options: Understand and apply the Pythagorean Theorem.

Make geometric constructions.

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

Prove theorems involving similarity.

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

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

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

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

Analyze, compare, create, and compose shapes.

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

Explain volume formulas and use them to solve problems.

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

Understand similarity in terms of similarity transformations.

Apply trigonometry to general triangles.

Understand congruence in terms of rigid motions.

Reason with shapes and their attributes.

Find arc lengths and areas of sectors of circles.

Understand and apply theorems about circles.

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.

Apply geometric concepts in modeling situations.

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

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.
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: 6