6.2 Review
Presentation
•
Mathematics
•
8th Grade
•
Medium
Standards-aligned
Heather Case
Used 2+ times
FREE Resource
4 Slides • 5 Questions
1
6.2 Review
The Converse of the Pythagorean Theorem
2
Using the converse of the Pythagorean Theorem
Is a triangle with sides 6, 8, and 12 a right triangle?
62 + 82 = 122
36 + 64 = 144
100 = 144
100 does not equal 144, therefore, it is NOT a right triangle.
3
Multiple Choice
Is a triangle with sides 6, 8, and 10 a right triangle?
No, because
6 + 8 ≠ 10
Yes, because
62 + 82 > 102
Yes, because
62 + 82 = 102
36 + 64 = 100
100 = 100
4
Multiple Choice
Is a triangle with sides 5, 8, and 12 a right triangle?
No, because
52 + 82 = 122
25 + 64 = 144
89 ≠ 144
Yes, because
52 + 82 < 122
No, because
5 + 8 ≠ 12
5
Pythagorean Triples
A set of positive integers that satisfies the Pythagorean Theorem, a2 + b2 = c2.
6
Multiple Select
Which of the following is a Pythagorean Triple? (Check all that apply)
(3, 4, 5)
(5, 12, 13)
(7, 8, 12)
(6, 8, 10)
(2, 3, 4)
7
Procedure to show the converse of the Pythagorean Theorem in action!
You are given sides 5 cm, 9 cm, 12 cm, and 13 cm.
Step 1: Determine which of these make a Pythagorean Triple.
**5, 12, and 13.
Step 2: Write a true statement using the Pythagorean Theorem and your side lengths. Describe in words as well.
** Since 52 + 122 = 132, you would draw the 5 cm side and the 12 cm side with a right angle between them. The 13 cm side will fit to form a right triangle.
8
Multiple Choice
Select the procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 3 feet, 4 feet, 5 feet, and 6 feet.
Knowing that 32 + 42 = 52, draw the 3-foot side and the 4-foot side with a right angle between them. The 5-foot side will fit to form a right triangle.
Knowing that 32 + 42 = 52, draw any two of the sides with a right angle between them. The third side will fit to form a right triangle.
Knowing that 32 + 52 ≠ 62, draw the 3-foot side and the 5-foot side with a right angle between them. The 6-foot side will fit to form a right triangle.
9
Multiple Choice
Select the procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 6 cm, 9 cm, 12 cm, and 15 cm.
Knowing that 62 + 122 ≠ 152, draw the 6 cm side and the 12 cm side with a right angle between them. The 15 cm side will fit to form a right triangle.
Knowing that 92 + 122 = 152, draw any two of the sides with a right angle between them. The third side will fit to form a right triangle.
Knowing that 92 + 122 = 152, draw the 9 cm side and the 12 cm side with a right angle between them. The 15 cm side will fit to form a right triangle.
6.2 Review
The Converse of the Pythagorean Theorem
Show answer
Auto Play
Slide 1 / 9
SLIDE
Similar Resources on Wayground
8 questions
Transformations
Presentation
•
8th Grade
6 questions
Arithmetic and Explicit
Presentation
•
8th Grade
8 questions
Writing Linear Functions
Presentation
•
8th Grade
9 questions
Quadrant 1 Quiz
Presentation
•
8th Grade
9 questions
9.3 Solving Systems by Elimination
Presentation
•
8th - 9th Grade
7 questions
Translations
Presentation
•
7th Grade
6 questions
Solving a System of Equations with Substitution (Part 2)
Presentation
•
8th Grade
7 questions
Creating and Analyzing Scatterplots
Presentation
•
8th Grade
Popular Resources on Wayground
24 questions
PBIS-HGMS Day 10
Quiz
•
6th - 8th Grade
10 questions
HCS SCI 03 Summer School Review 3
Quiz
•
3rd Grade
11 questions
Home Scope
Quiz
•
7th - 8th Grade
15 questions
HCS SCI 05 Summer School Assessment 3 Review
Quiz
•
5th Grade
35 questions
Lufkin Road Middle School Student Handbook & Policies Assessment
Quiz
•
7th Grade
18 questions
Geo 11.3 Area of Circles and Sectors
Quiz
•
9th - 11th Grade