~Write one sentence explaining what answer you chose. ~Write one sentence explaining what answers you were able to eliminate.

Slides:

Advertisements

Similar presentations

Triangles TOPIC 9 LESSON 9-5.

Advertisements

MM1G3b -Understand and use the triangle inequality, the side-angle inequality, and the exterior angle inequality.

Triangles and Quadrilaterals

Draw the following: 1. acute triangle 2.right triangle 3.obtuse triangle 4. acute, scalene triangle 5.obtuse, isosceles triangle 6. right, scalene.

Triangles. A triangle is a polygon with three sides.

Bell Work Find the measure of the missing variables and state what type of angle relationship they have(alt. interior, alt. ext, same side interior, corresponding).

Warm Up 1. Find the perimeter of a rectangle with side lengths 12 ft and 20 ft. 3. Find the area of a parallelogram with height 9 in. and base length.

Introduction to Triangles

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.

 Acute angles are < 90 0  Obtuse angles are > 90 0  Right angles are = 90 0  Supplementary angles total to  Complementary angles total to.

Classify Triangles Standard 4C.

Geometry Quadrilaterals. Geometry: Plane Shapes quadrilateral: any closed, four-sided shape.

TRIANGLES (There are three sides to every story!).

Geometry. Kinds of triangles Geometry Kinds 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.

The World Of Triangles. Triangles A triangle is a 3- sided polygon. Every triangle has three sides and three angles. When added together, the three angles.

- Four sides - Four angles - Four vertices  - The diagonals are equal in length and perpendicular and bisect each other.

Triangles Part 1 The sum of the angles in a triangle is always equal to: 180°

Triangle Fundamentals

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.

Triangle A polygon with three sides and three angles. A triangle can be names by its’ side lengths and angles. – Side lengths: isosceles, equilateral,

Triangle Classification. Objectives Classify triangles by their angle and side measures Find the sum of the measure of the interior and exterior angles.

Classify triangles by sides No congruent sides Scalene triangle At least two sides congruent Isosceles triangle Three congruent sides Equilateral triangle.

Basic Geometry Review-Shapes and Angles. Review Topics Squares Triangles Rectangles Polygons Obtuse Angle Acute Angle Right Angle Finished?

Goal, to classify triangles by their sides and by their angles.

Types of Triangles and Quadrilaterals “I can draw and label 2-D figures.”

TRIANGLES AND TYPES OF TRIANGLES. A triangle has three sides.

Bell Work Find the measure of the missing variables and state what type of angle relationship they have(alt. interior, alt. ext, same side interior, corresponding).

4.7 Triangle Inequalities. Theorem 4.10 If one side of a triangle is longer than another side, then the angle opposite the longer side is larger than.

Chapter 4 Section 4.1 Section 4.2 Section 4.3. Section 4.1 Angle Sum Conjecture The sum of the interior angles of a triangle add to 180.

Geometry. Line segment ray line Right angle Acute angle.

Lesson 5.5 Use Inequalities in a Triangle. Theorem 5.10 A B C 8 5 IF AB > BC, THEN C > A The angle opposite the longest side is the largest angle; pattern.

Time for Triangles. What is a triangle? A triangle is a polygon. It has 3 sides and 3 angles. It can also be called a trigon.

Triangles and Angles Classifying Triangles. Triangle Classification by Sides Equilateral 3 congruent sides Isosceles 2 congruent sides Scalene No congruent.

9-3: Classifying Polygons Logic Activity. I am a trapezoid I have two angles that each measure 45˚ I have two other angles that each measure 135˚ #1)

Scalene triangle: A scalene triangle is a triangle that has no equal sides. The following is a scalene triangle.

3.4.  The sum of the measures of the angles of a triangle is 180.

Triangles The sum of the measures of the angles of a triangle is 180 degrees. m A + m B + m C = 180 o A BC An angle formed by a side and an extension.

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.

4-1 Classifying Triangles SWBAT: Identify and classify triangles by angle measures and side measures. G.6.

Classify These Triangles by Sides and Angles. Chapter 4 Congruent Triangles Section 4.1: Triangle Sum Properties Todays Objective: Determine if a right.

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.

Triangles and Quadrilaterals

Introduction to Triangles

Geometry 4.1 Triangle and Angles.

Angles of Triangles 4.2.

Triangles Unit 3 Review Material

Section 3-4 Angles of a Triangle.

Chapter 4: Congruent Triangles

Triangles A polygon with 3 sides.

Triangles and Quadrilaterals

Lesson 3: Parallel Lines and the Triangle Angle-Sum Theorem

Quadrilaterals TeacherTwins©2014.

Exploring Polygons.

Objective - To classify triangles.

Classifying Triangles

Area Formula of a Square?

Lesson 5-1 Angles of Triangles.

Triangle Fundamentals

Identify type of triangle

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.

3-3 Parallel Lines & the Triangle Angle Sum Theorem

Presentation transcript:

~Write one sentence explaining what answer you chose. ~Write one sentence explaining what answers you were able to eliminate.

 The word polygon means many (poly) angles (gon). This includes triangles, squares, rectangles, trapezoids, parallelograms, etc…  To determine the sum of the interior angles of any polygon, use the formula: (n – 2)180; n represent the number of angles within the polygon. (3-2) (4-2) (5-2)

 Scalene triangles have no sides and no angles that equal one another.

 Isosceles Triangles have two sides and two angles that equal one another.

 Equilateral Triangles have all the sides and all the angles equal to one another.

 Right triangles have one right angle.

 Obtuse triangles have one obtuse angle.

 Acute triangles have all acute angles.

 In a triangle, angles correspond to opposite sides. The bigger the angle, the bigger the side.

Obtuse Scalene Right Scalene Acute Scalene Right Isosceles Acute IsoscelesObtuse IsoscelesAcute Equilateral

BC is the largest AC is in the middle AB is the smallest All sides are the same AB is the largest AC = BC

Remote Interior AnglesExterior Angle Theorem  Remote Interior Angles are the two angles inside of a triangle that are opposite of the exterior angle.  ∠x and ∠y are remote interior angles.  Exterior Angle Theorem says that the sum of the two remote interior angles equal the exterior angle.  ∠x + ∠y = ∠w

 Triangle Inequality Theorem: the sum of any two sides of a triangle is greater than the third side. ∠A + ∠B > ∠C ∠A + ∠C > ∠B ∠B + ∠C > ∠A > > > 5

 Below is a triangle. What are the possibilities of the value of x? > x (x can’t be greater than 17) x + 10 > 8 (x can’t be smaller than 0) x + 8 > 10 (x cant be smaller than 3) x therefore can be any number between 3 and 17.

 Below is a triangle. What is the value of x? 2x + 3x = 100 5x = 100 x = 20

 Below is a triangle. What are the measures of angles 1 and 2? ∠2 = ∠2 = 72 ∠1 + ∠2 = 180 ∠ = 180 ∠1 = 108

 Below is a triangle. What is the measure of ∠a? 180(n-2) 180(3-2) 180(1) 180 ∠a = 180 ∠a + 93 = 180 ∠a = 87