EOC Geometry Practice Test with Answers

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

Which symbolic notation represents a true statement?

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

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

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

5) Which of the following statements is false?

6) Given the circle below, find PQ.

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

8) 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.

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

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

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

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

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

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

15) 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.

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

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

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

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

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

21) 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?

22) 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?

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

24) 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?

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

26) 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

27) Given circle S, find m∠TUV.

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

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

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

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

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

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

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

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

36) A regular pentagon has what type of symmetry?

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) 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.

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

40) \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} ?