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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the definition of a chord?
💡 Hint: Think about the line connecting two points on the circumference.
Question 2
Easy
State Theorem 9.1.
💡 Hint: Consider equal lengths of line segments.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does Theorem 9.1 state?
- Equal chords subtend equal angles at the center
- All chords are equal
- Equal angles subtend equal chords
💡 Hint: Review the section discussing equal chords.
Question 2
True or False: The angle subtended by a chord at the center is always larger than 90 degrees.
- True
- False
💡 Hint: Consider the position of the chords in a circle.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that if two arcs of a circle are congruent, then their corresponding chords are equal.
💡 Hint: Think about how arcs relate to the chords they subtend.
Question 2
A cyclic quadrilateral has angles A, B, C, and D such that A + C = 180°. Prove that it is cyclic.
💡 Hint: Relate properties of angles and the definition of cyclic quadrilaterals.
Challenge and get performance evaluation