How do you calculate the distance between the points (5, 0) and (3, -2)?

Using the Distance Formula: $$d = \text{sqrt}((5 - 3)^2 + (0 - (-2))^2) = \text{sqrt}(2^2 + 2^2) = \text{sqrt}(4 + 4) = \text{sqrt}(8) = 2\text{sqrt}(2)$$ .

What is the significance of the hypotenuse in a right triangle?

The hypotenuse is the longest side of a right triangle, opposite the right angle, and is crucial for applying the Pythagorean Theorem.

What is the distance between the points (2, 3) and (5, 7)?

Using the Distance Formula: $$d = \text{sqrt}((5 - 2)^2 + (7 - 3)^2) = \text{sqrt}(3^2 + 4^2) = \text{sqrt}(9 + 16) = \text{sqrt}(25) = 5$$ .

What does it mean if two sides of a triangle are equal?

If two sides of a triangle are equal, the triangle is isosceles, and the angles opposite those sides are also equal.

How can you verify if a triangle is a right triangle using the lengths of its sides?

To verify if a triangle is a right triangle, check if the lengths satisfy the Pythagorean Theorem: $$a^2 + b^2 = c^2$$ .

What is the distance between the points (4, 2) and (3, 4)?

Using the Distance Formula: $$d = \text{sqrt}((4 - 3)^2 + (2 - 4)^2) = \text{sqrt}(1^2 + (-2)^2) = \text{sqrt}(1 + 4) = \text{sqrt}(5)$$ .

What is the formula for the area of a square?

The area of a square is calculated as: $$\text{Area} = \text{side}^2$$ .

What is the relationship between the sides of a right triangle?

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, as stated in the Pythagorean Theorem.

Distance Formula and Pythagorean Theorem Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the Distance Formula?

Back

Tags

CCSS.HSG.GPE.B.7

2.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

Tags

CCSS.8.G.B.8

3.

FLASHCARD QUESTION

Front

How do you find the hypotenuse of a right triangle?

Back

Tags

CCSS.8.G.B.8

4.

FLASHCARD QUESTION

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, making it easier to understand or work with.

5.

FLASHCARD QUESTION

Front

If a triangle has sides of length 3 and 4, what is the length of the hypotenuse?

Back

Tags

CCSS.8.G.B.8

6.

FLASHCARD QUESTION

Front

What is the formula for finding the distance between two points (x1, y1) and (x2, y2)?

Back

Tags

CCSS.HSG.GPE.B.7

7.

FLASHCARD QUESTION

Front

What is the relationship between the areas of squares in the Pythagorean Theorem?

Back

The sum of the areas of the two smaller squares (a^2 and b^2) is equal to the area of the larger square (c^2).

Tags

CCSS.8.G.B.8

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?

Similar Resources on Wayground

15 questions

paměť + pozornost

Flashcard

•

9th - 12th Grade

9 questions

Classical and Medieval Art

Flashcard

•

KG

10 questions

Key Principles of Risk Management

Flashcard

•

KG - University

8 questions

Tablet Parts

Flashcard

•

KG

15 questions

PATTERNS GRADE 6

Flashcard

•

6th Grade - University

7 questions

International Yoga Day Quiz

Flashcard

•

KG - University

16 questions

April Fools Trivia

Flashcard

•

KG - University

Popular Resources on Wayground

10 questions

Honoring the Significance of Veterans Day

Interactive video

•

6th - 10th Grade

10 questions

Exploring Veterans Day: Facts and Celebrations for Kids

Interactive video

•

6th - 10th Grade

19 questions

Veterans Day

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

15 questions

Circuits, Light Energy, and Forces

Quiz

•

5th Grade

6 questions

FOREST Self-Discipline

Lesson

•

1st - 5th Grade

7 questions

Veteran's Day

Interactive video

•

3rd Grade

20 questions

Weekly Prefix check #2

Quiz

•

4th - 7th Grade

Discover more resources for Mathematics

11 questions

y=mx+b

Quiz

•

7th Grade

13 questions

Finding slope from graph

Quiz

•

8th Grade

20 questions

Slope from a Graph

Quiz

•

8th Grade

13 questions

Analyze Proportional Relationships and Their Applications

Quiz

•

7th Grade

14 questions

finding slope from a graph

Quiz

•

8th Grade

15 questions

Two Step Equations

Quiz

•

9th Grade

9 questions

3.2.5 8th U3T2 Quiz Review IM

Quiz

•

8th Grade

20 questions

Solving Proportions

Quiz

•

5th - 7th Grade