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JEFFERSON MATH PROJECT REGENTS BY CHAPTER - JMap

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Math A & B Regents Exam Questions by Prentice Hall Chapter - Geometry Page 38<br />

www.jmap.org<br />

260. In the accompanying diagram of ABCD, where<br />

a ≠ b, prove ABCD is an isosceles trapezoid.<br />

GEOMETRY <strong>CHAPTER</strong> 9-3<br />

GEOMETRY <strong>CHAPTER</strong> 9-6<br />

264. Ashanti is surveying for a new parking lot shaped<br />

like a parallelogram. She knows that three of the<br />

vertices of parallelogram ABCD are A(0,0),<br />

B(5,2), and C(6,5). Find the coordinates of<br />

point D and sketch parallelogram ABCD on the<br />

accompanying set of axes. Justify mathematically<br />

that the figure you have drawn is a parallelogram.<br />

261. Which quadrilateral must have diagonals that are<br />

congruent and perpendicular?<br />

[A] parallelogram<br />

[C] trapezoid<br />

[B] rhombus<br />

[D] square<br />

262. In the accompanying diagram of rectangle<br />

ABCD, m∠ BAC = 3x<br />

+ 4 and<br />

m∠ ACD = x + 28 .<br />

265. Given: A(1,6), B(7,9), C(13,6), and D(3,1)<br />

Prove: ABCD is a trapezoid. [The use of the<br />

accompanying grid is optional.]<br />

What is m∠ CAD ?<br />

[A] 12 [B] 37 [C] 50 [D] 40<br />

263. In rectangle ABCD, AC = 3x<br />

+ 15 and<br />

BD = 4x<br />

− 5. Find the length of AC.

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