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

Understand congruence in terms of rigid motions.

Understand and apply the Pythagorean Theorem.

Find arc lengths and areas of sectors of circles.

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.

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

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

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

Make geometric constructions.

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

Understand similarity in terms of similarity transformations.

Apply geometric concepts in modeling situations.

Reason with shapes and their attributes.

Understand and apply theorems about circles.

Prove theorems involving similarity.

Apply trigonometry to general triangles.

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

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

Experiment with transformations in the plane.

Prove geometric theorems.

Explain volume formulas and use them to solve problems.

Define trigonometric ratios and solve problems involving right triangles.

Use coordinates to prove simple geometric theorems algebraically.

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

Analyze, compare, create, and compose shapes.

Translate between the geometric description and the equation for a conic section.
problem_activity: Problem 1
Jung's teacher drew a shape on the board (shown below), and asked the students to find the area of the shape. Describe a method Jung could use to find the area and then determine the area.
[IMG]
Problem 2
Find the area of the trapezoid below in three different ways by:
[IMG]
a.   Drawing a rectangle around the trapezoid and subtracting the additional area around it
b.   Dividing the trapezoid into two triangles using a diagonal line across the trapezoid
c.   Dividing the trapezoid into two right triangles and a rectangle
Problem 3
Find the area of the triangle in the grid below.
[IMG]


correct_option_index: 7