Points, Lines, And Angles

Table of ContentsGeometric Figure Sort 2 . 48Geometric Figures: Mixed Practice. 49Introduction . 5Points, Lines, and AnglesArea, Perimeter, and VolumeIdentifying Points and Lines . 6Identifying Rays, Line Segments, and Lines . 7Drawing and Identifying Points, Rays,Line Segments, and Lines . 8Identifying Intersecting, Perpendicular, andParallel Lines.9Lines: Mixed Practice .10Identifying Angles .11Drawing and Identifying Angles. 12Measuring Angles. 13Identifying Planes .14Angles and Lines: Mixed Practice .15Angles and Lines: More Mixed Practice .16Perimeter. 50Perimeter of Polygons.51Finding the Perimeter of Squares andRectangles Using Multiplication. 52Perimeter Word Problems . 53Exploring Area . 54Counting Square Units . 55Area of Squares and Rectangles . 56Perimeter and Area of Rectangles Table . 57Changing the Area and Perimeter . 58Area of Parallelograms . 59Area of Triangles . 60Area of Triangles Table. 61Area of Trapezoids . 62Missing Area . 63Area Word Problems . 64Area and Perimeter Word Problems. 65Exploring Volume . 66Volume of Rectangular Prisms. 67Volume of Rectangular Prisms Table . 68Volume Multiple Choice .69Circumference and Pi (π) . 70Circumference of a Circle . 71Solving for the Circumference of a Circle . 72Geometric FiguresIdentifying Polygons.17Naming Polygons .18Classifying Triangles by Sides. 19Identifying Triangles by Sides . 20Classifying Triangles by Angles. 21Identifying Triangles by Angles . 22Classifying Triangles: Mixed Practice . 23Classifying Triangles: More Mixed Practice . 24Angle Measurements in a Triangle . 25Unknown Angles. 26Quadrilaterals: Parallelogramsand Trapezoids . 27Angle Measurements in Quadrilaterals. 28Other Polygons .29Identifying Polygons. 30Polygon Puzzle . 31Polygons: Mixed Practice . 32Identifying Parts of a Circle . 33Finding the Diameter of a Circle . 34Finding the Radius of a Circle . 35Diameter and Radius: Mixed Practice . 36Labeling the Parts of a Circle . 37Labeling Circles . 38Drawing Circles .39Circles: Mixed Practice . 40Identifying Solid Figures .41Solid Figures: Prisms, Cubes, and Pyramids . 42Solid Figures: Cylinders, Cones, and Spheres .43Challenge: 2-D Nets . 44Solid Figures: Mixed Practice . 45Drawing Solid Figures. 46Geometric Figure Sort 1. 47 Carson-Dellosa CD-104244Congruence, Symmetry, andTransformationsCongruent Figures . 73Similar Figures . 74Congruent vs. Similar Figures . 75Butterfly Symmetry . 76Line Symmetry . 77Snowflake Symmetry. 78Drawing Figures with Symmetry .79More Drawing Figures with Symmetry . 80Drawing Lines of Symmetry . 81More Drawing Lines of Symmetry . 82Lines of Symmetry: Mixed Practice . 83Slides, Flips, and Turns . 84Identifying Slides, Flips, and Turns . 85Drawing Slides, Flips, and Turns . 86Turns by Degrees . 87Mixed Practice . 88Review .89Tessellations . 90Designing Tessellations . 91 Geometry

Table of ContentsCoordinate GraphingCoordinate Graphing .92Coordinate Polygons .93My Neighborhood. 94Favorite Places . 95Toy Store Hunt .96Coordinate Graphing Riddle . 97What Am I? . 98Symmetrical Graphing .99Coordinate Graphing: Mixed Review 1 .100Coordinate Graphing: Mixed Review 2.101Coordinate Graphing: Mixed Review 3. 102References, Final Review, Answer KeyFinal Review . 103Formulas . 109Glossary of Geometric Terms .110Answer Key .114 Carson-Dellosa CD-1042444Geometry

IntroductionThe main objective of Geometry 4–5 is to give students focused, grade-level appropriatepractice to help them develop and reinforce geometry skills. To aid in this experience, thebook offers an explanation of each individual skill followed by a variety of activities. Theseactivities will ensure a greater understanding of each skill that is introduced.Geometry 4–5 is divided into five sections. Each section is designed to lead students throughthe fundamentals of a skill to a challenging review. The concepts covered in this bookinclude measuring angles; identifying polygons; calculating area, perimeter, and volume;coordinate graphing; and more. Included on page 109 is a list and explanation of commongeometric formulas. A glossary of geometric terms is provided on pages 110–113.Geometry 4–5 is a great way to challenge students and to aid those in need of extrapractice. Either focus for this book will yield the same result—an increased interest andunderstanding of valuable geometric concepts. Observe as your students experience howstimulating geometry can be.Some Helpful Geometry SymbolsThis is the symbol for line. It is used above the letters thatname a line. For example, AB is read line AB. Any points onthe line may be used to name it.This is the symbol for ray. It is used above the letters thatname a ray. For example, CD is read ray CD. The endpointof the ray is written first, and any point on the ray may beused next.This is the symbol for line segment. It is used above theletters that name a line segment. For example, DE is readline segment DE. The line segment must be named by itsendpoints. This is the symbol for angle. It is used in front of theletters that name an angle. For example, XYZ is readangle XYZ. Three points are used to name an angle: anendpoint first, the vertex (middle point) second, and theother endpoint last. Carson-Dellosa CD-1042445ABDCDEZYXGeometry

Name:Unit 1Identifying Points and LinesDate:Points, Lines, and AnglesA point is a position in a plane or in space that has no dimensions.The points to the right are named Points A, B, and C, or Point A, PointB, and Point C.BAA line is a set of points in a straight path that extends infinitelyin two directions. The line to the right is named AB. Any pointson the line may be used to name it.ACBIdentify the following as a point, points, or a line.1.2.ABVW .4.5.ZXTC .D7.J8.KORV Carson-Dellosa CD-104244XW Geometry

Name:Unit1IdentifyingRays, Line Segments,Date:Points, Lines, and Anglesand LinesA ray is a portion of a line that extends from one endpointinfinitely in one direction. The ray to the right is named AB,with the endpoint written first and any point on the raywritten next.A line segment is a finite portion of a line that containstwo endpoints. The segment to the right is named AB. Thesegment must be named by its two endpoints.BAABIdentify the following as a line, ray, line segment, or points.1.2.YXDE .S4.TW5. .CD8.KMJ Carson-Dellosa CD-104244JHI7.XL7Geometry

Name:Unit 1Drawing and Identifying Points, Rays,Line Segments, and LinesDate:Points, Lines, and AnglesDraw and label each of the following.1. AB2. Points C and D . RS4. Points L, M, and N5. MN . JKUse the figure to the right to answer each question.7. Name four points.8. Name two line segments.O9. Name the line three different ways.L10. Name three rays.MNUse the figure to the right to answer each question.11. Name three points.XY12. Name the two lines.1 . Name four line segments.ZVW14. Name four rays. Carson-Dellosa CD-1042448Geometry

Name:Unit1IdentifyingIntersecting, Perpendicular,and Parallel LinesDate:Points, Lines, and AnglesMNIntersecting lines are lines that cross each other at onepoint, called the point of intersection. X is the point ofintersection of lines LM and NO.XOLPerpendicular lines are two lines that form a right angle at thepoint of intersection. A small box is used to show that an angleis a right angle (90 ).Parallel lines are two lines in the same plane that donot intersect. Small arrows are used to show that lines are parallel.CSolve.BS1. What is the point of intersection of AB and CD?ADDraw and label.2. LN intersects MK at point B. . Y is the point at which XZintersects WV.Identify the lines as parallel, perpendicular, or neither.4.5. Carson-Dellosa CD-104244 .9Geometry

Name:Unit 1Lines: Mixed PracticePoints, Lines, and AnglesCircle the correct name for each figure.TUline segment T1.2.XN .4. .8.MR5.7.YPBAFGCEMNDate:line segment TUline TUline segment XYline Yline XYline segment MNline Mray MNline Rline segment RPline RPline ABline segment BAline CAline segment FGline GFray FGline CDline segment CEray CEline segment MNray NMline MNCircle the correct set of lines.9. Which lines are perpendicular?10. Which lines intersect?11. Which lines are parallel?Use the figure to the right to answer each question.12. Name the point of intersection.Z1 . Name the two lines that intersect.14. Name four line segments.CDBE15. Name four rays. Carson-Dellosa CD-10424410Geometry

Name:Unit 1Identifying AnglesDate:Points, Lines, and AnglesAn angle is formed when two rays share an endpoint.A right angle is anangle that measures90 degrees.An obtuse angle is anangle that measuresmore than 90 degrees butless than 180 degrees.An acute angleis an angle thatmeasures less than90 degrees.Identify each angle as right, obtuse, or acute.1.2.4. .5.7. .8.10. Carson-Dellosa CD-1042449.11.12.11Geometry

Name:Unit 1Drawing and Identifying AnglesDate:Points, Lines, and AnglesDraw the following angles.1. right angle2. obtuse angle . acute angleBelow are examples of things you may find around your home. Look at each boldedangle and identify it as right, obtuse, or acute.4.5.7. .8.10.9.11.1 . Carson-Dellosa CD-10424412.14.15.12Geometry

Unit 1Answer KeyPage 61. line AB; 2. points V and W; 3. point T; 4. lineXZ; 5. line CD; 6. line WX; 7. line JK; 8. points R,V, and OPage 71. ray XY; 2. line segment DE; 3. points S and T;4. line WX; 5. line CD; 6. points H, I, and J;7. line segment JK; 8. ray LMPage 81.A3.5.B; 2. CRSMN; 4. L; 6.DMN;KPage 111. obtuse; 2. right; 3. acute; 4. acute; 5. right;6. right; 7. right; 8. acute; 9. acute; 10. obtuse;11. right; 12. acutePage 121.–3. Answers will vary; 4. acute; 5. right;6. obtuse; 7. right; 8. right; 9. acute; 10. right;11. right; 12. acute; 13. acute; 14. right;15. acute;Jinclude CZ, CE, ZE, DB, DC, C B; 15. Answerswill vary but may include CZ, CD, CE, CB, EZ,DB, ZE, BDPage 13;1. 160 , obtuse; 2. 95 , obtuse; 3. 130 , obtuse;4. 40 , acute; 5. 90 , right; 6. 70 , acute7. L, M, N, O; 8. Answers will vary but mayinclude LM, MN, OM, LN; 9. LM, LN, MN;10. Answers will vary but may include ML, LN,MO, ML, MN, NM, NL; 11. Answers will varyPage 141.Cbut may include X, Y, Z, V, W; 12. Answers willAvary but may include XW, XY, YW, VY, YZ, VZ;13. Answers will vary but may include YX, VZ,BGFDHYW, ZY, VY, XW; 14. Answers will vary but may2. Answers will vary but must include threenoncollinear points; 3. Answers will varyinclude YX, YV, YW, YZ, ZV, XW, VZ, WXPage 9LKXV1. point S; 2.; 3.BYNZMW4. perpendicular; 5. neither; 6. parallel;Page 101. line segment TU; 2. line segment XY; 3. rayMN; 4. line segment RP; 5. line AB; 6. line FG;7. ray CE; 8. ray NM;9.10.11.12. point C13. Answers will vary but may include ZE, ZC,CE, DC, CB, DB; 14. Answers will vary but may Carson-Dellosa CD-104244Page 151. AC and DF; 2. Answers will vary but mayinclude ABG, DEH, IEF, CBL, KBL, KBG, BEH; 3. ABK, KBC, BED, ABE, EBC, BEF, DEM, MEF; 4. Answers willvary but may include ABL, GBC, HEF, EBL, MEH, EBG; 5. acute; 6. right; 7. ACand DF; 8. Answers will vary but may includeHI and DF, BE and DF, AC and BE; 9. Answerswill vary but may include M, L, T, W, K, S, R, U;10. Answers will vary but may include ML, MT,MW, KU, KL, LU, RU, RS, RT, ST; 11. MW and RU;12. Answers will vary but may include ML, LT,TW, KL, LU, RS, ST, TU, SW; 13. SW and KU;114Geometry

Identify the lines as parallel, perpendicular, or neither. Unit 1Identifying Intersecting, Perpendicular, and Parallel Lines Intersecting lines are lines that cross each other at one point, called the point of intersection. X is the point of intersection of lines LM and NO. Perpendicular lines are two lines that form a right angle at the