'Remote interior angles' presentation slideshows

Classify the triangle by the angles and the sides.

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C H A P T E R 4 O B J E C T I V E S

C H A P T E R 4 O B J E C T I V E S Discover and explain sums of the measures of two and three interior angles of a triangle Discover properties of the base angles and the vertex angle bisector in isosceles triangles Discover inequalities among sides and angles in triangles

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Angles of Polygons

Angles of Polygons. Find the sum of the measures of the interior angles of a polygon Find the sum of the measures of the exterior angles of a polygon. This scallop resembles a 12-sided polygon with diagonals drawn from one of the vertices. SUM OF MEASURES OF INTERIOR ANGLES.

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Lesson 3-1

Triangle Fundamentals. Lesson 3-1. B. C. A. Naming Triangles. Triangles are named by using its vertices. For example, we can call the following triangle:. ?ABC. ?ACB. ?BAC. ?BCA. ?CAB. ?CBA. Opposite Sides and Angles. Opposite Sides:. Side opposite to ? A :.

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Lesson 4-1

Triangle Fundamentals. Lesson 4-1. B. C. A. Naming Triangles. A triangle is named by using its vertices. For example, we can call the following triangle:. ?ABC. ?ACB. ?BAC. ?BCA. ?CAB. ?CBA. Opposite Sides and Angles. Opposite Sides:. Side opposite to ? A :.

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Warm -up

1. 2. 60. 4x. 2x. x. X+15. Warm -up. Copy the pictures, find x and the measure of each angle. Front reflection: If 2 triangles have all corresponding angles congruent are the triangles congruent? Explain. 4.3 Triangle Inequalities. Year 2 Geometry Materials: Patty paper

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3.3 Parallel Lines and the Triangle Angle-Sum Theorem

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Unit 2

Triangles. Unit 2. Definition of Triangle. A geometric figure formed by three segments joining noncollinear points. B. C. A. Naming Triangles. Triangles are named by using its vertices. For example, we can call the following triangle:. ?ABC. ?ACB. ?BAC. ?BCA. ?CAB. ?CBA.

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5.2

5.2. Proving that Lines are Parallel. A. B. C. D. ? ACD is an exterior angle. ?A & ?B are remote interior angles. m ? ACD is greater than m ? A . m ? ACD is greater than m ? B. 2. 1. 3. 4. 5. 6. 8. 7. ?1 ? ?2 PQ ? RS ?PQR ? ?RSP ?3 ? ?4 QR ? PS

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Chapter 4 Section 3

Chapter 4 Section 3. Exploring Congruent Triangles. Warm-Up. P. K. B. 1) Find m<ACB 2) Find m<CLK 3) Find m<CBP 4) Which two angles are the remote interior angles for <MLK? 5) Find m<BCK 6) Find m<MLK. 42. 42. 70. 70. A. C. L. M. Warm-Up. P. K. B. 1) Find m<ACB

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Triangle Inequalities (Textbook Lesson 5.5)

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Triangle Inequalities (Textbook Lesson 5.5)

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The Triangle Sum Theorem

The Triangle Sum Theorem. The Triangle Sum Theorem. The sum of the measures of the angles of a triangle are equal to 180 degrees. < 5 = < 3 and < 4= < 1 because alternate interior angles are congruent. Since <1+ < 2+ < 3=180 degrees then the sum of the interior angles is 180. 1. 3. 2. 4. 5.

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3.5 Parallel Lines and Triangles

3.5 Parallel Lines and Triangles. Parallel Postulate Through a point not on a line, there is one and only one line parallel to the given line. Triangle Angle-Sum Theorem. The sum of the measures of the angles of a triangle is 180. Using the Triangle Angle-Sum Theorem.

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Understanding Geometric Terms & Their Applications

NAME. The Unit Organizer. 4. BIGGER PICTURE. DATE. Geometry. NEXT UNIT. /Experience. LAST UNIT. /Experience. Slopes & Applications of Linear Functions. 2. 3. CURRENT UNIT. 1. Geometry. Consumer Mathematics. 8. UNIT SCHEDULE. UNIT MAP. is about. 5. 6.1. Understanding

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