School Improvement in Maryland

Public Release Item: Public Release items have appeared on HSA forms and then are released for public viewing and use. Releasing items is one step to ensuring that schools, districts, and other stakeholders understand how the core learning goals are assessed on the HSA.

Goal 2 Geometry, Measurement, And Reasoning

Expectation 2.1 The student will represent and analyze two- and three-dimensional figures using tools and technology when appropriate.

Indicator 2.1.2 The student will identify and/or verify properties of geometric figures using the coordinate plane and concepts from algebra.

Assessment Limits:

  • “Verify properties” means to justify solutions using definitions and/or mathematical principles.
  • Properties, relationships, and geometric models include the following:
    • Congruence and similarity
    • line/segment relationships (parallel, perpendicular, intersecting, bisecting, midpoint, median, altitude)
    • point relationships (collinear)
    • angles and angle relationships (obtuse, acute, right)
    • polygons (regular, non-regular, equilateral, equiangular)
    • circle (tangent, radius, diameter, chord).
  • Items for this indicator may be set on the coordinate plane or may just have coordinates identified with no grid.
  • Concepts from algebra include applications of the distance, midpoint, and slope formulas.

Selected Response Item - Released in 2004

A boat travels in a straight line from (0, 0) to (12, 30). What are the coordinates of the boat when it is halfway to its destination?

  1. (0, 15)
  2. (6, 30)
  3. (15, 6)
  4. (6, 15)
/share/clg/xml/public_release/mathematics/2004_212_geo03.xml

Correct Answer:
D

Selected Response Item - Released in 2004

What is the length of the line segment connecting the points (–6, 7) and (4, 9)? Round the answer to the nearest tenth of a unit.

  1. 10.2 units
  2. 13.9 units
  3. 15.3 units
  4. 16.1 units
/share/clg/xml/public_release/mathematics/2004_212_geo08.xml

Correct Answer:
A

Selected Response Item - Released in 2000

Trapezoid PQRS is shown below. TU is parallel to PQ.

What are the coordinates of point U?

  1. (15, 4)
  2. (12, 8)
  3. (9, 4)
  4. (7, 12)
/share/clg/xml/public_release/mathematics/2000_212_geo45.xml

Correct Answer:
A

Selected Response Item - Released in 2000

Triangle JKL has vertices at (0, 0), (2, 0), and (0, 1). How can triangle JKL be classified?

  1. right scalene triangle
  2. right isosceles triangle
  3. scalene triangle, but not a right triangle
  4. isosceles triangle, but not a right triangle
/share/clg/xml/public_release/mathematics/2000_212_geo46.xml

Correct Answer:
A

Selected Response Item - Released in 2003

Look at the diagram below.

Note: The figure is not drawn to scale.

Which ordered pair completes isosceles trapezoid PQRS?

  1. S (4, -2)
  2. S (4, -6)
  3. S (4, -8)
  4. S (4, -10)
/share/clg/xml/public_release/mathematics/2003_212_geo04.xml

Correct Answer:
D

Selected Response Item - Released in 2003

is shown below.

What is the length of the median from point  R to PQ ?

  1. 4 units
  2. units
  3. units
  4. 5 units
/share/clg/xml/public_release/mathematics/2003_212_geo05.xml

Correct Answer:
A

Selected Response Item - Released in 2003

The center of the circle shown below is at (5, 4). A point on the circle is at (12, 15).

Note: The figure is not drawn to scale.

What is the radius of this circle? Round the answer to the nearest tenth of a unit.

  1. 10.0 units
  2. 11.0 units
  3. 12.0 units
  4. 13.0 units
/share/clg/xml/public_release/mathematics/2003_212_geo22.xml

Correct Answer:
D

Selected Response Item - Released in 2001

An architect is designing a ramp for delivery trucks. A drawing of the ramp is shown on the grid below.

What is the slope of the ramp?

  1. -7
     2
  2. -2
     7
  3.  2
     7
  4.  7
     2
/share/clg/xml/public_release/mathematics/2001_212_geo20.xml

Correct Answer:
C

Selected Response Item - Released in 2001

Roller coaster designers make calculations of slope on their drawings. The plans for a roller coaster are shown below.

What is the approximate slope from point A to point B?

  1. -2
  2. -1
     2
  3.  1
     2
  4.  2
/share/clg/xml/public_release/mathematics/2001_212_geo21.xml

Correct Answer:
A

Selected Response Item - Released in 2001

The grid below shows the location of a high school and a library. A community center is at the midpoint between the school and the library.

What are the coordinates of the community center?

  1. (2, 2)
  2. (2, 4)
  3. (4, 2)
  4. (4, 4)
/share/clg/xml/public_release/mathematics/2001_212_geo36.xml

Correct Answer:
D

Selected Response Item - Released in 2001

A lake is shown below. An island is located at (4, 5). A boat travels in a straight line from (2, 0) to the island.

How far does the boat travel? Round the answer to the nearest tenth of a unit.

  1. 3.3 units
  2. 3.7 units
  3. 5.4 units
  4. 7.8 units
/share/clg/xml/public_release/mathematics/2001_212_geo37.xml

Correct Answer:
C

Selected Response Item - Released in 2001

Look at the triangle below.

What is the perimeter of the triangle? Round the answer to the nearest tenth of a unit.

  1. 9.3 units
  2. 12.0 units
  3. 20.6 units
  4. 86.0 units
/share/clg/xml/public_release/mathematics/2001_212_geo38.xml

Correct Answer:
C

Selected Response Item - Released in 2002

Look at the graph below.

Which line on the graph has a slope of ?

/share/clg/xml/public_release/mathematics/2002_212_geo18.xml

Correct Answer:
B

Selected Response Item - Released in 2002

The diagonals of a rhombus intersect at the point (0, 4). If one endpoint of the longer diagonal is located at point (4, 10), where is the other endpoint located?

  1. (0, -6)
  2. (0, -2)
  3. (-4, -14)
  4. (-4, -2)
/share/clg/xml/public_release/mathematics/2002_212_geo19.xml

Correct Answer:
D

Selected Response Item - Released in 2005

The floor plan of a room is shown on the grid below. Connie will put a light where the diagonals of the room intersect.

What are the coordinates of the point where Connie will put the light?

  1. (0, 1)
  2. (0, 2)
  3. (1, 0)
  4. (2, 0)
/share/clg/xml/public_release/mathematics/2005_212_geo08.xml

Correct Answer:
A

Selected Response Item - Released in 2005

Point P(1, 9), point Q(9, 9), and point R(11, 3) are vertices of parallelogram PQRS. What are the coordinates of point S?

  1. (1,3)
  2. (3,3)
  3. (3,9)
  4. (11,9)
/share/clg/xml/public_release/mathematics/2005_212_geo18.xml

Correct Answer:
B

Selected Response Item - Released in 2000

The two most popular tourist attractions in a city are shown on the grid below. A hotel advertises that it is located at the midpoint between the tourist attractions.

What are the coordinates of the hotel?

  1. (3, 6)
  2. (4, 5)
  3. (4, 6)
  4. (6, 4)
/share/clg/xml/public_release/mathematics/2000_212_geo13.xml

Correct Answer:
C

Selected Response Item - Released in 2000

Triangle JKL is shown on the grid below.

What is the length of KL? Round the answer to the nearest tenth of a unit.

  1. 3.2 units
  2. 4.0 units
  3. 11.4 units
  4. 11.7 units
/share/clg/xml/public_release/mathematics/2000_212_geo14.xml

Correct Answer:
C

Selected Response Item - Released in 2000

A trapezoid is shown on the grid below.

What is the slope of each base of the trapezoid?

  1. ¼
  2. ½
  3. 1
  4. 4
/share/clg/xml/public_release/mathematics/2000_212_geo25.xml

Correct Answer:
C

Selected Response Item - Released in 2005

The bus stop is halfway between the tree and the mailbox.

What is the value of x?

  1. 2
  2. 3
  3. 5
  4. 10
/share/clg/xml/public_release/mathematics/2005_212_geo34.xml

Correct Answer:
B

Selected Response Item - Released in 2002

A doctor reads coordinates off a computer screen for the endpoints of a bone.
The endpoints are at (-4,2) and (6,3). What is the length of the bone? Round the answer to the nearest tenth of a unit.

  1. 5.4 units
  2. 6.7 units
  3. 9.2 units
  4. 10.0 units
/share/clg/xml/public_release/mathematics/2002_212_geo17.xml

Correct Answer:
D

Selected Response Item - Released in 2004

Three vertices (P, Q, and R) of a parallelogram are shown below.

Which of these is the only quadrant that could not contain the fourth vertex?

  1. I
  2. II
  3. III
  4. IV
/share/clg/xml/public_release/mathematics/2004_212_geo29.xml

Correct Answer:
C
Resources for 2.1.2:
Skill Statements | PUBLIC RELEASE ITEMS | Lesson Plans |