Standard #: MA.8.G.2.2 (Archived Standard)


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Classify and determine the measure of angles, including angles created when parallel lines are cut by transversals.


Remarks


Students identify congruent angles, and unique pairings of angles that can be used to determine the measure of missing angles.

Example 1: Given that lines k and l are parallel, determine which angles are vertical, complementary, supplementary, and corresponding.

 


example 2: use a map of your town and ask students to identify vertical, complementary, supplementary, and right angles that are formed by the roads.


General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 8
Body of Knowledge: Geometry
Idea: Level 1: Recall
Big Idea: BIG IDEA 2 - Analyze two- and three-dimensional figures by using distance and angle.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 1: Recall - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes

Test Item Specifications

    Item Type(s): This benchmark may be assessed using: MC , GR item(s)
    N/A

    Clarification :
    Students will identify measures of angles in two-dimensional geometric figures.
    Content Limits :
    Items may include the concepts of alternate interior angles, alternate exterior angles, same-side interior angles, same-side exterior angles, vertical angles, corresponding angles, complementary angles, and supplementary angles.

    Items will have no more than two transversals intersecting through two parallel lines.
    Stimulus Attributes :
    Graphics should be used in all of these items.

    Items should be set in either a real-world or mathematical context.


Sample Test Items (2)

Test Item # Question Difficulty Type
Sample Item 1 In the figure below, lines m and n are parallel. Two transversals intersect on n, forming several angles, as shown on the diagram below.

Angles Diagram

What is the measure of ∠ x?

 N/A MC: Multiple Choice
Sample Item 2 Anthony used strips of tape to guide him in painting an advertisement on a rectangular-shaped store window. The strips of tape are parallel and taped on the glass window. When he writes the message, he wants the letters to be slanted at 65 angles. The first word is shown below.

 

Rectangular Figure

What is the measure, in degrees, of ∠ 1?

 N/A GR: Gridded-Response


Related Resources

Educational Software / Tool

Name Description
Glossary

This resource is an online glossary to find the meaning of math terms. Students can also use the online glossary to find words that are related to the word typed in the search box. For example: Type in "transversal" and 11 other terms will come up. Click on one of those terms and its meaning is displayed.

Image/Photograph

Name Description
Angles (Clipart ETC) This large collection of clipart contains images of angles that can be freely used in lesson plans, worksheets, and presentations.

Virtual Manipulative

Name Description
Angles

This lesson is designed to introduce students to different types of angles including acute, obtuse, and right. The lesson also introduces ways to compare angles such as alternate interior, corresponding, and many others. This lesson provides links to discussions and activities related to angles as well as suggested ways to integrate them into the lesson. Finally, the lesson provides links to follow-up lessons designed for use in succession with the current one.

Student Resources

Educational Software / Tool

Name Description
Glossary:

This resource is an online glossary to find the meaning of math terms. Students can also use the online glossary to find words that are related to the word typed in the search box. For example: Type in "transversal" and 11 other terms will come up. Click on one of those terms and its meaning is displayed.



Parent Resources

Educational Software / Tool

Name Description
Glossary:

This resource is an online glossary to find the meaning of math terms. Students can also use the online glossary to find words that are related to the word typed in the search box. For example: Type in "transversal" and 11 other terms will come up. Click on one of those terms and its meaning is displayed.



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