contains P. d) M contains YX. e) A is on b. f) A and X are in M. g) N contains P. h) AX ends at X. i) YX contains 3 points.
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1 Geometry Practice Test Unit 1 Foundations of Geometry (G.CO.A.1, G.CO.D.12, 8.G.B.8, G.GPE.B.4, G.GPE.B.6, G.CO.C.9) Name: Date: Pd: 1) Euclid was the first mathematician of his time to use the axiomatic method which consisted of four parts: a) terms, which lead to b), which lead to c) (also called axioms, which are accepted as true), which lead to d) (which are proven by deductive reasoning). 2) Determine the term suggested by each of the following: a) The tip of a pencil. b) The ceiling in your classroom. c) Telephone wires. d) The lid of a box. e) Freckles on your face. 3) Use the diagram to classify each statement as true or false: a) P is in M. b) b is in M. c) YX contains P. d) M contains YX. e) A is on b. f) A and X are in M. g) N contains P. h) AX ends at X. i) YX contains 3 points. 4) Use the diagram above to answer the questions: a) Are points Y, X and A collinear? b) Name the line that intersects YX. c) Name a pair of opposite rays. d) What geometric figure is formed when two planes intersect? 5) Use the diagram below to answer the questions: a) Name a point on CD. b) Name the plane containing E, D, and B in two different ways. c) CB and CD are an example of. d) Find and name an angle formed by the intersection of the two lines. e) Name the vertex and sides of the angle found in part (d). f) Are points A, C and E are coplanar? g) Is C an acceptable name for an angle in this diagram? Why or why not? SNRPDP Practice Test Unit 1: Foundations of Geometry NVACS Revised Page 1 of 5
2 6) Sketch and label the following: a) a ray with endpoint M that contains N. b) Plane R containing AB and DE which intersect at Point P. Add C on Plane R so that it is not collinear with AB or DE. c) A right angle, PIG, with IS bisecting it. Label all angle measures. d) CR on a coordinate plane contains C(-2, 4) and R(4, -4). Graph and label C & R and add point A so that A bisects CR. What are the coordinates of A? 7) Which of the following is an incorrect way to name a line? (multiple choice) A) By the closest points on the line. B) By a single lowercase letter. C) By three points on the line. D) By any two points on the line. 8) Construct a segment whose length is the difference of the two given segments. 9) Construct and label an angle, ECF, whose measure is twice the measure of the given angle. D C E 10) The diagram below shows the final step of which construction? Page 2 of 5
3 11) Which of the following constructions at point D in the figure below will produce an angle that measures 45? (multiple choice) A D A) Constructing the bisector of ADC only. B) Constructing a circle with center D only. C) Constructing one perpendicular line. D) Constructing a circle with center D and a perpendicular line. E) Constructing a perpendicular line and an angle bisector. C 12) The figure below shows the construction of the perpendicular bisector of AB using a compass. Which of the following statements must always be true in the construction of the perpendicular bisector? Answer YES or NO for each statement. a) AC = BC b) AC = BD c) AM = MB d) MC = MB 13) Copy AB. Divide it into 4 segments of equal length. 14) Angle Bisectors: a) EFG Is bisected by FH. The m EFG = 56. Find the measures of both unmeasured angles. b) MO bisects LMN. Find the value of x. Page 3 of 5
4 15) Segment Bisectors: a) F 27.5 GH =, FG = b) M is the midpoint of AB A M B x =, AM = 7x ) Use the number line to find each measure. a) BD b) AF c) BG d) BE 17) Graph the points C(2, 2) and D(6, 2). Find the midpoint of CD. Find the length of CD. H G 18) Find the distance between (2, 0) and (10, 15). 19) The point (-3, -6) lies on a circle. What is the length of the radius of this circle if the center is located at (9, -2)? 20) The point (1, 2) lies on a circle. What is the diameter of this circle if the center is located at (7, 10)? 21) If m 2 = 42 and 1 and 2 are complementary angles. Find m 1 22) If m 1 = 92 and 1 and 2 form a linear pair. Find m 2. Page 4 of 5
5 23) Use the given information to find the unknown angles. Given: BOC = 60, DOE = 125, AOD = 160. Find: COD =, BOE =, AOB =. 24) Using the given information, find the value of x and the unknown angle in each problem. Given: WOX = 110, YOZ = 20, VOW = 14 Find: x =, XOY = 25) Use the following diagram to solve: a) Name the angles adjacent to 60. b) Find m TOW. c) UV and TZ intersect at O. Find m ZOV. d) Name the angle vertical to the 30 angle. Page 5 of 5
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