Geometry Regents at Random Worksheets - JMap

Geometry Regents Exam Questions at Random Worksheet # 10 NAME:________________________________
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44 On the set of coordinate axes below, graph the
locus of points that are equidistant from the lines
y = 6 and y = 2 and also graph the locus of points
that are 3 units from the y-axis. State the
coordinates of all points that satisfy both
conditions.
45 What is the slope of a line that is perpendicular to
the line represented by the equation x + 2y = 3?
1) −2
2) 2
3) − 1
4)
1
2
2
46 What is the measure of each interior angle of a
regular hexagon?
1) 60°
2) 120°
3) 135°
4) 270°
47 The angles of triangle ABC are in the ratio of
8:3:4. What is the measure of the smallest angle?
1) 12º
2) 24º
3) 36º
4) 72º
48 Chords AB and CD intersect at E in circle O, as
shown in the diagram below. Secant FDA and
tangent FB are drawn to circle O from external
point F and chord AC is drawn. The mDA = 56,
mDB = 112, and the ratio of mAC :mCB = 3:1.
Determine m∠CEB. Determine m∠F . Determine
m∠DAC .
49 A paint can is in the shape of a right circular
cylinder. The volume of the paint can is 600
cubic inches and its altitude is 12 inches. Find the
radius, in inches, of the base of the paint can.
Express the answer in simplest radical form. Find,
to the nearest tenth of a square inch, the lateral
area of the paint can.