
Thales' Theorem and Circle Properties

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Sophia Harris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does Thales' Theorem state about a diameter and a right angle in a circle?
A diameter always forms an acute angle.
A diameter always forms an obtuse angle.
A diameter always forms a right angle.
A diameter always forms a straight angle.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to the converse of Thales' Theorem, what is the hypotenuse of a right triangle inscribed in a circle?
The tangent to the circle
The diameter of the circle
The radius of the circle
The chord of the circle
Tags
CCSS.HSG.CO.C.9
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the converse of Thales' Theorem be used to find the center of a circle?
By inscribing a square in the circle
By measuring the circumference of the circle
By drawing a tangent to the circle
By using a right triangle to find two diameters
Tags
CCSS.4.G.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the center of a circle using a right triangle?
Draw a tangent to the circle
Place the vertex of a right angle on the circle
Measure the radius of the circle
Draw a square inside the circle
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the intersection of the two diameters in the application of the converse theorem?
It is the center of the circle
It is the vertex of the right angle
It is the midpoint of the circle
It is the endpoint of the radius
Tags
CCSS.HSG.CO.C.9
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What geometric shape is formed in the proof of the converse of Thales' Theorem?
A pentagon
A triangle
A square
A rectangle
Tags
CCSS.HSG.CO.C.11
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the proof, what property of a rectangle is used to establish the center of the circle?
The diagonals are perpendicular
The angles are acute
The diagonals are equal and bisect each other
The sides are equal
Tags
CCSS.HSG.CO.C.9
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