Regents Practice TEST 2 Interactive Version - Multiple Choice Geometry Level Return to Test List | Geometry Index | Regents Exam Prep Center

Directions:  Choose the best answer.  Answer ALL questions (or only a few at a time), then use the BUTTON at the BOTTOM of the page to check your answers.  If you are told that an answer is incorrect, go back and redo that question and CHECK ANSWERS again.   You may CHECK ANSWERS at any time.
You may use your graphing calculator when working on these problems.

1.   What is the measure of each interior angle of a regular pentagon?
[1]  72º                           [2]  108º                      [3]  120º                   [4]  180º

2.
A triangle has each of its three angle bisectors constructed with the intersection point labeled S.  Which of the
following statements is true?

[1] The angle bisectors may intersect outside of the triangle.
[2]  A circle with center at point S will intersect each vertex of the triangle.
[3]  Point S is equidistant from each of the sides of the triangle.
[4]  None of the above are true.

3.
Which equation, or set of equations, represent(s) the locus of points equidistant from the two lines x = 6 and x = -2?

[1] x = 2                     [2] x = 4                      [3]  y = 4                  [4]  x = 10 and x = -6

4. In the diagram at the right,
and .  Which method proves
that ?
 [1]  ASA (Angle-Side-Angle)   [3]  SAS (Side-Angle-Side)  [2]  AA (Angle-Angle)            [4]  HL (Hypotenuse-Leg)

5.

In a rectangle, the diagonal measures 34 and the longer side measures 30.  Find the length of the shorter side
of the rectangle.

[1]  4                                    [2]  8                       [3]  16                           [4]

6.

In DB = 4, AD = 8, and DE = 5.  Find AC.
 [1]  9      [2]  10         [3]  12.5       [4]  15

7.
A circle has the equation .  Under a translation the center of the circle will be located at which point?

[1]  (5, 1)                            [2]  (1, 9)                     [3] (-6, 20)                   [4]  (7, -1)

8.
What is the equation of a line parallel to the line whose equation is  3y + 5x = 6 and whose y-intercept is 4?

[1]  y = 5x + 4                      [2]             [3]  y = 5x - 4                [4]

9.
Find the exact area in square units of a regular hexagon whose radius is 8 units.

[1]  96 sq. units                  [2]  sq. units       [3] 192 sq. units       [4]  sq. units

10.

If S = "It is snowing." and C = "It is cold.", which statement is ?

[1]  It is not cold, and it is snowing.                       [3]  It is not snowing or it is cold.
[2]  If it is not cold, then it is snowing.                   [4]  It is not cold or it is snowing.

11.
The equation of two lines are  and  2y = x - 12.  What is the equation of the locus of points
equidistant from the two given lines?

[1]                         [3]
[2]  y = 2x - 1                          [4]  y = 2x - 8

12.

The endpoints of the diameter of a circle are located at (-4, 1) and (2, 9).  Find the coordinates of the center
of the circle.

[1]   (-2,10)                         [2]  (-2,8)                   [3]  (6,8)                      [4]  (-1,5)

13. In the rectangular solid at the right, the vertices are labeled as shown.  Which set of points are not coplanar in this diagram?
 [1]  A, B, C, D               [3]  A, B, F, G       [2]  C, D, H, G             [4]  A, D, H, E

 14 The diagram at the right is a construction involving

15.
In the diagram, line l1 is parallel to line l2, m<3 = 30 and m<4 = 110.  Find m<2.

[1]  60º        [2]  80º       [3]  100º         [4]  120º

16.

What is the converse of the statement:  "If ABCD is a rectangle, then the diagonals bisect each other."

[1]  If the diagonals of ABCD bisect each other, then ABCD is a rectangle

[2]  If ABCD is not a rectangle, then the diagonals do not bisect each other.
[3]  ABCD is a rectangle and the diagonals bisect each other.
[4]  If the diagonals of ABCD do not bisect each other, then ABCD is not a rectangle.

17.  In rhombus PQRS, PR = 24 and QS = 10.  Find the perimeter of the
rhombus.
[1]  52             [2]  104          [3]  26            [4]  39

18.

In circle O, diameter  is perpendicular to chord at E.  If CD = 8 and BE = 2, find AE.

[1]              [2]  8            [3]  10              [4]  16

19.

A triangle has coordinates A(0,0), B(6,2) and C(6,0).  After a translation R180º, what are the coordinates of B' ?

[1]   (-2,6)                 [2]   (-6,2)                       [3]  (-6,-2)                     [4]  (2,-6)

20.
What is the equation of a line that is parallel to the line 2x + 5y = -20 and passes through the point (-5,-3)?

[1]            [2]               [3]               [4]

21.  Plane m and plane n are two distinct planes that intersect at line l.  Line k is drawn perpendicular to plane n.  Which of the following statements is always true?
 [1]  Plane m is perpendicular to plane n. [2]  Line k is not perpendicular to plane m. [3]  Line k is perpendicular to line l. [4]  Line k is perpendicular to plane m.

22.

In circle O, secant intersects the circle at C and secant intersects the circle at A.  If SC = 6, CD = 8 and SA = 4, find AB.

 [1]             [2]   17        [3]   21         [4]

23.
Which point satisfies the system of equations,  y = 2x + 2   and  y = -x2 + 2  ?
[1]  (0,2)                [2]  (-1,0)                  [3]  (1,2)                [4]  (2,-4)

24.
In two similar polygons, the ratio of two corresponding sides is 3:2.  If the perimeter of the smaller polygon
is represented by  x + 14  and the perimeter of the larger polygon is represented by  4x - 4,  find the actual
perimeter of the larger polygon.

[1]  10                   [2]  20                       [3]  30                   [4]  36

 25 Quadrilateral PQRS is plotted in the coordinate plane as shown.  Find the length of diagonal PR. [1]  13                  [3]        [2]                [4]

26.
Which statement describes a circle with the equation (x + 4)2 + (y - 6)2 = 36 ?

[1]  The center is at (-4,6) and the radius is 36.
[2]  The center is at (4,-6) and the radius is 36.
[3]  The center is at (4,-6) and the radius is 6.
[4]
The center is at (-4,6) and the radius is 6.

 27 A line segment connects point A (-2,6) to point B (4,6).  After the transformation of  , what will be the length of the segment.  Assume the center of the dilation to be the origin. [1]   6                [2]  2               [3]  3               [ 4]  4

28.

A cube has an edge length represented by x - 3.  Find the surface area of the cube.

[1]  8x2 - 48x + 12        [2]  6x2 - 36x + 54      [3]  6x2 + 54            [4]  4x2 - 24x + 36

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