the world of triangles mohamed attia mohamed copyrigh.mohamedattia120002005.blogspot.com
TRANSCRIPT
The World Of Triangles
Mohamed Attia Mohamed
copyrigh.mohamedattia120002005.blogspot.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°.
copyrigh.mohamedattia120002005.blogspot.com
Acute Triangles
A triangle in which all three angles are less than 90°.
copyrigh.mohamedattia120002005.blogspot.com
Obtuse Triangles
An obtuse triangle is a triangle in which one of the angles is greater than 90°.
copyrigh.mohamedattia120002005.blogspot.com
Right Triangles
A right triangle is triangle with an angle of 90°.
copyrigh.mohamedattia120002005.blogspot.com
Scalene Triangles
A triangle with three unequal sides.
copyrigh.mohamedattia120002005.blogspot.com
Isosceles Triangles
An isosceles triangle is a triangle with (at least) two equal sides.
copyrigh.mohamedattia120002005.blogspot.com
Isosceles Triangle Theorem
The following movie shows that if two sides of a triangle are congruent, then the angles opposite those sides are congruent.
copyrigh.mohamedattia120002005.blogspot.com
Equilateral Triangles
An equilateral triangle is a triangle with all three sides of equal length.
copyrigh.mohamedattia120002005.blogspot.com
Equiangular Triangles
An equiangular triangle is a triangle which has three equal angles.
copyrigh.mohamedattia120002005.blogspot.com
Congruent Triangles
Congruent triangles are triangles whose corresponding angles and sides are congruent.
They are exactly the same size and shape.
copyrigh.mohamedattia120002005.blogspot.com
The Hypotenuse
The hypotenuse of a right triangle is the triangle's longest side, i.e., the side opposite the right angle.
copyrigh.mohamedattia120002005.blogspot.com
The Pythagorean Theorem
For a right triangle with legs a and b and hypotenuse c, a2+b2=c2.
copyrigh.mohamedattia120002005.blogspot.com
Triangle Quiz
Please complete the following quiz that covers the information that was just presented to you.
copyrigh.mohamedattia120002005.blogspot.com
Question 1
If a triangle has three unequal sides it is a ______ triangle. A) Scalene B) Obtuse C) Isosceles
Answer: A) Scalene
copyrigh.mohamedattia120002005.blogspot.com
Question 2
A triangle which has three equal angles is a ______ triangle. A) Acute B) Equilateral C) Equiangular
Answer: C) Equiangular
copyrigh.mohamedattia120002005.blogspot.com
Question 3
A triangle with (at least) two equal sides is a ______ triangle. A) Scalene B) Isosceles C) Congruent
Answer: B) Isosceles
copyrigh.mohamedattia120002005.blogspot.com
Question 4
Two triangles that are equal are called ______ triangles A) Acute B) Obtuse C) Congruent
Answer: C) Congruent
copyrigh.mohamedattia120002005.blogspot.com
Question 5
A triangle with all three sides of equal length is a ______ triangle. A) Equilateral B) Right C) Equiangular
Answer: A) Equilateral
copyrigh.mohamedattia120002005.blogspot.com
Question 6
A triangle with an angle of 90° is a ______ triangle. A) Acute B) Right C) Congruent
Answer: B) Right
copyrigh.mohamedattia120002005.blogspot.com
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
copyrigh.mohamedattia120002005.blogspot.com
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
copyrigh.mohamedattia120002005.blogspot.com
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.
copyrigh.mohamedattia120002005.blogspot.com
Question 10
The Pythagorean Theorem states … A) pr2
B) (a+b)2/2=c C) a2+b2=c2
Answer: C) a2+b2=c2
copyrigh.mohamedattia120002005.blogspot.com
Question 11
Use the Pythagorean Theorem to solve the following: a = 5 b = 12 c = ?
Answer: c = 13
copyrigh.mohamedattia120002005.blogspot.com