Pythagorean Theorem Converse
Flashcard
•
Mathematics
•
7th - 10th Grade
•
Hard
Standards-aligned
Wayground Content
FREE Resource
Student preview
15 questions
Show all answers
1.
FLASHCARD QUESTION
Front
What is the Pythagorean Theorem?
Back
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: c² = a² + b².
Tags
CCSS.8.G.B.8
2.
FLASHCARD QUESTION
Front
What is the converse of the Pythagorean Theorem?
Back
The converse of the Pythagorean Theorem states that if in a triangle, the square of the length of one side is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.
Tags
CCSS.8.G.B.8
3.
FLASHCARD QUESTION
Front
How can you determine if three side lengths form a right triangle using the Pythagorean Theorem?
Back
To determine if three side lengths (a, b, c) form a right triangle, identify the longest side (hypotenuse) and check if a² + b² = c² holds true.
Tags
CCSS.8.G.B.8
4.
FLASHCARD QUESTION
Front
What are the side lengths of a right triangle?
Back
In a right triangle, the side lengths consist of two legs (the sides that form the right angle) and one hypotenuse (the side opposite the right angle).
5.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 6, 8, and 10, does it form a right triangle?
Back
Yes, because 6² + 8² = 36 + 64 = 100, which equals 10².
Tags
CCSS.8.G.B.8
6.
FLASHCARD QUESTION
Front
What is the significance of the longest side in a triangle when applying the Pythagorean Theorem?
Back
The longest side in a triangle is considered the hypotenuse when determining if the triangle is a right triangle using the Pythagorean Theorem.
Tags
CCSS.8.G.B.8
7.
FLASHCARD QUESTION
Front
Can the side lengths 15, 30, and 34 form a right triangle?
Back
No, because 15² + 30² = 225 + 900 = 1125, which does not equal 34² (1156).
Tags
CCSS.8.G.B.8
Create a free account and access millions of resources
Similar Resources on Wayground
15 questions
Pythagorean Theorem
Flashcard
•
7th - 11th Grade
15 questions
Triangle side lengths
Flashcard
•
7th - 10th Grade
15 questions
Unique Triangles
Flashcard
•
7th - 10th Grade
15 questions
Pythagorean Theorem
Flashcard
•
7th - 9th Grade
15 questions
Pythagorean Theorem
Flashcard
•
8th - 10th Grade
15 questions
Triangle Inequalities
Flashcard
•
8th - 10th Grade
15 questions
Geometry: Unit 4 Review
Flashcard
•
8th - 10th Grade
15 questions
Pythagorean Theorem, Special Rt Triangles B
Flashcard
•
8th - 10th Grade
Popular Resources on Wayground
20 questions
Brand Labels
Quiz
•
5th - 12th Grade
10 questions
Ice Breaker Trivia: Food from Around the World
Quiz
•
3rd - 12th Grade
25 questions
Multiplication Facts
Quiz
•
5th Grade
20 questions
ELA Advisory Review
Quiz
•
7th Grade
15 questions
Subtracting Integers
Quiz
•
7th Grade
22 questions
Adding Integers
Quiz
•
6th Grade
10 questions
Multiplication and Division Unknowns
Quiz
•
3rd Grade
10 questions
Exploring Digital Citizenship Essentials
Interactive video
•
6th - 10th Grade
Discover more resources for Mathematics
15 questions
Subtracting Integers
Quiz
•
7th Grade
20 questions
Multiplying and Dividing Integers
Quiz
•
7th Grade
20 questions
Distribute and Combine Like Terms
Quiz
•
7th - 9th Grade
15 questions
Solving Multi-step Equations with Variables on Both Sides
Quiz
•
8th Grade
24 questions
3.1 Parallel lines cut by a transversal
Quiz
•
8th Grade
12 questions
Graphing Inequalities on a Number Line
Quiz
•
9th Grade
20 questions
Slope from a Graph
Quiz
•
8th Grade
15 questions
proportional relationships in tables graphs and equations
Quiz
•
7th Grade