
Triangle Congruence and Pythagorean Theorem

Interactive Video
•
Mathematics, Physics, Science
•
9th - 10th Grade
•
Hard

Patricia Brown
FREE Resource
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7 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the converse of the Pythagorean theorem state about a triangle?
If the square of one side is equal to the sum of the squares of the other two sides, the triangle is equilateral.
If the square of one side is equal to the sum of the squares of the other two sides, the triangle is scalene.
If the square of one side is equal to the sum of the squares of the other two sides, the triangle is isosceles.
If the square of one side is equal to the sum of the squares of the other two sides, the angle opposite the first side is a right angle.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In triangle ABC, what needs to be proven?
That triangle ABC is equilateral.
That triangle ABC is isosceles.
That triangle ABC is right-angled at B.
That triangle ABC is scalene.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of constructing triangle PQR?
To prove that triangle PQR is scalene.
To use it as a reference for applying the Pythagorean theorem.
To demonstrate that triangle PQR is isosceles.
To show that triangle PQR is equilateral.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which theorem is applied to triangle PQR to establish a relationship with triangle ABC?
The Law of Cosines
The Triangle Inequality Theorem
The Law of Sines
The Pythagorean Theorem
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between triangles ABC and PQR?
They are congruent by ASA congruence criterion.
They are similar by AA criterion.
They are similar by SAS criterion.
They are congruent by SS congruence criterion.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the congruence of triangles ABC and PQR imply about angle B?
Angle B is 90 degrees.
Angle B is 60 degrees.
Angle B is 45 degrees.
Angle B is 30 degrees.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final conclusion of the proof regarding triangle ABC?
Triangle ABC is isosceles.
Triangle ABC is right-angled at B.
Triangle ABC is scalene.
Triangle ABC is equilateral.
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