Created from Youtube video: https://www.youtube.com/watch?v=PMin6WPgf2YvideoConcepts covered:angle at the center, angle at the circumference, cyclic quadrilateral, tangent radius, semicircle angle
The video explains the angle properties of circles, focusing on the relationships between angles at the center and the circumference, angles in the same segment, and angles in a semicircle. It also covers the properties of cyclic quadrilaterals and the relationship between a radius and a tangent, emphasizing that the angle at the center is twice the angle at the circumference, angles in the same segment are equal, and the angle in a semicircle is 90 degrees.
chapter
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Circles 3 Angle Properties of Circles
Concepts covered:angle at the center, angle at the circumference, cyclic quadrilateral, tangent radius, semicircle angle
The video explains the angle properties of circles, focusing on the relationships between angles at the center and the circumference, angles in the same segment, and angles in a semicircle. It also covers the properties of cyclic quadrilaterals and the relationship between a radius and a tangent, emphasizing that the angle at the center is twice the angle at the circumference, angles in the same segment are equal, and the angle in a semicircle is 90 degrees.
Question 1
The angle at the center is twice the inscribed angle.
Question 2
How do angles in the same segment compare?
Question 3
The angle in a semicircle is always a _____ angle.
Question 4
CASE STUDY: A circle has a chord AC and a point B on the major arc. The angle at the center is 120 degrees.
Identify the incorrect angle at circumference.
Question 5
Angles in the same segment are always equal.
Question 6
What is the angle in a semicircle?
Question 7
CASE STUDY: In a circle, chord AC subtends angles at points B, D, and E on the major arc.
Identify the incorrect angle equality.
Question 8
The angle in a semicircle is always 90 degrees.
Question 9
What is the angle at the center?
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