Inside angles theorem.

Slides:



Advertisements
Similar presentations
Warm Up Determine the measure of the missing interior angle. What type of triangle is it? Unit 8 - Lesson 2 Exterior Angles of a Triangle.
Advertisements

CH 4.7 USE ISOSCELES AND EQUILATERAL TRIANGLES. In this section… We will use the facts that we know about isosceles and equilateral triangles to solve.
Just for fun… do these (on the back of your warm up) 1.Name 2 pair of alternate interior angles  5 &  3 and  4 &  1 2.What is the sum of m  1 + m.
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.
4.2 Angles of Triangles Objectives: *Apply the Angle Sum Theorem.
Applying Triangle Sum Properties
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
Lesson 3-2: Isosceles Triangle
Adapted from Walch Education Isosceles triangles have at least two congruent sides, called legs. The angle created by the intersection of the legs is.
Triangles Isosceles & Fundamentals
Warm-Up Find the value of x. x x - 3. GEOMETRY 4-8 Isosceles and Equilateral Triangles.
4-6 Isosceles & Equilateral Triangles
Classifying Triangles Angle Measures of Triangles.
Triangles 11.2.
11/18/09 Do Now Have your homework out on your desk. Find all of the angle measures below.
5-6 Inequalities in One Triangle
Warmup – grab a book Room , submit answers for x and y.
Isosceles Triangles. If 2 sides are congruent The angles opposite those sides are congruent.
Triangles and Lines – Sum of the Angles in a Triangle The sum of the angles in any triangle = 180°
Angles of Triangles Chapter 4, Section 2. Angle Sum Theorem The sum of angles in a triangle is 180 o
Classify triangles by sides No congruent sides Scalene triangle At least two sides congruent Isosceles triangle Three congruent sides Equilateral triangle.
Goal, to classify triangles by their sides and by their angles.
Warm-Up x + 2 3x - 6 What is the value of x?. Geometry 3-3 Proving Lines Parallel.
Triangle Sum Theorem The sum of the angle measures in a triangle is 180 degrees.
Triangle Sum Theorem & Exterior Angle Theorem
Triangles and Lines – Angles and Lines When two lines intersect they create angles. Some special relationships occur when the lines have properties such.
4.3 ISOSCELES AND EQUILATERAL TRIANGLES. VOCABULARY Two angles of an isosceles triangle are always congruent. These are the angles opposite the congruent.
Lesson 5.2 Polygon Exterior Angle Sum HOMEWORK: 5.2/ 1-10.
Triangles and Angles Classifying Triangles. Triangle Classification by Sides Equilateral 3 congruent sides Isosceles 2 congruent sides Scalene No congruent.
Triangle Theorems. Warm-Ups 1.What do you think is going well with this class? 2.What is your favorite part of the class? 3.What do you wish was different.
Analyzing Isosceles Triangles Chapter 4, Section 6.
Triangles Chapter What is the sum of the angles inside a triangle? 180º? Prove it m Given A B C Angle Addition Postulate/Definition of a Straight.
Triangles and Their Angles Geometry – Section 4.1.
 Scalene Triangle No sides congruent  Isosceles Triangle Exactly 2 sides congruent  Equilateral Triangle All sides congruent.
Triangles.
Triangles.
Use isosceles and equilateral triangles
Use isosceles and equilateral triangles
Isosceles Triangles.
Angles of Triangles.
Measuring Angles in Triangles
Chapter 4: Congruent Triangles
Lesson 3-2: Isosceles Triangle
Date: Topic: Isosceles Triangle Theorem (6.1.C)
Geometry 4.1 Triangle and Angles.
Triangles Unit 3 Review Material
Lesson 4.6 Isosceles Triangles.
Isosceles & Equilateral Triangles
Properties of Triangles
Types of Triangles and Their Properties
Warm-up Find x a) b).
Warm-up Find x a) b).
Warm-up Find x a) b).
V L T The sum of the interior angles of a triangle is 180 degrees.
Warm Up Solve for x. x x + 1 = 90 4x + 2 = 90 4x = 88 x = 22.
Parallel Lines, Transversals, Base Angles & Exterior Angles
Use isosceles and equilateral triangles
Base Angles & Exterior Angles
Isosceles Triangles. Isosceles Triangles Base Angles If 2 angles in a triangle are congruent, then the sides opposite them are congruent.
Isosceles Triangles. Isosceles Triangles Base Angles If 2 angles in a triangle are congruent, then the sides opposite them are congruent.
3-3 Parallel Lines & the Triangle Angle Sum Theorem
Vertical Angles, Linear Pairs, Exterior Angles
Warmup! Use the figure at right to: 1. Name the set of parallel lines.
Triangles Teacher Twins©2014.
Triangles Teacher Twins©2014.
Equilateral TRIANGLES
Lesson 3-2 Isosceles Triangles.
3-4 Triangles.
Lesson 3-2 Isosceles Triangles.
Presentation transcript:

Inside angles theorem

All angles in a triangle sum up to 180˚

Examples:

Find the value for the missing angle:

Exterior angle theorem

Examples: 40⁰ 90⁰ 50⁰ 140⁰ = 50⁰ + 90⁰ 90⁰ = 50⁰ + 40⁰

Examples: 120⁰ = 35⁰ + 85⁰ 85⁰ 35⁰ 60⁰ 145⁰ = 85⁰ + 60⁰ 95⁰ = 35⁰ + 60⁰

Find the value for the indicated angle

Isosceles triangle theorem

If two sides of a triangle are congruent, then the angles opposite to those sides are congruent.

Examples

Find the value OF X: 2x+5 65˚ 83˚ X˚

Find the value of x: 103 m X 2X-10 90

For help with exterior angle theorem, copy the link and watch: https://www.youtube.com/watch?annotation_id=annotation_1632132577&feature=iv&src_vid=eoe8bpowBK4&v=S1C3Z9SbdG4 For help with the sum of the interior angles of a triangle, copy the link and watch: https://www.youtube.com/watch?v=EZ6dOlRQDBo