The World of Triangles
Dive into the realm of triangles, from basic properties like sides and angles to the classification into acute, obtuse, right, scalene, isosceles, equilateral, and equiangular triangles. Discover concepts like congruence, the Pythagorean theorem, and the significance of the hypotenuse in right triangles. Unveil the beauty and symmetry of these geometric shapes through engaging visuals and explanations.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. Download presentation by click this link. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
E N D
Presentation Transcript
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, a2+b2=c2.
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) pr2 B) (a+b)2/2=c C) a2+b2=c2 Answer: C) a2+b2=c2
Question 11 Use the Pythagorean Theorem to solve the following: a = 5 b = 12 c = ? Answer: c = 13
This powerpoint was kindly donated to www.worldofteaching.com http://www.worldofteaching.com is home to over a thousand powerpoints submitted by teachers. This is a completely free site and requires no registration. Please visit and I hope it will help in your teaching.
