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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 # 80 NAME:________________________________<br />

www.jmap.org<br />

411 Two lines, AB → ←⎯<br />

and CRD → ←⎯⎯⎯<br />

, are parallel and 10<br />

inches apart. Sketch the locus of all points th<strong>at</strong> are<br />

equidistant from AB → ←⎯<br />

and CRD → ←⎯⎯⎯<br />

and 7 inches from<br />

point R. Label with an X each point th<strong>at</strong> s<strong>at</strong>isfies<br />

both conditions.<br />

412 In which triangle do the three altitudes intersect<br />

outside the triangle?<br />

1) a right triangle<br />

2) an acute triangle<br />

3) an obtuse triangle<br />

4) an equil<strong>at</strong>eral triangle<br />

413 One step in a construction uses the endpoints of AB<br />

to cre<strong>at</strong>e arcs with the same radii. The arcs<br />

intersect above and below the segment. Wh<strong>at</strong> is<br />

the rel<strong>at</strong>ionship of AB and the line connecting the<br />

points of intersection of these arcs?<br />

1) collinear<br />

2) congruent<br />

3) parallel<br />

4) perpendicular<br />

414 Given the equ<strong>at</strong>ions: y = x 2 − 6x + 10<br />

y + x = 4<br />

Wh<strong>at</strong> is the solution to the given system of<br />

equ<strong>at</strong>ions?<br />

1) (2,3)<br />

2) (3,2)<br />

3) (2,2) and (1,3)<br />

4) (2,2) and (3,1)<br />

415 Square LMNO is shown in the diagram below.<br />

Wh<strong>at</strong> are the coordin<strong>at</strong>es of the midpoint of<br />

diagonal LN ?<br />

1) 4 1 <br />

1 <br />

,−2<br />

2 2 <br />

2) −3 1 <br />

1 <br />

,3<br />

2 2 <br />

3) −2 1 <br />

1 <br />

,3<br />

2 2 <br />

4) −2 1 <br />

1 <br />

,4<br />

2 2

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