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# MAFS.8.G.2.6

Explain a proof of the Pythagorean Theorem and its converse.
Subject Area: Mathematics
Domain-Subdomain: Geometry
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Understand and apply the Pythagorean Theorem. (Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes

### TEST ITEM SPECIFICATIONS

• Item Type(s): This benchmark may be assessed using: MC , MS , OR item(s)

• Assessment Limits :
For the converse, only perfect roots should be used.
• Calculator :

Yes

• Context :

Allowable

### SAMPLE TEST ITEMS (3)

• Test Item #: Sample Item 2
• Question: The side lengths of a triangle are given.

3, 4, 5

Explain how you know which side will be opposite the right angle.

• Difficulty: N/A
• Type: OR: Open Response

• Test Item #: Sample Item 3
• Question:

Select three side lengths, in centimeters (cm), that can form a right triangle.

• Difficulty: N/A
• Type: MS: Multiselect