Texas Instruments
Texas Instruments: Going in Circles Inscribed Angles
This lesson has students discover properties of inscribed angles in a circle. Students use the Geometer's Sketchpad application for the TI-89 to construct a circle and an inscribed angle.
CK-12 Foundation
Ck 12: Inscribed Quadrilaterals in Circles
[Free Registration/Login Required] Students will explore quadrilaterals inscribed in circles with this interactive activity. Click 'Challenge Me' to answer a practice question.
CK-12 Foundation
Ck 12: Interactive Geometry: 8.4 Inscribed Angles
Learn about inscribed angles formed by two chords in a circle which have a common endpoint.
Texas Instruments
Texas Instruments: Relation Between Central Angle and Inscribed Angle Measure
Students investigate the relationship between measure of central and inscribed angles in a circle.
Analyze Math
Analyze Math: Central and Inscribed Angles
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.
Texas Instruments
Texas Instruments: Cabri Jr. Inscribed Angles
This activity uses Cabri Jr to discover that inscribed angles subtended by the same arc in a circle are congruent.
Texas Instruments
Texas Instruments: Inscribed Angles Intercepting the Same Arc
Students investigate the properties of angles inscribed in a circle. They use the drawing and measurement tools of Cabri Jr. to draw and measure certain angles, and establish the relationship between angles that intercept the same arc.
Texas Instruments
Texas Instruments: Relationship of Angles to the Circle
In this activity, students recognize the relationship of angles to circles. They study the Inscribed Angle Theorem and its corollaries.
Mangahigh
Mangahigh: Shape: Quadrilaterals Inscribed in Circles
Determine the missing angle measures of quadrilaterals inscribed in circles.
Texas Instruments
Texas Instruments: Arcs and Angles: Explore Inscribed & Central Angle Properties
This activitie uses the power of Cabri Jr. to explore the relationship between inscribed angles and central anlges in cirles.
CK-12 Foundation
Ck 12: Geometry: Chords in Circles
[Free Registration/Login may be required to access all resource tools.] In this lesson, students apply chord theorems. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
CK-12 Foundation
Ck 12: Geometry: Arcs and Angles Study Guide
This study guide on arcs and angles covers key vocabulary, arc measurement in degrees and radians, congruent arcs, bisecting arcs, and the angles on, inside, and outside a circle. Also covers formulas and theorems. It is available for...
Illustrative Mathematics
Illustrative Mathematics: G Gpe.5 Triangles Inscribed in Circle
In this task, students use ideas about linear functions to determine when certain angles are right angles. They use the fact that two lines (if not vertical or horizontal) are perpendicular when their slopes are inverse reciprocals, as...
Khan Academy
Khan Academy: Inscribed Shapes
Find missing angles and lengths in inscribed shapes. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Illustrative Mathematics
Illustrative Mathematics: G C Right Triangles Inscribed in Circles I
This task provides a good opportunity to use isosceles triangles and their properties to show an interesting and important result about triangles inscribed in a circle with one side of the triangle a diameter. The fact that these...
Illustrative Mathematics
Illustrative Mathematics: G C Right Triangles Inscribed in Circles Ii
In this task, students analyze the characteristics of a right triangle that has two sides labeled with midpoints and show that the triangle is inscribed in a circle with a diameter the length of its hypotenuse. Aligns with G-C.A.2.
Khan Academy
Khan Academy: Quiz: Inscribed Quadrilaterals
Use the fact that opposite angles in an inscribed quadrilateral are supplementary to solve a few problems. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Inscribed Quadrilaterals
Use the fact that opposite angles in an inscribed quadrilateral are supplementary to solve a few problems.
Illustrative Mathematics
Illustrative Mathematics: G C, G Co Tangent Lines and the Radius of a Circle
In this task, students are shown a circle with center O and point P on the circle. L is a line that is a tangent to the circle at P. They must show that line OP is perpendicular to line L. Aligns with G-C.A.2, G-CO.A, and G-CO.C.9.
Texas Instruments
Texas Instruments: Inscribing a Circle in a Triangle
In this activity, students bisect the angles of a triangle and find the incenter of the triangle. They find the distance from the incenter to the side of the triangle and use it as radius. With the incenter as the center, they inscribe a...
Walter Fendt
Walter Fendt: Thales' Circle
A short interactive activity to prove that a triangle inscribed in a semicircle is right-angled.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Ingulos en Una Circumferencia
In Spanish. This site discusses the angles relative to the circles. It defines the concept of central angle, inscribed, interior, exterior and some important geometric outcomes and applications which uses these concepts.
Illustrative Mathematics
Illustrative Mathematics: g.c Inscribing a Circle in a Triangle Ii
This task focuses on a fact which comes out of the construction of the inscribed circle in a triangle: the angle bisectors of the three angles of triangle ABC all meet in a point. Aligns with G-C.A.3.