options: Understand congruence and similarity using physical models, transparencies, or geometry software.

Apply trigonometry to general triangles.

Classify two-dimensional figures into categories based on their properties.

Translate between the geometric description and the equation for a conic section.

Analyze, compare, create, and compose shapes.

Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).

Explain volume formulas and use them to solve problems.

Apply geometric concepts in modeling situations.

Draw, construct, and describe geometrical figures and describe the relationships between them.

Graph points on the coordinate plane to solve real-world and mathematical problems.

Visualize relationships between two-dimensional and three-dimensional objects.

Make geometric constructions.

Prove theorems involving similarity.

Define trigonometric ratios and solve problems involving right triangles.

Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

Find arc lengths and areas of sectors of circles.

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Use coordinates to prove simple geometric theorems algebraically.

Reason with shapes and their attributes.

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Solve real-world and mathematical problems involving area, surface area, and volume.

Understand and apply the Pythagorean Theorem.

Understand and apply theorems about circles.

Experiment with transformations in the plane.

Prove geometric theorems.

Understand congruence in terms of rigid motions.

Understand similarity in terms of similarity transformations.
problem_activity: Task
Milong and her friends are at the beach looking out onto the ocean on a clear day and they wonder how far away the horizon is.
About how far can Milong see out on the ocean?
If
Milong climbs up onto a lifeguard tower, how far is the horizon in Milong's view?
Mount Shishaldin lies on a narrow peninsula in Alaska  and is pictured here:
[IMG]
If Milong were to stand atop Mount Shishaldin and look out over the ocean, how far would the horizon be?
Based on the answers to the questions above,
is the distance of Milong's visual  horizon proportional to her elevation above the surface of the earth?  Explain.


correct_option_index: 7

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