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Geometry Regents at Random Worksheets - JMap

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<strong>Geometry</strong> <strong>Regents</strong> Exam Questions <strong>at</strong> <strong>Random</strong> Worksheet # 55 NAME:________________________________<br />

www.jmap.org<br />

280 The diagram below shows isosceles trapezoid<br />

ABCD with AB DC and AD ≅ BC . If<br />

m∠BAD = 2x and m∠BCD = 3x + 5, find m∠BAD.<br />

281 Triangle ABC has coordin<strong>at</strong>es A(−6,2), B(−3,6),<br />

and C(5,0). Find the perimeter of the triangle.<br />

Express your answer in simplest radical form. [The<br />

use of the grid below is optional.]<br />

282 Which st<strong>at</strong>ement is logically equivalent to "If it is<br />

warm, then I go swimming"<br />

1) If I go swimming, then it is warm.<br />

2) If it is warm, then I do not go swimming.<br />

3) If I do not go swimming, then it is not warm.<br />

4) If it is not warm, then I do not go swimming.<br />

283 In the diagram below of circle O, chords AD and<br />

BC intersect <strong>at</strong> E.<br />

Which rel<strong>at</strong>ionship must be true?<br />

1) CAE ≅ DBE<br />

2) AEC ∼ BED<br />

3) ∠ACB ≅ ∠CBD<br />

4) CA ≅ DB<br />

284 Given ABC with base AFEDC, median BF ,<br />

altitude BD, and BE bisects ∠ABC, which<br />

conclusion is valid?<br />

1) ∠FAB ≅ ∠ABF<br />

2) ∠ABF ≅ ∠CBD<br />

3) CE ≅ EA<br />

4) CF ≅ FA

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