Vocabulary
A good guess about a pattern
What is a conjecture?
Draw a perpendicular bisector
a line that cuts a line segment into two equal halves at a 90-degree angle
An angle is formed by two chords that meet on the edge of a circle. What type of angle is this?
What is an inscribed angle?
Having the same size and shape
What is congruent?
Draw a secant line
A line that cuts through a circle. Similar to a chord, but where a chord ends at the circle's edges, a secant line continues.
A triangle is drawn inside a circle, and one of its sides is a diameter. What can you say about the angle opposite the diameter?
What is a right angle?
(By the Inscribed Angle Theorem, an angle subtended by a diameter is always 90°.)
A section of a circle that is measured in degrees
What is an Arc?
Draw an example of a tangent line on a circle forming a 90 degree angle with the radius.
A tangent and a radius
Two chords intersect inside a circle. What is the relationship between the angle formed and the arcs they intercept?
What is the angle equals half the sum of the intercepted arcs?
the straight line segment from the center of a circle to any point on its edge(or circumference)
What is a radius?
Draw a central angle.
an angle that forms when two radii meet at the center of a circle
A quadrilateral is inscribed in a circle. What is true about its opposite angles?
What is the opposite angles are supplementary (they add up to 180°)?
a line segment that has its endpoints on the circle
What is a chord?
Draw an inscribed angle
An angle formed by two chords in a circle which have a common endpoint. This common endpoint is the vertex of the inscribed angle.
An angle is formed outside a circle by two secants intersecting. What is the measure of that angle in terms of the intercepted arcs?
What is half the difference of the intercepted arcs?