EOC Geometry Practice Test with Answers

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

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

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

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

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

6) Which of the following statements is false?

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

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

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

10) 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?

11) Given circle S, find m∠TUV.

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

13) A regular pentagon has what type of symmetry?

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

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

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

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

18) 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?

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

20) Given the circle below, find PQ.

21) 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.

22) \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} ?

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

24) 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

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

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

27) 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.

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

Which symbolic notation represents a true statement?

29) 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?

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

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

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

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 QRST is an isosceles trapezoid, find m∠R.

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

36) 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 –

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

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

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

40) 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.