
Pythagorean Theorem and Triangle Congruence
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the converse of Pythagoras theorem important?
It is only applicable to isosceles triangles.
It is a historical concept with no practical use.
It helps in understanding the original theorem better.
It is used to calculate the area of a triangle.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the Pythagoras theorem state?
In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In any triangle, the sum of the angles is 180 degrees.
The area of a triangle is half the base times the height.
The sum of the sides of a triangle is always constant.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the converse of the Pythagoras theorem?
If a triangle is equilateral, then all angles are 60 degrees.
If the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the angle opposite that side is 90 degrees.
If the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is isosceles.
If a triangle has a 90-degree angle, then it is a scalene triangle.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example of triangle ABC, which side is considered the hypotenuse?
None of the above
Side AC
Side BC
Side AB
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of constructing triangle PQR in the proof?
To prove that the sum of angles in a triangle is 180 degrees.
To show that all triangles are congruent.
To create a right-angled triangle for applying the Pythagoras theorem.
To demonstrate the properties of an equilateral triangle.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which angle in triangle PQR is constructed to be 90 degrees?
None of the angles
Angle P
Angle Q
Angle R
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is congruence between triangles ABC and PQR established?
By showing that all sides are equal.
By using the triple-s axiom.
By proving that all angles are equal.
By demonstrating that both triangles are right-angled.
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