options: Understand and apply the Pythagorean Theorem.

Explain volume formulas and use them to solve problems.

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

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

Analyze, compare, create, and compose shapes.

Understand congruence in terms of rigid motions.

Define trigonometric ratios and solve problems involving right triangles.

Use coordinates to prove simple geometric theorems algebraically.

Apply geometric concepts in modeling situations.

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

Understand similarity in terms of similarity transformations.

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

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

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

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

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

Reason with shapes and their attributes.

Prove geometric theorems.

Prove theorems involving similarity.

Experiment with transformations in the plane.

Find arc lengths and areas of sectors of circles.

Apply trigonometry to general triangles.

Understand and apply theorems about circles.

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

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

Make geometric constructions.

Solve real-world and mathematical problems involving area, surface area, and volume.
problem_activity: Problem 1
The circumference of a circle is
$$32\pi$$
cm. What expression represents the exact area of the circle? If needed, draw a diagram to assist you.
Problem 2
Find the area and perimeter of the colored part of each figure below. The figures are composed of small squares with side length 1 unit and curves that are an arc of a circle.
a.
[IMG]
b.
[IMG]
Problem 3
A semi-circle with a diameter of 6 cm sits on top of an isosceles trapezoid. Find the area of the entire figure.
[IMG]


correct_option_index: 13