 4.1 Classifying Triangles. Example 1 Example 2.

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
Classifying Triangles
4.2: Measuring Angles in Triangles
4.2 Angles of Triangles Objectives: *Apply the Angle Sum Theorem.
 Classify each angle as acute, obtuse or right 90 o 72 o 116 o  How do we know that angle 1 and angle 2 are congruent? 1 2.
Applying Triangle Sum Properties
HOW TO FIND AN ANGLE MEASURE FOR A TRIANGLE WITH AN EXTENDED SIDE
Classifying Triangles Angle Measures of Triangles.
Chapter 4.1 Notes: Apply Triangle Sum Properties Goal: You will classify triangles and find measures of their angles.
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
Triangles and Angles Sec 4.1 GOALS: To classify triangles by their angles and sides To find missing angle measures in triangles.
Chapter 4.1 Notes: Apply Triangle Sum Properties
3.4 parallel Lines and the Triangle Angle-Sum Theorem
Section 3-4: Parallel Lines and the Triangle Angle-Sum Theorem.
ANGLES OF A TRIANGLE Section 4.2. Angles of a Triangle Interior angles  Original three angles of a triangle Exterior angles  Angles that are adjacent.
Objectives: Classify triangles and find the measures of their angles Use the exterior angles of triangles.
Wednesday, Oct. 3, 2012 No Mental Math. No TISK. Discuss Marvelous Shot problem. HW: p. 193 #14-19,
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 Exercises 1.90º 2. 72º Classify each angle as acute, obtuse, or right º 4. How do you know that 1 = 2? ~ 2 1.
4-1 Triangles and Angles. Theorem 4.1: Triangle Sum The sum of the measures of the interior angles of a triangle is 180 . xx yy zz  x +
Triangle Angle Sum Theorem, Triangle Exterior Angle Theorem
Section 3-3 Parallel Lines and the Triangle Angle-Sum Theorem.
Triangle Sum Properties
Geometry Section 4.1 Triangle Sum Theorem. A triangle is the figure formed by three line segments joining three noncollinear points. A B C.
Geometry Triangles. Vocabulary  Theorem 4-1 (angle sum theorem): The sum of the measures of the angles of a triangle is 180 In order to prove the angle.
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.
Angles of Triangles Angle Sum Theorem The sum of the measures of the angles of a triangle is 180 degrees. Third Angle Theorem If two angles of one triangle.
HONORS GEOMETRY 4.2. Angles of Triangles. Do Now: Classify the following triangles and then find x and ?.
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.
+ Angle Relationships in Triangles Geometry Farris 2015.
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.
3-4 Angles of a Triangle. A Triangle is a figure formed by three segments joining three noncollinear points. 1) Classifying triangles by their sides.
Classify These Triangles by Sides and Angles. Chapter 4 Congruent Triangles Section 4.1: Triangle Sum Properties Todays Objective: Determine if a right.
Geometry Section 4.1 Apply Triangle Sum Properties.
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.
Applying Triangle Sum Properties
CH. 4.1 APPLY TRIANGLE SUM PROPERTIES. VOCAB Interior Angles : angles inside the triangle (sum = 180) Exterior Angles: angles outside the triangle Interior.
4.1: Apply Triangle Sum Properties
Triangle Angle Sum Theorem, Triangle Exterior Angle Theorem
Angles of Triangles.
Week 3 Warm Up State the number of sides: 1) Trapezoid
Section 4-1 Triangles and Angles.
Chapter 4: Congruent Triangles
Name the type of triangle shown below.
WARM UP What is the sum of the angle measures of each triangle?
Angles of Triangles 4.2.
Exterior Angles of Triangles
Notecards Unit 4 Triangle Properties.
Section 3-4 Angles of a Triangle.
Types of Triangles and Their Properties
Warmup Triangle Sum Theorem – if you add up the measures of all interior angles of any triangle, you will get 180⁰ For each triangle, find the measure.
Chapter 4 Section 4.1 – Part 1 Triangles and Angles.
Lesson 3: Parallel Lines and the Triangle Angle-Sum Theorem
Warm-up Find x a) b).
Objectives -triangle names -remote interior -exterior
Classifying Triangles by ANGLES
Exterior Angles of Triangles
V L T The sum of the interior angles of a triangle is 180 degrees.
Base Angles & Exterior Angles
Warm UP March 10, 2014 Classify each triangle by its angles and by its sides. 45° E F G 60° A B C.
Exterior Angle Theorem
3-3 Parallel Lines & the Triangle Angle Sum Theorem
Classifying Triangles
4.1 – Apply triangle sum properties
3-4 Triangles.
Presentation transcript:

 4.1 Classifying Triangles

Example 1

Example 2

Example 3

You Try It…

4.2 Angle Measures of Triangles

Triangle Sum Theorem  The sum of the measures of the angles in a triangle is 180 degrees.

Example 1

Corollary to Triangle Sum Theorem The acute angles of a right triangle are complementary.

Vocabulary

Exterior Angle Theorem The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles.

Example 2

You Try It… Find the measure of the exterior angle:

A little bit trickier now..