[PPT]The World Of Triangles - Jefferson County Public...
Transcript of [PPT]The World Of Triangles - Jefferson County Public...
![Page 1: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/1.jpg)
SPI 3108.4.3 Identify, describe and/or apply the relationships and
theorems involving different types of triangles, quadrilaterals and other
polygons.
![Page 2: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/2.jpg)
A triangle is a figure formed by three noncollinear points connected by three segments. All triangles can be classified by it’s side and by it’s angle.
C
A B
a
b
c
![Page 3: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/3.jpg)
An acute triangle is a triangle with all acute angles. An acute triangle has three angles each less than 90 degrees.
80
50 50
![Page 4: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/4.jpg)
An obtuse triangle is a triangle with one obtuse angle (greater than 90 degrees) and two acute angles.
11030
40
![Page 5: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/5.jpg)
A right triangle is a triangle with one right angle (equal to 90 degrees) and two acute angles.
90
45
45
![Page 6: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/6.jpg)
A scale triangle is a triangle with three unequal sides.
12 9
18
![Page 7: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/7.jpg)
An isosceles triangle is a triangle with (at least) two equal sides.
12
14 14
![Page 8: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/8.jpg)
The Isosceles Triangle Theorem states if two sides of a triangle are congruent, then the angles opposite those sides are congruent.
12
14 14
![Page 9: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/9.jpg)
An equilateral triangle is a triangle with all three sides of equal length. Since all three sides are equal; therefore, all three angles are equal also.
![Page 10: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/10.jpg)
A right triangle has two legs and an hypotenuse. The hypotenuse is the side opposite of the right angle. The other two sides are called legs.
Leg
Leg
Hypotenuse
![Page 11: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/11.jpg)
For a right triangle with legs a and b and hypotenuse c, a2
+ b2 = c2. ca
b
![Page 12: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/12.jpg)
Please complete the following quiz that covers the information that was just presented to you.
![Page 13: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/13.jpg)
If a triangle has three unequal sides it is a ______ triangle. A) Scalene B) Obtuse C) Isosceles
Answer: A) Scalene
![Page 14: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/14.jpg)
A triangle with (at least) two equal sides is a ______ triangle. A) Scalene B) Isosceles C) Congruent
Answer: B) Isosceles
![Page 15: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/15.jpg)
A triangle with all three sides of equal length is a ______ triangle. A) Equilateral B) Right C) Equiangular
Answer: A) Equilateral
![Page 16: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/16.jpg)
A triangle with an angle of 90° is a ______ triangle. A) Acute B) Right C) Congruent
Answer: B) Right
![Page 17: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/17.jpg)
A triangle in which all three angles are less than 90° is a ______ triangle. A) Right B) Acute C) Scalene
Answer: B) Acute
![Page 18: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/18.jpg)
A triangle in which one of the angles is greater than 90° is a ______ triangle. A) Obtuse B) Isosceles C) Acute
Answer: A) Obtuse
![Page 19: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/19.jpg)
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.
![Page 20: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/20.jpg)
The Pythagorean Theorem states … A) r2
B) (a+b)2/2=c C) a2+b2=c2
Answer: C) a2+b2=c2
![Page 21: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/21.jpg)
Use the Pythagorean Theorem to solve the following: a = 5 b = 12 c = ?
Answer: c = 13
![Page 22: [PPT]The World Of Triangles - Jefferson County Public Schoolsarchive.jc-schools.net/dynamic/math/ppt/Triangle_Review.ppt · Web viewTitle The World Of Triangles Author its Last modified](https://reader036.fdocuments.net/reader036/viewer/2022081605/5ab09a077f8b9ac66c8b7376/html5/thumbnails/22.jpg)
Use the Pythagorean Theorem to solve the following: a = ? b = 16 c = 20
Answer: a = 12