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

Experiment with transformations in the plane.

Understand similarity in terms of similarity transformations.

Define trigonometric ratios and solve problems involving right triangles.

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.

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

Apply trigonometry to general triangles.

Make geometric constructions.

Explain volume formulas and use them to solve problems.

Understand and apply the Pythagorean Theorem.

Analyze, compare, create, and compose shapes.

Understand congruence in terms of rigid motions.

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

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

Find arc lengths and areas of sectors of circles.

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

Apply geometric concepts in modeling situations.

Prove geometric theorems.

Understand and apply theorems about circles.

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

Prove theorems involving similarity.

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

Use coordinates to prove simple geometric theorems algebraically.

Reason with shapes and their attributes.

Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
problem_activity: Problem 1
a.   Draw a pentagon that has two right angles but no parallel sides.
b.   Draw a hexagon with all sides of equal length.
c.   Draw a quadrilateral that is not a parallelogram, rectangle, or square.
Problem 2
Using the
Game Cards
, play the following game with a partner.
Sort the cards into three piles, A, B, and C, according to the letter on the top right of each card.
Place the cards face down into three piles.
Pick one card from each pile.
Flip over the cards you chose. Write down the game card descriptions.
Use the appropriate tool(s) to draw the shape. If the shape is not possible, explain why it is not.


correct_option_index: 25