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

Directions:  These are the Part II, III, and IV long response questions.  Have paper ready to work out the problems, then check your answers by clicking the ANSWER button.  You may use your graphing calculator.

Part II:

 29.  In the trapezoid at the right, AH = 4, HB= 16, CD = 14           and m
 30.  In the right triangle shown, AD = x - 2,  AC = x + 2,        and DB = x + 6.  Find the value of x.
 31.  In the triangle at the right,  .  If the ratio          of m
 32.  Triangle ABC has vertices A(1,1), B(3,2) and C(1,6).  Find the new points A'B'C' if the triangle is reflected          across the line x = 0.
 33.  Using a compass and straightedge, construct similar to the given triangle ABC, using the given segment .
 34.  STATEMENT:  "If a diameter of a circle is  perpendicular to a chord, then it bisects the chord."         Write the contrapositive of the statement and state whether it is true or false.         Contrapositive:         True or False?

Part III:

 35.  A triangular prism is shown at the right with .         If AC = 12 cm. and CD = 20 cm., find the volume of the         prism to the nearest tenth of a cubic centimeter.         (The formula for the volume of a prism is V  = Bh, where B is the area           of the base and h is the height.)
 36.  In circle O, is a diameter with .           If , find m
 37.  Solve this system of equations for x and y.

Part IV:

 38.   A rhombus MATH is drawn in the coordinate plane with coordinates given.  Diagonals and are drawn.             M(-2,-1)   A(0,5),  T(6,3)   H(4,-3)         Prove:  The diagonals of rhombus MATH are perpendicular and bisect each other.

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