EOC Geometry Practice Test with Answers

1) An 85-foot wire is tied from the top of a utility pole to the top of the building as shown below. Find d, the distance from the pole to the building.

2) Identify the scale factor that was used to graph ∆W’X’Y’.

3) Four streets feed into a roundabout circle as shown below. If the diameter of the roundabout is 130 feet, find the approximate distance a car will travel between Cole Street and Maple Street along the roundabout.

4) Given the circle below, find PQ.

5) If \overline{\rm BC} || \overline{\rm DE} , find the value of x.

6) Find the probability that a point chosen at random will lie in the shaded area.

7) A crosswalk connects two sidewalks along the street below. If the sidewalks are parallel, what is the value of x?

8) Jayden is on his boat riding through the Cooper River. He spots the Cooper River Bridge at an angle of elevation of 42⁰. If the bridge stands 761 feet above Jayden’s viewing point on the boat, what is the horizontal distance from Jayden to the bridge?

9) Which transformation was used to map F’G’H’?

10) Which equation represents a line parallel to y = -2x + 9?

11) Which of the following statements is false?

12) Which is the converse of the statement “If a quadrilateral is a square, then its diagonals are perpendicular.”?

13) If ∆ABC is an equilateral triangle and BD = 36 inches, find the value of x.

14) Find the surface area of the cylinder in terms of Π

15) Rhombus JKLM is shown below. Find m∠KLM.

16) Chords \overline{\rm AB} and \overline{\rm CD} intersect as shown below. Find the length of \overline{\rm CD} .

17) If the perimeter of a square is 68 feet, find the approximate length of its diagonal ________ feet.

18) What value of x would prove a || b?

19) Parallelogram CDEF has vertices C(-4, -4), D(-2, 0), E(6, 2) and F(4, -2). Which ordered pair represents the intersection of the diagonals?

20) Which quadrilateral always has diagonals that are congruent but not necessarily perpendicular?

21) BC is tangent to circle A at B and to circle D at C (not drawn to scale). AB = 7,; BC = 18, and DC = 5. Find AD to the nearest tenth.

22) Let p represent “Vertical angles are congruent” and q represent “All apples are red.”

Which symbolic notation represents a true statement?

23) If each interior angle of a regular hexagon measures (13x + 3)°, find the value of x.

24) If \overline{\rm ED} is tangent to circle H, find the value of x.

25) \overline{\rm QR} is located at Q(-5, -8) and R(-1, 3). Which pair of points would form a segment congruent to \overline{\rm QR} ?

26) Which proves as a counterexample to the statement “All capital letters have at least one line of symmetry.”

27) Find the surface area of the pyramid shown to the nearest whole number.

28) hombus STUV is located at S(-5, 4), T(-1, 5), U(-2, 1), and V(-6, 0). If STUV is translated along the rule (x, y) → (x + 7, y – 8), which quadrant will the new rhombus be located?

29) If the sum of the interior angle measures of a convex polygon is 2,160°, how many sides does the polygon have?

30) Find the slant height x of the pyramid shown to the nearest tenth

31) A regular pentagon has what type of symmetry?

32) If QRST is an isosceles trapezoid, find m∠R.

33) Use formulas to find the lateral area and surface area of the given prism. Show your answer to the nearest whole number.

34) If \overline{\rm RT} ⊥ \overline{\rm SW} , m∠RSU = (5x + 17)°, and m∠VST = (9x – 11)°, find m∠WSV.

35) Which diagram shows a pair of angle measures that prove j || k?

36) Given circle S, find m∠TUV.

37) Statement A: “If Lindsay is traveling on an airplane, then she will need a boarding pass.”3

Statement B: “If Lindsay does not need a boarding pass, then she is not traveling on an airplane.”

Statement B is the –

38) Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x. (Figures are not drawn to scale.)

m ∠ O = 111

39) Find the surface area of the cone in terms of Π

40) Which is not a line of symmetry in the figure below?