We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!
Presentation is loading. Please wait.
Published byBrandon Phelps
Modified over 4 years ago
Section 3-4: Parallel Lines and the Triangle Angle-Sum Theorem
Objectives To classify triangles and find the measures of their angles. To use exterior angles of triangles.
Vocabulary Acute Triangle Right Triangle Obtuse Triangle Equiangular Triangle Equilateral Triangle Isosceles Triangle Scalene Triangle Exterior Angle of a Polygon Remote Interior Angles
Theorem 3-12: “Triangle Angle-Sum Theorem” The sum of the measures of the angles of a triangle is 180º
Applying the Triangle Angle-Sum Theorem Find the values of the variables.
Classification of Triangles According to Angles Acute- All three angles are acute. Right- One angle is a right angle. Obtuse- One angle is an obtuse angle. Equiangular- All three angles are equal
Classification of Triangles According to Sides Equilateral- All three sides are congruent. Isosceles- At least two sides are congruent. Scalene- No sides are congruent.
Classifying Triangles Classify the triangle according to both its sides and angles. 6 11 10
Exterior Angle of a Polygon An exterior angle of a polygon is an angle formed by a side and an extension of an adjacent side. Exterior Angle
Remote Interior Angles For each exterior angle of a triangle, the two non-adjacent interior angles are its remote interior angles. Exterior Angle Remote Interior Angles
Theorem 3-13: “Triangle Exterior Angle Theorem” The measure of each exterior angle of a triangle equals the sum of its two remote interior angles.
Using the Triangle Exterior Angle Theorem Find each angle measure:
3.5 Parallel Lines and Triangles
Parallel Lines and the Triangle Angle-Sum Theorem
DO NOW 1) X = 180 2) 55 + X = 180 3) X + 58 = 90 4) 31 + X = 90.
3-5 Parallel Lines and Triangles
3-5 Parallel Lines and Triangles. Classification by Sides (NOT in the book!) Equilateral TriangleIsosceles Triangle Scalene Triangle 3 congruent sides2.
Blue – 2/23/2015 Gold – 2/24/ Name 2 pair of alternate interior angles 5 & 3 and 4 & 1 2. What is the sum of m 1 + m 2 + m 3? 180°
Applying Triangle Sum Properties
Triangles 1 The Basics. 2 Naming Triangles For example, we can call the following triangle: Triangles are named by using its vertices. ∆ABC∆BAC ∆CAB∆CBA∆BCA.
Lesson 3: (3.4) Parallel Lines and the Triangle Angle-Sum Theorem
Classify Triangles Standard 4C.
Chapter 4 Congruent Triangles. 4.1 & 4.6 Triangles and Angles Triangle: a figure formed by three segments joining three noncollinear points. Classification.
3.4 & 4.5 Triangles.
Section 4.1 Classifying Triangles
Geometry. Kinds of triangles Geometry Kinds of triangles.
Classifying Triangles Angle Measures of Triangles.
6-1: Congruent Figures, Classifying Triangles, and Related Theorems
When six students and two adults saw a movie, the total ticket cost was $50. Adult tickets cost twice as much as student tickets. Which number sentence.
© 2020 SlidePlayer.com Inc. All rights reserved.