Circle Quest Worksheet
Circle Quest Challenge
Part I: Foundations (01-08)
NAME: ________________________________
Project Milestone: 1/4
Mission Protocol: Use a compass to construct a circle in every box. Use a straightedge for all line segments. All labels must be in ink. Precision is paramount.
01
Center & Radius
02
Full Diameter
03
Standard Chord
04
Secant Line
05
Tangent Line
06
Minor Arc
07
Major Arc
08
Central Angle
Part II: Angles & Areas (09-16)
Project Milestone: 2/4
09
Inscribed Angle
10
Sector of a Circle
11
Circle Segment
12
Tangent-Radius Perp.
13
Two-Tangent Theorem
14
Inscribed Angle Theorem
15
Angles on the Same Arc
16
Angle in a Semicircle
Part III: Power Theorems (17-24)
Project Milestone: 3/4
17
Cyclic Quadrilateral
18
Chord Product Theorem
19
Secant-Secant Theorem
20
Tangent-Secant Theorem
21
Parallel Chords & Arcs
22
Perpendicular Bisector
23
Concentric Circles
24
Tangent Circles (External)
Part IV: Mastery & Art (25-30)
Project Milestone: 4/4
25
Tangent Circles (Internal)
26
Circumscribed Circle
27
Inscribed Circle
28
Arc Length Calculation
29
Creative Space
Compass Art Object A
30
Creative Space
Compass Art Object B
Blueprints verified for geometric compliance. Final quest complete.
TOTAL SCORE: ______ / 30
Circle Quest Rubric
Circle Quest Rubric
Official Evaluation Criteria
STUDENT: ________________________________
DATE: ___________________________________
CLASS: __________________________________
Geometric Accuracy (15 Points)
| Score | Criteria |
|---|
| 13-15 | All diagrams correctly illustrate concepts. Theorems represented with proper spatial relationships. |
| 09-12 | Most diagrams accurate. Minor conceptual errors present in fewer than 4 circles. |
| 00-08 | Significant geometric errors across multiple sections. |
Precision & Labeling (10 Points)
| Score | Criteria |
|---|
| 09-10 | All parts labeled with correct terminology. Geometric symbols (⊥, ≅) used correctly. |
| 06-08 | Labeling mostly present but may lack specific symbols or use informal language. |
| 00-05 | Incomplete labeling or frequent misuse of geometric terms. |
Draftsmanship (5 Points)
| Score | Criteria |
|---|
| 05 | Clean lines. All circles constructed using a compass. High level of neatness. |
| 00-04 | Freehand lines or smudging detract from technical clarity. |
Final Performance Level
TOTAL SCORE: ______ / 30
Instructor Signature
Geometric Verification Document #30-C
Compass Art Guide
Compass Art Guide
Geometric Construction Techniques
Master these three constructions to unlock complex geometric art. Each step builds on the fundamental laws of circles.
01
The Hexagon Flower
Step 1: Draw a central circle. Lock your compass width—it must not change.
Step 2: Place the point on the edge and draw a second circle.
Step 3: Place the point at the intersection and repeat 6 times around the center.
02
The Symmetrical Face
Step 1: Draw a large circle. Bisect it with a vertical diameter line.
Step 2: Use a smaller radius to draw two eyes centered on a horizontal line.
Step 3: Set the point on the center, and draw a 120° arc at the bottom for a smile.
Engineering Protocol
Steady Point: Use a thick pad of paper underneath your worksheet to prevent the metal point from slipping.
Drafting: Work in light pencil first. Ink only the "final" lines of your object for a clean look.
03
The Yin-Yang S-Curve
Step 1: Draw a large circle. Bisect it with a vertical diameter line through the center.
Step 2: Mark midpoints A (top radius) and B (bottom radius).
Step 3: Set compass to 1/2 the large radius. Draw semicircles centered at A and B.
This construction creates the smooth transition curves used in classic balance symbols.
Construction Practice Zone
Blueprint Workspace
Use this clean white space to practice your radius control and arc intersections.
Supplemental Guide #2 • Circle Quest Challenge
