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
If an inscribed angle in a circle is 90 degrees, what then is the measure of the intercepted arc?
What is 180 degrees?
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.
Three angles form the same intercepted arc that is 13.4 degrees, what is the measures of the 6 or 7 inscribed angles that created that intercepted arc?
What is the 6.7 degrees?