### Descriptive Statements:

- Analyze the use of various units and unit conversions within the customary and metric systems.
- Calculate or estimate measures of lengths, areas, and volumes.
- Apply the concepts of similarity, scale factors, and proportional reasoning to solve indirect measurement problems.
- Analyze precision, accuracy, and rounding in measurements and computed quantities.

### Sample Item:

A car is traveling at a speed of 100 kilometers per hour.
What is its approximate speed in meters per second?

- 28 meters per second
- 36 meters per second
- 280 meters per second
- 360 meters per second

Correct Response and Explanation (ShowHide)

**A. ** This question requires the examinee to analyze the use of various units
and unit conversions within the customary and metric systems. Both units in the given quantity must be
converted: kilometers to meters and hours to seconds.

### Descriptive Statements:

- Analyze properties of points, lines, planes, and angles.
- Use the properties of triangles, quadrilaterals, and other polygons and circles to solve problems.
- Apply principles of similarity and congruence.
- Apply the Pythagorean theorem and its converse.
- Use nets, cross sections, and projections to analyze three-dimensional figures.
- Analyze geometric arguments using deductive reasoning.

### Sample Item:

### Descriptive Statements:

- Analyze two- and three-dimensional figures using coordinate systems.
- Connect algebra and geometry by applying concepts of distance, midpoint, and slope to classify figures and solve problems in the coordinate plane.
- Analyze transformations of figures in the coordinate plane.
- Analyze figures in terms of symmetry, and tessellations of the plane.

### Sample Item:

The end points of one diagonal of a parallelogram are (1, 3) and (1, –3). The end points of its other diagonal are (3, 1) and (–1, –1). What is the perimeter of the parallelogram?

- 10
- 20

Correct Response and Explanation (ShowHide)

**D. ** This question requires the examinee to connect algebra and geometry by
applying concepts of distance, midpoint, and slope to classify figures and solve problems in the coordinate plane. Use points (1, 3) and (3, 1), then points (3, 1) and (1, –3), and the distance formula to find the length of two different sides of the parallelogram: . There are two of each of these sides, thus the perimeter of the parallelogram is .