Geometry Written by Pamela Jennett Editor: Collene Dobelmann Illustrator: Carmela Murray Designer/Production: Moonhee Pak/Carmela Murray Cover Designer: arbara Peterson rt Director: Tom Cochrane Project Director: Carolea Williams 2004 Creative Teaching Press, Inc., Huntington each, C 92649 Reproduction of activities in any manner for use in the classroom and not for commercial sale is permissible. Reproduction of these materials for an entire school or for a school system is strictly prohibited.
Table of Contents Introduction.......................... 4 Points, Lines, and Planes Geometric Vocabulary.................... 5 Identify Lines, Line Segments, and Rays...... 6 Name Lines, Line Segments, and Rays........ 7 Find Lengths of Line Segments............. 8 Collinear Points and Line Segments......... 9 Identify Objects in a Plane............... 10 Line and Segment Relationships........... 11 Intersecting and Parallel Lines in Planes..... 12 Identify Intersecting and Parallel Segments.. 13 Find Geometric nswers................. 14 Congruence of Segments................ 15 dd to Find Congruent Segments.......... 16 Subtract to Find Segment Lengths......... 17 Find Congruent Line Segments............ 18 Geometry and lgebraic Equations........ 19 ngles ngle Vocabulary...................... 20 Name and Label ngles.................. 21 Name and Label Connected ngles........ 22 Classify ngles......................... 23 Identify Congruent ngles............... 24 dd and Subtract to Find ngle Measures... 25 Calculate ngle Measures................ 26 Complementary and Perpendicular ngles... 27 Supplementary and Linear ngles......... 28 Find Values of ngles................... 29 Vertical ngles......................... 30 Identify Types of ngles................. 31 Find Missing ngle Measurements......... 32 Determine Missing ngles................ 33 ngles and lgebra..................... 34 More pplications of lgebra............. 35 Intersecting and Parallel Lines Vocabulary to Describe Intersections....... 36 Perpendicular Lines..................... 37 Parallel Lines.......................... 38 Transversals and Corresponding ngles..... 39 Interior ngles......................... 40 Transversals and Exterior ngles........... 41 Identify Transversal ngles............... 42 Congruent Transversal ngle Measures..... 43 Supplementary Transversal ngle Measures.. 44 More Transversal ngles................. 45 Midpoint isectors...................... 46 ngle isectors........................ 47 lgebra and Intersecting Lines............ 48 lgebra and Transversals................. 49 Triangles Triangles............................. 50 Classify Triangles by Sides................ 51 Classify Triangles by ngles............... 52 What Triangle Is It?..................... 53 Find Missing Triangle Measures............ 54 Determine Triangle Measures............. 55 Segments in Triangles................... 56 Segments in Isosceles Triangles............ 57 The Medians of a Triangle................ 58 The Perpendicular isectors of a Triangle.... 59 The ngle isectors of a Triangle.......... 60 The ltitude of a Triangle................ 61 Determine Concurrent Lines.............. 62
Quadrilaterals Quadrilaterals......................... 63 Name Quadrilaterals.................... 64 Use Markings to Show Quadrilaterals....... 65 Diagonals on Quadrilaterals.............. 66 Parallelograms......................... 67 Rectangles............................ 68 Rhombi.............................. 69 Squares.............................. 70 Trapezoids............................ 71 Kites................................. 72 Perimeter and rea Perimeter of Polygons................... 89 Perimeter with Mixed Measures........... 90 rea of Squares and Rectangles........... 91 rea of Parallelograms and Rhombi........ 92 rea of Trapezoids..................... 93 rea of Triangles....................... 94 rea of Perpendicular Polygons........... 95 Formulas for reas..................... 96 Find reas............................ 97 Polygons Define Polygons........................ 73 Identify Polygons....................... 74 Convex and Concave Polygons............ 75 Identify by Sides....................... 76 Diagonals of Polygons................... 77 Regular and Irregular Polygons............ 78 The Sum of ll Interior ngles............ 79 The Sum of ll Exterior ngles............ 80 Circles Words for Circles....................... 98 Label Circle Parts....................... 99 Congruent and Concentric Circles......... 100 Tangent Circles....................... 101 Inscribed and Circumscribed Circles........ 102 Diameters and Radii................... 103 rea of a Circle....................... 104 rcs and ngles....................... 105 Congruent and Similar Polygons Polygon Congruence.................... 81 More Congruent Polygons............... 82 Find Measures with Congruent Polygons.... 83 Determine Congruence by Sides or ngles... 84 Use SSS or SS......................... 85 Similarity............................. 86 Check for Similar Polygons............... 87 Similar or Congruent?................... 88 Tranformations Reflections........................... 106 Line Symmetry........................ 107 Practice with Symmetry................. 108 Rotations............................ 109 Rotational Symmetry................... 110 Translations.......................... 111 Practice with Transformations............ 112 nswer Key.......................... 113
Name Date Geometric Vocabulary Geometry has its own vocabulary to describe certain types of geometric objects. Match each term in the word box to its definition. Use the same terms to label the illustrations. ray angle line line segment plane point collinear coplanar 1 2 3 4 5 6 7 8 This is a geometric object with no dimensions. It is only a location. This is a collection of points along a straight path. It has no endpoints. This describes points that lie on the same line. This geometric object is a flat surface that extends endlessly in all directions. This describes points that lie on the same plane. This is a part of a line that has two endpoints. This is a part of a line that has only one endpoint. This geometric object is formed from two rays with a common endpoint. 9 10 11 12 C Geometry 2004 Creative Teaching Press 13 14 15 16 E C D C Points, Lines, and Planes 5
Name Date Identify Lines, Line Segments, and Rays Points, lines, and planes are the building blocks of geometry. Z Y X C D E XY YZ XZ These name lines in the diagram. Lines have no endpoint, but continue on in both directions. C C These name rays in the diagram. Rays have an endpoint and continue in a single direction. DE ED These name line segments. line segment has two endpoints. Complete. 1 Give three names for this line. P Q R 2 Name three rays. 3 Name three line segments. 4 Give three names for this line. M N O 5 6 Name three rays. Name three line segments. Geometry 2004 Creative Teaching Press 6 Points, Lines, and Planes
Name Date Name Lines, Line Segments, and Rays M O R T X symbol: To name a line, give two points along that line. Place the symbol for line over the top. The points can be written in either order. MO OM symbol: To name a ray, give the starting point first, then a following point on the ray. The name can only be written in the direction the ray travels. RT RX symbol: To name a segment, give two points that mark a segment. The points can be written in either order. Circle the correct ways to name each of the following. 1 J K L JK KL LK This is a ray. LJ JK JL 2 U V RU UV RV R This is a line. VU UV RV Geometry 2004 Creative Teaching Press 3 E F X This is a line segment. EF FX XF EX XF FE Points, Lines, and Planes 7