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The World Of Triangles Free powerpoints at http://www.worldofteaching.comhttp://www.worldofteaching.com
Triangles A triangle is a 3- sided polygon. Every triangle has three sides and three angles. When added together, the three angles equal 180°.
Acute Triangles A triangle in which all three angles are less than 90°.
Obtuse Triangles An obtuse triangle is a triangle in which one of the angles is greater than 90°.
Right Triangles A right triangle is triangle with an angle of 90°.
Scalene Triangles A triangle with three unequal sides.
Isosceles Triangles An isosceles triangle is a triangle with (at least) two equal sides.
Isosceles Triangle Theorem The following movie shows that if two sides of a triangle are congruent, then the angles opposite those sides are congruent.
Equilateral Triangles An equilateral triangle is a triangle with all three sides of equal length.
Equiangular Triangles An equiangular triangle is a triangle which has three equal angles.
Congruent Triangles Congruent triangles are triangles whose corresponding angles and sides are congruent. They are exactly the same size and shape.
The Hypotenuse The hypotenuse of a right triangle is the triangle's longest side, i.e., the side opposite the right angle.
The Pythagorean Theorem For a right triangle with legs a and b and hypotenuse c, a 2 +b 2 =c 2.
Triangle Quiz Please complete the following quiz that covers the information that was just presented to you.
Question 1 If a triangle has three unequal sides it is a ______ triangle. A) Scalene B) Obtuse C) Isosceles Answer: A) Scalene
Question 2 A triangle which has three equal angles is a ______ triangle. A) Acute B) Equilateral C) Equiangular Answer: C) Equiangular
Question 3 A triangle with (at least) two equal sides is a ______ triangle. A) Scalene B) Isosceles C) Congruent Answer: B) Isosceles
Question 4 Two triangles that are equal are called ______ triangles A) Acute B) Obtuse C) Congruent Answer: C) Congruent
Question 5 A triangle with all three sides of equal length is a ______ triangle. A) Equilateral B) Right C) Equiangular Answer: A) Equilateral
Question 6 A triangle with an angle of 90° is a ______ triangle. A) Acute B) Right C) Congruent Answer: B) Right
Question 7 A triangle in which all three angles are less than 90° is a ______ triangle. A) Right B) Acute C) Scalene Answer: B) Acute
Question 8 A triangle in which one of the angles is greater than 90° is a ______ triangle. A) Obtuse B) Isosceles C) Acute Answer: A) Obtuse
Question 9 What is the Hypotenuse of a right triangle? A) The smallest angle. B) The side opposite the right angle. C) The right angle. Answer: B) The side opposite the right angle.
Question 10 The Pythagorean Theorem states … A) r 2 B) (a+b) 2 /2=c C) a 2 +b 2 =c 2 Answer: C) a 2 +b 2 =c 2
Question 11 Use the Pythagorean Theorem to solve the following: a = 5 b = 12 c = ? Answer: c = 13
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.
The World Of Triangles Mohamed Attia Mohamed copyrigh.mohamedattia blogspot.com.
Sec 5.1 The World Of Triangles. Objectives---What we’ll learn… Identify triangles by angles (Acute, Right & Obtuse) Identify triangles by sides (Scalene,
Angles and their measurements. Degrees: Measuring Angles We measure the size of an angle using degrees. Example: Here are some examples of angles and.
SPI Identify, describe and/or apply the relationships and theorems involving different types of triangles, quadrilaterals and other polygons.
The World Of Triangles Juliána Melicherová University of Pavol Jozef Šafárik, Košice.
Triangle Song - YouTube Triangle Song - YouTube.
Classifying Triangles How many degrees can be found in all triangles? 180 We can classify triangles 2 ways: By their angles By their sides.
TRIANGLES CLASSIFICATIONS, ANGLES AND MORE!! Free powerpoints at
Triangle A polygon with three sides and three angles. A triangle can be names by its’ side lengths and angles. – Side lengths: isosceles, equilateral,
Triangles Report by Jennifer Johnson. What is a Triangle? A polygon Three sides Three angles.
1Geometry Lesson: Polygons, Triangles Aim: Do Now: 2) Which of the following shapes are polygons? e) a) b) c) d) f) What are polygons? How do we classify.
Classify Triangles Standard 4C. What is a Triangle? A triangle is a polygon with 3 sides. A triangle can be formed from three line segments if and only.
Triangles: Angle Sum & Classifying Triangles Tutorial 12b.
Scalene triangle: A scalene triangle is a triangle that has no equal sides. The following is a scalene triangle.
Find the value of x. 1. x + 2x + 3x = 180 6x = x + x + 40 = x + (x + 1) + 35 = x + 40 = 180 x = 70 3x + 36 = x = 48.
Classify triangles by sides No congruent sides Scalene triangle At least two sides congruent Isosceles triangle Three congruent sides Equilateral triangle.
Triangle Classification. Objectives Classify triangles by their angle and side measures Find the sum of the measure of the interior and exterior angles.
Angles and Triangles. Angles A shape formed by two rays sharing a common endpoint; contains two rays and a vertex ray vertex ray—has one endpoint and.
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 Classifying Triangles. What Is a Triangle? A triangle is a three-sided polygon. Sides: Vertices: G, E, and O Angles: EO G.
Wednesday, September 26, 2012 Homework: p. 185 #31, 34, 43 & 44 (36-42 mentally)
Classifying Triangles Students will classify triangles using the lengths of the sides and the angles. S. Calahan October 2010.
TRIANGLES AND TYPES OF TRIANGLES. A triangle has three sides.
4-1 Triangles and Angles. Theorem 4.1: Triangle Sum The sum of the measures of the interior angles of a triangle is 180 . xx yy zz x +
7/3/2015 Geometry 1 Classifying Triangles Free powerpoints at
Section 4.1 Classifying Triangles. Triangle – 3-sided polygon named using its 3 vertices Triangles are classified in two ways: sides and angles.
Triangles Review. Can you identify the type of triangles in each of the following photos? Classify each triangle by sides and angles.
Triangles and Their Angles Geometry – Section 4.1.
4.5 Isosceles and Equilateral Triangles. Isosceles Triangles At least two sides are of equal length. It also has two congruent angles. Base Angles Base.
TRIANGLES TOPIC 9 LESSON 9-5. Triangles can be classified by their sides. 3 equal sides equilateral triangle.
Lesson 8.3 Concept: How to classify triangles by their sides and angles. An equilateral triangle has three sides of the same length. An isosceles triangle.
They come in many shapes and sizes! 3 measure angles –Acute –Right –Obtuse 3 measure sides –Scalene –Isosceles –Equilateral There are 6 types of triangles.
Triangle – a three sided polygon (straight sides; closed) A B C 3 sides: 3 angles: 3 vertices: A, B, C.
EQUILATERAL & ISOSCELES Quiz tomorrow. CLASSIFY the triangle by ANGLES and SIDES Angles: acute, obtuse, right Sides:equilateral, isosceles, scalene 91.
Classifying Triangles. Two Ways to Classify Triangles By Their Sides By Their Angles.
Draw the following: 1. acute triangle 2.right triangle 3.obtuse triangle 4. acute, scalene triangle 5.obtuse, isosceles triangle 6. right, scalene.
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.
Triangle Inequality Notes. Triangle Inequality Theorem Scalene triangle: A triangle that has no congruent (equal) sides. None of their angles are congruent.
TRIANGLES AND TYPES OF TRIANGLES. What is a TRIANGLE ? A closed figure formed by joining three line segments is called a TRIANGLE.
4-1 Classifying Triangles Objectives: The student will be able to: 1. Identify and classify triangles by angle measures and side measures.
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Name the Angle in four different ways 1) Use the vertex and a point from each side. ABC or CBA The vertex letter is always in the middle. 2) Use the vertex.
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4.5 Even Answers. 4.6 Isosceles Triangles and Right Triangles Goal 1: How to use properties of isosceles triangles to solve problems Goal 2: How to use.
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4-6 Isosceles & Equilateral Triangles Objectives: The student should be able to: 1. Use properties of Isosceles triangles. 2. Use properties of Equilateral.
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