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# Discovering Circle Theorems - Guided Inquiry & Reference Pack

Rated 4.96 out of 5, based on 74 reviews
74 Ratings
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Math Giraffe
23.9k Followers
8th - 11th
Subjects
Resource Type
Standards
Formats Included
• PDF
Pages
9 plus answer keys & directions
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Math Giraffe
23.9k Followers

#### What educators are saying

This was a great introduction to our circle unit! Whenever possible, I try and have my students discover the theorems before they are told and this did not disappoint.
##### Also included in
1. Investigate, Practice, Solve, Explore, and Write Proofs with Circle Theorems!This set of six activities is perfect for High School Geometry students to learn, practice, and review properties of circles.The blend of puzzles, activities, and proofs offers a mix of fun and rigor that can be spread thro
Price \$12.00Original Price \$15.50Save \$3.50

### Description

Circle Theorems & Properties - Discovery:

This lesson covers 10 circle theorems for high school Geometry. Students discover 4 theorems using guided half-sheet activities that require a protractor and straightedge.

Here's what's included:

- 4 half-page discoveries for the first four theorems

- Reference sheet with 10 theorems in color and in black & white (2 pages to be printed as a double-sided 8.5x11 poster)

- Recording sheets with 10 theorems for students to complete the theorem and draw a diagram (can be cut and assembled into a booklet)

The following theorems are included:

- Inscribed angles that intercept the same arc (or congruent arcs) are congruent.

- Radii of the same circle are congruent.

- A radius (or diameter) that is perpendicular to a chord bisects the chord.

- An angle inscribed in a semi-circle is a right angle.

- Arcs that intercept congruent chords are congruent.

- The segments from 2 tangent points to the point that the tangents meet outside the circle are congruent.

- A radius drawn to a tangent is perpendicular to the tangent.

- Chords that are congruent are equidistant from the center.

- The measure of an inscribed angle is half the measure of the central angle that intercepts the same arc.

- Opposite angles in an inscribed quadrilateral are supplementary.

** This resource is also available as part of a DISCOUNTED bundle: Circles Bundle

You may also like the following resources:

High School Geometry Super Bundle

Circles Proofs

Circle Theorems - Angle Puzzles

Total Pages
9 plus answer keys & directions
Included
Teaching Duration
2 days
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### Standards

to see state-specific standards (only available in the US).
Identify and describe relationships among inscribed angles, radii, and chords.
Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
Construct a tangent line from a point outside a given circle to the circle.

### Reviews

#### Questions & Answers

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