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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 # 37 NAME:________________________________<br />

www.jmap.org<br />

186 In the diagram below of ABC, AB ≅ AC,<br />

m∠A = 3x, and m∠B = x + 20.<br />

Wh<strong>at</strong> is the value of x?<br />

1) 10<br />

2) 28<br />

3) 32<br />

4) 40<br />

187 Lines m and n intersect <strong>at</strong> point A. Line k is<br />

perpendicular to both lines m and n <strong>at</strong> point A.<br />

Which st<strong>at</strong>ement must be true?<br />

1) Lines m, n, and k are in the same plane.<br />

2) Lines m and n are in two different planes.<br />

3) Lines m and n are perpendicular to each other.<br />

4) Line k is perpendicular to the plane containing<br />

lines m and n.<br />

188 Wh<strong>at</strong> is the length of the line segment whose<br />

endpoints are (1,−4) and (9,2)?<br />

1) 5<br />

2) 2 17<br />

3) 10<br />

4) 2 26<br />

189 Given the true st<strong>at</strong>ement, "The medians of a<br />

triangle are concurrent," write the neg<strong>at</strong>ion of the<br />

st<strong>at</strong>ement and give the truth value for the neg<strong>at</strong>ion.<br />

190 In the diagram below of rhombus ABCD,<br />

m∠C = 100.<br />

Wh<strong>at</strong> is m∠DBC ?<br />

1) 40<br />

2) 45<br />

3) 50<br />

4) 80<br />

191 Which equ<strong>at</strong>ion represents the line th<strong>at</strong> is<br />

perpendicular to 2y = x + 2 and passes through the<br />

point (4,3)?<br />

1) y = 1<br />

x − 5<br />

2<br />

2) y = 1<br />

x + 1<br />

2<br />

3) y = −2x + 11<br />

4) y = −2x − 5<br />

192 Two lines are represented by the equ<strong>at</strong>ions<br />

x + 2y = 4 and 4y − 2x = 12. Determine whether<br />

these lines are parallel, perpendicular, or neither.<br />

Justify your answer.

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