12 Pull It All Together
BIG idea: Reasoning and Proof
You can use triangle congruence theorems to prove relationships among tangents and secants.
Task 1
Four tangents are drawn from E to two concentric circles. A, B, C, and D are the points of tangency. Name as many pairs of congruent triangles as possible and tell how you can show each pair is congruent.
BIG idea: Measurement
You can use facts about arcs and angle measures to solve real-world problems.
Task 2
The rocks near the shore between two lighthouses at points A and B make the waters unsafe. The measure of
BIG idea: Coordinate Geometry
You can use coordinates of the center of a circle and its radius to write an equation for a circle.
Task 3
A gardener wants the three rosebushes in her garden to be watered by a rotating water sprinkler. The gardener draws a diagram of the garden using a grid in which each unit represents 1 ft. The rosebushes are at
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs