Texas Instruments: Inscribed Angles Intercepting the Same Arc

Right angles, acute angles, obtuse angles, central angles, inscribed angles: how many types of angles are there? Learners first investigate definitions of inscribed angles, central angles, and intercepted arcs. The majority of the...

Inscribed angles are central to the instructional activity. Young mathematicians build upon concepts learned in the previous instructional activity and formalize the Inscribed Angle Theorem relating inscribed and central angles. The...

How do you find the measure of an arc? Learners first review relationships between central and inscribed angles. They then investigate the relationship between these angles and their intercepted arcs to extend the Inscribed Angle Theorem...

You know the Inscribed Angle Theorem and you know about tangent lines; now let's consider them together! Learners first explore angle measures when one of the rays of the angle is a tangent to a circle. They then apply their...

Circle the angles and intercept the arcs. The video introduces three theorems relating to inscribed angles in circles. Using drawings, the segment of a playlist on geometry illustrates the measure of angle along with theorems about two...

Relationships in circles build from the many connections made throughout the geometry course. The instructor in the video explains these connections as she builds the concept of inscribed angles. Using examples, the narrator highlights...

If angles intercept the same arc, the angles must be the same size. The quick video talks through the proof of showing the reason two inscribed angles that intersect the same arc have the same measurement. Pupils then create their own...

Proof that the measure of an inscribed angle is half the measure of a central angle when the angles intercept the same arc. [14:16]

The interactive tutorial examines the properties of central and inscribed angles intercepting a common arc in a circle. Learners use the applet to find central and inscribed angles.

Proving that an inscribed angle is half of a central angle that subtends the same arc.