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Name: ________________________ Class: ___________________ Date: __________ ID: Z Unit 3 Chapter 1 Test Review 1. If EF 9 and EG 28 , find the value of FG. The drawing is not to scale. 2. What is the length of AD? 3. Name the intersection of plane RNP and plane M N P. 6. What segment is congruent to CD? 4. If EF 10x 15, FG 22, and EG 97 , find the value of x. The drawing is not to scale. 7. Find the distance between points P(5, 5) and Q(1, 4) to the nearest tenth. 8. What is the name of the ray that is opposite CD ? 5. If mEOF 36 and mFOG 22, then what is the measure of EOG? The diagram is not to scale. 1 Name: ________________________ ID: Z 11. If mDEF 109, then what are mFEG and mHEG? The diagram is not to scale. 9. What are the names of three collinear points? mFEG = __________ mHEG=_________ 12. If Z is the midpoint of RT , what are x, RZ, and RT? 10. What are the names of four coplanar points? x= _______ RZ=______ RT=______ 13. What are the names of the segments in the figure? 2 Name: ________________________ ID: Z 18. If mAOC 61, mBOC 2x 10, and mAOB 4x 15, find the degree measure of BOC and AOB. The diagram is not to scale. 14. If T is the midpoint of SU , what are ST, TU, and SU? ST= __________ TU=_________ SU=__________ mBOC _ _ _ _ _ _ _ mAOB _ _ _ _ _ _ _ . 15. Name an angle adjacent to FGI. 19. MO bisects LMN, mLMO 6x 25, and mNMO 2x 31. Solve for x and find mLMN. The diagram is not to scale. x = ________ mLMN = ________ 16. Find the coordinates of the midpoint of the segment whose endpoints are H(2, 4) and K(4, 10). 17. T(2, 9) is the midpoint of CD. The coordinates of D are (2, 14). What are the coordinates of C? 3 Name: ________________________ ID: Z 20. Name an angle vertical to FGI. 22. When the net is folded into the rectangular prism shown beside it, which letters will be on the front and bottom of the rectangular prism? 21. 1 and 2 are a linear pair. m1 x 34, and m2 x 100. Find the measure of each angle. m1 = ______ m2 = ______ 4 ID: Z Unit 3 Chapter 1 Test Review Answer Section 1. ANS: 19 PTS: 1 DIF: L2 REF: 1-3 Measuring Segments OBJ: 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.b TOP: 1-3 Problem 2 Using the Segment Addition Postulate KEY: coordinate | distance 2. ANS: 15 PTS: 1 DIF: L2 REF: 1-3 Measuring Segments OBJ: 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.b TOP: 1-3 Problem 1 Measuring Segment Lengths KEY: coordinate | distance 3. ANS: NP PTS: OBJ: NAT: KEY: 4. ANS: x6 1 DIF: L4 REF: 1-2 Points, Lines, and Planes 1-2.1 To understand basic terms and postulates of geometry CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 3 Finding the Intersection of Two Planes plane | intersection PTS: 1 DIF: L3 REF: 1-3 Measuring Segments OBJ: 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.b TOP: 1-3 Problem 2 Using the Segment Addition Postulate KEY: coordinate | distance 5. ANS: 58 PTS: 1 DIF: L3 REF: 1-4 Measuring Angles OBJ: 1-4.1 To find and compare the measures of angles NAT: CC G.CO.1| M.1.d| G.3.b TOP: 1-4 Problem 4 Using the Angle Addition Postulate KEY: Angle Addition Postulate 6. ANS: AB PTS: 1 DIF: L3 REF: 1-3 Measuring Segments OBJ: 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.b TOP: 1-3 Problem 3 Comparing Segment Lengths KEY: congruent segments 7. ANS: 4.1 PTS: OBJ: NAT: KEY: 1 DIF: L3 REF: 1-7 Midpoint and Distance in the Coordinate Plane 1-7.2 To find the distance between two points in the coordinate plane CC G.GPE.6| CC G.GPE.4| CC G.GPE.7| G.3.b| G.4.a TOP: 1-7 Problem 3 Finding Distance Distance Formula | coordinate plane 1 ID: Z 8. ANS: CA PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and Planes OBJ: 1-2.1 To understand basic terms and postulates of geometry NAT: CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 2 Naming Segments and Rays KEY: ray | opposite rays 9. ANS: Points C, A, and B are collinear. PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and Planes OBJ: 1-2.1 To understand basic terms and postulates of geometry NAT: CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 1 Naming Points, Lines, and Planes KEY: collinear | point 10. ANS: Points Z, X , Y , and U are coplanar. PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and Planes OBJ: 1-2.1 To understand basic terms and postulates of geometry NAT: CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 1 Naming Points, Lines, and Planes KEY: coplanar | point 11. ANS: mFEG 71, mHEG 109 PTS: 1 DIF: L3 REF: 1-4 Measuring Angles OBJ: 1-4.1 To find and compare the measures of angles NAT: CC G.CO.1| M.1.d| G.3.b TOP: 1-4 Problem 4 Using the Angle Addition Postulate KEY: Angle Addition Postulate 12. ANS: x = 20, RZ = 149, and RT = 298 PTS: 1 DIF: L3 REF: 1-3 Measuring Segments OBJ: 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.b TOP: 1-3 Problem 4 Using the Midpoint KEY: midpoint 13. ANS: The three segments are PQ, QR, and PR . PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and Planes OBJ: 1-2.1 To understand basic terms and postulates of geometry NAT: CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 2 Naming Segments and Rays KEY: segment 14. ANS: ST = 35, TU = 35, and SU = 70 PTS: 1 DIF: L4 REF: 1-3 Measuring Segments OBJ: 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.b TOP: 1-3 Problem 4 Using the Midpoint KEY: midpoint 2 ID: Z 15. ANS: JGI PTS: OBJ: NAT: KEY: 16. ANS: (3, 7) 1 DIF: L3 REF: 1-5 Exploring Angle Pairs 1-5.1 To identify special angle pairs and use their relationships to find angle measures CC G.CO.1| M.1.d| G.3.b TOP: 1-5 Problem 1 Identifying Angle Pairs adjacent angles PTS: OBJ: NAT: KEY: 17. ANS: (2, 4) 1 DIF: L2 REF: 1-7 Midpoint and Distance in the Coordinate Plane 1-7.1 To find the midpoint of a segment CC G.GPE.6| CC G.GPE.4| CC G.GPE.7| G.3.b| G.4.a TOP: 1-7 Problem 1 Finding the Midpoint coordinate plane | Midpoint Formula PTS: 1 DIF: L2 REF: 1-7 Midpoint and Distance in the Coordinate Plane OBJ: 1-7.1 To find the midpoint of a segment NAT: CC G.GPE.6| CC G.GPE.4| CC G.GPE.7| G.3.b| G.4.a TOP: 1-7 Problem 2 Finding an Endpoint KEY: coordinate plane | Midpoint Formula 18. ANS: mBOC 32; mAOB 29 PTS: 1 DIF: L3 REF: 1-4 Measuring Angles OBJ: 1-4.1 To find and compare the measures of angles NAT: CC G.CO.1| M.1.d| G.3.b TOP: 1-4 Problem 4 Using the Angle Addition Postulate KEY: Angle Addition Postulate 19. ANS: x = 14, mLMN 118 PTS: 1 DIF: L3 REF: 1-5 Exploring Angle Pairs OBJ: 1-5.1 To identify special angle pairs and use their relationships to find angle measures NAT: CC G.CO.1| M.1.d| G.3.b TOP: 1-5 Problem 4 Using an Angle Bisector to Find Angle Measures KEY: angle bisector 20. ANS: HGE PTS: 1 DIF: L3 REF: 1-5 Exploring Angle Pairs OBJ: 1-5.1 To identify special angle pairs and use their relationships to find angle measures NAT: CC G.CO.1| M.1.d| G.3.b TOP: 1-5 Problem 1 Identifying Angle Pairs KEY: vertical angles 21. ANS: 1 23, 2 157 PTS: OBJ: NAT: KEY: 1 DIF: L3 REF: 1-5 Exploring Angle Pairs 1-5.1 To identify special angle pairs and use their relationships to find angle measures CC G.CO.1| M.1.d| G.3.b TOP: 1-5 Problem 3 Finding Missing Angle Measures supplementary angles| linear pair 3 ID: Z 22. ANS: The letter on the front will be C. The letter on the bottom will be D. PTS: OBJ: NAT: KEY: 1 DIF: L2 REF: 1-1 Nets and Drawings for Visualizing Geometry 1-1.1 To make nets and drawings of three-dimensional figures CC G.CO.1| G.1.d| G.1.e| G.3.b TOP: 1-1 Problem 1 Identifying a Solid From a Net net 4