World of triangles   ok12965430821296617954
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    World of triangles   ok12965430821296617954 World of triangles ok12965430821296617954 Presentation Transcript

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