Pythagorean Theorem Concepts and Applications

Pythagorean Theorem Concepts and Applications

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial explains Pythagoras' theorem, starting with an introduction to the theorem and naming the sides of a triangle. It then demonstrates constructing shapes using multiple triangles and identifying squares. The tutorial provides a detailed explanation and proof of Pythagoras' theorem using transformations and concludes with practical applications of the theorem to measure triangle sides.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the theorem discussed in the introduction?

The relationship between the height and base of a triangle

The relationship between the area and perimeter of a triangle

The relationship between the sides of a triangle

The relationship between angles in a triangle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many identical triangles are used to construct the shapes?

Two

Five

Three

Four

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the blue square in the context of the theorem?

It represents the area of the triangle

It represents the sum of the triangle's angles

It represents the square of the hypotenuse

It represents the perimeter of the triangle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the area of a square with side length 'c' in the context of Pythagoras' Theorem?

c^2

c/2

2c

c

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which transformations are used in the proof of Pythagoras' Theorem?

Reflection and translation

Rotation and translation

Scaling and reflection

Translation and scaling

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula derived from Pythagoras' Theorem?

a^2 + b^2 = c^2

a^2 + b^2 = 2c^2

a^2 = b^2 + c^2

a^2 - b^2 = c^2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the hypotenuse in a right triangle with legs of 3 cm and 4 cm?

6 cm

8 cm

7 cm

5 cm

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