MA.7.A.1.3Archived Standard

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Solve problems involving similar figures.

Remarks

Example: Rectangle A and rectangle B are similar. The lengths of congruent sides of rectangles A and B are 6 in. and 5 in., respectively. If the perimeter of rectangle A is 30 in., then what is the perimeter of rectangle B?
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 7
Body of Knowledge: Algebra
Idea: Level 3: Strategic Thinking & Complex Reasoning
Big Idea: BIG IDEA 1 - Develop an understanding of and apply proportionality, including similarity.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 3: Strategic Thinking & Complex Reasoning - 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)

  • Clarification :
    Students will use proportional reasoning to solve problems involving similar figures.

    Students will identify conditions necessary to show two figures are similar.
  • Content Limits :
    Items may include graphic representations of three-dimensional objects, but the similar figures being assessed must be two-dimensional figures.

    Items may include diagonals of two-dimensional figures.

    Items will not require the use of the Pythagorean theorem.

    Items will not include circles.

    Items will not include how changes in dimensions affect perimeter, circumference, area, or volume.
  • Stimulus Attributes :
    Graphics may be used in these items.

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

    Items that are set in real-world context may use length and width as dimensions as well as base and height as dimensions.
Sample Test Items (2)
  • Test Item #: Sample Item 1
  • Question: The height and base of isosceles triangle PRQ are shown below.

    Triangle

    Evelyn drew another isosceles triangle that was similar to triangle PRQ. Which of the following could be the dimensions of the triangle Evelyn drew?

  • Difficulty: N/A
  • Type: MC: Multiple Choice
  • Test Item #: Sample Item 2
  • Question: Ramsey is making a label to fit on the front side of the rectangular prism box with a height of 39 centimeters (cm).


    CubeSquare

    Ramsey wants the label to be similar to the front side of the box. If the width of the label is 8 cm, what must be the height, in centimeters, of the label?
  • Difficulty: N/A
  • Type: GR: Gridded-Response

Related Access Points

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