3-5 Parallel Lines and Triangles I can apply the triangle angle sum theorem to find the values of variables. I can apply the exterior angle theorem to.

Slides:



Advertisements
Similar presentations
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.
Advertisements

3.5 Parallel Lines and Triangles
Parallel Lines and the Triangle Angle-Sum Theorem
4.2 Angles of Triangles Objectives: *Apply the Angle Sum Theorem.
An exterior angle is outside the triangle and next to one of the sides. 4-2 Exterior Angle Theorem.
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.
4-2 Angles of Triangles Objectives: The student will be able to: 1. Apply the Triangle-Sum Theorem. 2. Apply the Exterior Angle Theorem.
HOW TO FIND AN ANGLE MEASURE FOR A TRIANGLE WITH AN EXTENDED SIDE
Chapter 4: Triangle Congruence Missy McCarthy Okemos High School Math Instructor.
3.4 & 4.5 Triangles.
Review: Classifying Triangles and The Triangle Angle Sum Theorem
Triangles and Lines – Sum of the Angles in a Triangle The sum of the angles in any triangle = 180°
3.4 parallel Lines and the Triangle Angle-Sum Theorem
3-3 Parallel Lines & the Triangle Angle Sum Theorem M11.B B Objectives: 1) To classify triangles and find the measures of their angles. 2) To.
Section 3-4: Parallel Lines and the Triangle Angle-Sum Theorem.
Objectives: Classify triangles and find the measures of their angles Use the exterior angles of triangles.
Warm up 1.Name 2 pair of alternate interior angles
Triangle Angle Sum Theorem, Triangle Exterior Angle Theorem
Section 3-3 Parallel Lines and the Triangle Angle-Sum Theorem.
3-4 Parallel Lines and the Triangle Angle-Sum Theorem Objectives: 1) to classify triangles and find the measures of their angles 2) To use exterior angles.
I can use theorems, postulates and/or definitions to prove theorems about triangles including: measures of interior angles of a triangle sum to 180 degrees.
3 – 2 Ditto; HW Answers 8)x = 43 9)x = 90 10)x = 38 11)x = )x = 70 13) x = 48.
Lesson 5.2 Polygon Exterior Angle Sum HOMEWORK: 5.2/ 1-10.
Lesson 3.3 Classifying Triangles & Triangle Angle-Sum Theorem Do Now: Find the measure of angle and x+12 are complementary. 62+x+12 = 90 degrees.
 4.1 Classifying Triangles. Example 1 Example 2.
3.5 Parallel Lines and Triangles
Triangles and Angles Classifying Triangles. Triangle Classification by Sides Equilateral 3 congruent sides Isosceles 2 congruent sides Scalene No congruent.
Parallel Lines and Triangles Chapter 3 Section 5.
Warm Ups Classify each angle Classify each angle Solve Each Equation x= x+105= x + 58 = x = 90.
Chapter 3 Lesson 3 Objective: To use exterior angles of triangles.
3.4.  The sum of the measures of the angles of a triangle is 180.
PARALLEL LINES AND TRIANGLES WEDNESDAY OCTOBER 29.
+ Angle Relationships in Triangles Geometry Farris 2015.
4.1 Triangle Angle Sum and Properties. How many degrees in a triangle? The sum of the angles in any triangle is exactly 180 degrees.
4.2 Angles of Triangles Then: You classified triangle by their side or angle measures. Now: 1. Apply the Triangle Angle-Sum Theorem. 2. Apply the Exterior.
Triangle Angle Sum Theorem, Triangle Exterior Angle Theorem
Exterior Angle Theorem Parallel Lines Cut by a Transversal
Section 3-5 Parallel lines and Triangles.
Angles of Triangles.
Measuring Angles in Triangles
Section 4-1 Triangles and Angles.
Name the type of triangle shown below.
3.2- Angles formed by parallel lines and transversals
Geometry 4.1 Triangle and Angles.
3.5 Parallel lines and Triangles
Angles of Triangles 4.2.
Exterior Angles of Triangles
3-3 & 3-4 Parallel Lines & the Triangle Angle-Sum Theorem
Lesson 3: Parallel Lines and the Triangle Angle-Sum Theorem
Warm-up Find x a) b).
Exterior Angles of Triangles
Warm-up Find x a) b).
3.2- Angles formed by parallel lines and transversals
Warm-up Find x a) b).
L J M K (2x – 15)0 x0 500.
V L T The sum of the interior angles of a triangle is 180 degrees.
Triangle Theorems.
Base Angles & Exterior Angles
Drill 1) x = 180, solve for x 2) How many degrees do the interior angles of a triangle add up to. 3) What type of triangle has an angle that.
Isosceles Triangles. Isosceles Triangles Base Angles If 2 angles in a triangle are congruent, then the sides opposite them are congruent.
Converse Definition The statement obtained by reversing the hypothesis and conclusion of a conditional.
Isosceles Triangles. Isosceles Triangles Base Angles If 2 angles in a triangle are congruent, then the sides opposite them are congruent.
Exterior Angle Theorem
3-3 Parallel Lines & the Triangle Angle Sum Theorem
Vertical Angles, Linear Pairs, Exterior Angles
5.2-Inequalities and Triangles
3-4 Triangles.
Module 15: Lesson 1 Interior & Exterior Angles
Section 3-5 Parallel lines and Triangles.
Presentation transcript:

3-5 Parallel Lines and Triangles I can apply the triangle angle sum theorem to find the values of variables. I can apply the exterior angle theorem to find the values of variables.

Triangle Angle-Sum Theorem The sum of the three interior angles of a triangle is 180 degrees.

Practice 1.Find the value of x, y, and z.

Practice 2. Find the value of x and each angle. Classify the triangle by the angles.

Exterior and Remote Interior Angles

Triangle Exterior Angle Theorem

Practice

4. Solve for x.