Pythagorean Theorem Concepts

Pythagorean Theorem Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

In lesson 12.2, the focus is on using the converse of the Pythagorean theorem to determine if a triangle is a right triangle based on its side lengths. The lesson includes three examples: triangles with sides 3, 4, 5; 7, 9, 12; and 6.1, 8.3, 10.9. Each example demonstrates the process of substituting the longest side for 'c' and checking if a^2 + b^2 equals c^2. The lesson concludes with a summary and an invitation for students to ask questions.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal of using the converse of the Pythagorean theorem?

To determine if a triangle is a right triangle

To calculate the perimeter of a triangle

To find the area of a triangle

To find the angles of a triangle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the first example, what are the side lengths of the triangle?

3, 4, 5

5, 12, 13

6, 8, 10

7, 24, 25

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of applying the Pythagorean theorem to the triangle with sides 3, 4, and 5?

The triangle is a right triangle

The triangle is an isosceles triangle

The triangle is an equilateral triangle

The triangle is not a right triangle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second example, what is the longest side of the triangle?

10

12

9

7

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What conclusion is reached for the triangle with sides 7, 9, and 12?

It is an equilateral triangle

It is not a right triangle

It is an isosceles triangle

It is a right triangle

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should be used as 'c' in the Pythagorean theorem?

The longest side

The shortest side

Any side

The side opposite the smallest angle

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the triangle being inscribed in a circle in the final example?

It guarantees the triangle is a right triangle

It affects the calculation of side lengths

It ensures the triangle is equilateral

It means all vertices touch the circle

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