangles Congruent ASA AAS ASA Postulate The Angle Side Angle ASA Postulate lets you show that two triangles are congruent ASA Postulate If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle then the triangles are congruent Example

Study Guide and Intervention Classifying Triangles Classify Triangles by Angles One way to classify a triangle is by the measures of its angles If all threeof the angles of a triangle are acute angles then the triangle is an acute triangle If all threeangles of an acute triangle are congruent then the triangle is an equiangular triangle