NYS Performance Indicators  Objectives  Text Resources  Resources (Suggested Activities)  CrossCurriculum Connections  Assessment Items  


Holt Geometry Copyright 2008 


Chapter 1 Students construct a bisector of a given angle, using a straightedge and compass, and justify the construction. 
13  Amsco A: 241, 242  Physics  pendulum  

Students investigate, justify, and apply the Pythagorean theorem and its converse.  16  Amsco A: 1610, 214  Global Studies  const. of Forbidden City in Beijing, China  

Students find the midpoint of a line segment, given its endpoints.  16  Amsco A: 101, 1611  

Students find the length of a line segment, given its endpoints.  16  Amsco A: 101, 102  

Students define, investigate, justify, and apply isometries in the plane (rotations, reflections, translations, glide reflections) Note: Use proper function notation.  17  Amsco A: 115, 116, 117  

Students identify specific isometries by observing orientation, numbers of invariant points, and/or parallelism.  17  Amsco B: 136  

Students investigate, justify, and apply the properties that remain invariant under translations, rotations, reflections, and glide reflections.  17 
Holt: Technology Lab Amsco B: 136 
Art History  wall of the Alhambra  

Chapter 2 Students determine the negation of a statement and establish its truth value. 
22  Amsco A: 72  

Students know and apply the conditions under which a compound statement (conjunction, disjunction, conditional, biconditional) is true.  22, 24 
Holt: Chapter 2 Extension Amsco A: 72, 73 


Identify and write the inverse, converse, and contrapositive of a given conditional statement and note the logical equivalences.  24 
Holt: Ready To Go On? Amsco A: 76, 77 


Students write a proof arguing from a given hypothesis to a given conclusion.  26 
Holt: Geometry Lab 26 Ready to Go On? 


Chapter 3 Students write a proof arguing from a given hypothesis to a given conclusion 
32, 33, 34  Amsco B: 313  Music History  construction of piano strings  

Students construct the perpendicular bisector of a given segment, using a straightedge and compass, and justify the construction.  33, 34 
Holt: Geometry Labs 34 Ready To Go On? Pg. 181 Amsco A: 241 
Earth Science  rip currents Music History  fret and string construction on a guitar 


Students determine if two lines cut by a transversal are parallel, based on the measure of given pairs of angles formed by the transversal and the lines.  33  Amsco A: 104  Carpentry  plumb line  

Students construct lines parallel (or perpendicular) to a given line through a given point, using a straightedge and compass, and justify the construction.  33 
Holt: Geometry Lab Amsco A: 242 


Students find the slope of a perpendicular line, given the equation of a line.  36  Amsco A: 164, 165  

Students determine whether two lines are parallel, perpendicular, or neither, given their equations.  36  Amsco A: 165  

Students find the equation of a line, given a point on the line and the equation of a line perpendicular to the given line.  36  Amsco A: 165  

Students find the equation of a line, given a point on the line and the equation of a line parallel to the desired line.  36  Amsco A: 165  

Students solve systems of equations involving one linear equation and one quadratic equation graphically. 
Holt: Skills Bank Pg. S69 


Chapter 4 Students investigate, justify, and apply theorems about the sum of the measures of the angles of a triangle. 
42 
Holt: Geometry Lab Pg. 222 Amsco A: 105 


Students write a proof arguing from a given hypothesis to a given conclusion.  42, 44, 45, 46, 47  Amsco B: 133  

Students investigate, justify, and apply theorems about geometric inequalities, using the exterior angle theorem.  42 
Amsco A: 105 Holt: Ready To Go On? Pg. 231237 


Students determine the congruence of two triangles by using one of the five congruence techniques (SSS, SAS, ASA, AAS, HL), given sufficient information about the sides and/or angles of two congruent triangles.  44, 45, 46 
Holt: Geometry Lab 44 Pg. 240241 Holt: Technology Lab 45 Pg. 250251 Amsco A: 112, 113 


Students identify corresponding parts of congruent triangles.  43, 46  Amsco A: 112  

Students find the length of a line segment, given its endpoints.  46, 47  Amsco A: 97  

Students investigate, justify, and apply the properties of triangles and quadrilaterals in the coordinate plane, using the distance, midpoint, and slope formulas. 
46 47 
Amsco A: 1610, 1611  

Students find the midpoint of a line segment, given its endpoints.  47  Amsco A: 1611  

Students investigate, justify, and apply the isosceles triangle theorem and its converse.  48 
Holt: Ready To Go On? Pg. 273279 & 281 Amsco A: 106 


Students construct a bisector of a given angle, using a straightedge and compass, and justify the construction. Students construct the perpendicular bisector of a given segment, using a straightedge and compass, and justify the construction. Students construct lines parallel (or perpendicular) to a given line through a given point, using a straightedge and compass, and justify the construction. 
Holt: Chapter 4 Extension Pg. 282283 Amsco A: 241, 242 Chapter 4 Extension Pg. 282283 


Chapter 5 Students write a proof arguing from a given hypothesis to a given conclusion. 
51, 52, 53, 54, 55, 56, 57, 58  

Students find the equation of a line that is the perpendicular bisector of a line segment, given the endpoints of the line segment.  51, 52  Amsco A: p.842  

Students investigate and apply the concurrence of medians, altitudes, angle bisectors, and perpendicular bisectors of triangles.  52, 53 
Holt: Technology Lab 53 


Students investigate, justify, and apply theorems about the centroid of a triangle, dividing each median into segments whose lengths are in the ratio 2:1.  53  

Students find the midpoint of a line segment, given its endpoints.  53  Amsco A: 1611  

Students investigate, justify, and apply theorems about geometric relationships, based on the properties of the line segment joining the midpoints of two sides of the triangle.  54  

Students investigate, justify, and apply theorems about proportional relationships among the segments of the sides of the triangle, given one or more lines parallel to one side of a triangle and intersecting the other two sides of the triangle.  54  Amsco A: 1213  

Students investigate, justify, and apply the properties of triangles and quadrilaterals in the coordinate plane, using the distance, midpoint, and slope formulas.  54 
Holt: Ready to Go On? 


Students investigate, justify, and apply the triangle inequality theorem.  55 
Amsco B: 54 Holt: Geometry Lab 55 


Students determine either the longest side of a triangle given the three angle measures or the largest angle given the lengths of three sides of a triangle.  55  

Students investigate, justify, and apply the Pythagorean theorem and its converse.  57, 58 
Holt: Geometry Lab 57 Amsco: 214 


Students construct lines parallel (or perpendicular) to a given line through a given point, using a straightedge and compass, and justify the construction.  Geometry Lab 58 
Holt: Ready to Go On? Amsco: Pg. 837 


Chapter 6 Students investigate, justify, and apply theorems about the sum of the measures of the interior and exterior angles of polygons. 
61 
Holt: Geometry Lab 61 Amsco B: 69 


Students investigate, justify, and apply theorems about each interior and exterior angle measure of regular polygons.  61 
Holt: Geometry Lab 61 Amsco B: 69 


Students write a proof arguing from a given hypothesis to a given conclusion.  62, 63, 64, 65, 66  

Students investigate, justify, and apply theorems about parallelograms involving their angles, sides, and diagonals.  62, 63 
Holt: Geometry Lab 62 


Students investigate, justify, and apply the properties of triangles and quadrilaterals in the coordinate plane, using the distance, midpoint, and slope formulas.  62, 63, 64, 65 
Holt: Ready to Go On? 63 


Students investigate, justify, and apply theorems about special parallelograms (rectangles, rhombuses, squares) involving their angles, sides, and diagonals.  64, 65 
Technology Lab 65 Amsco B: 72 


Students justify that some quadrilaterals are parallelograms, rhombuses, rectangles, squares, or trapezoids.  65  Amsco A: 113  

Students investigate, justify, and apply theorems about trapezoids (including isosceles trapezoids) involving their angles, sides, medians, and diagonals.  66 
Technology Lab 66 Ready to Go On? Amsco B: 77 


Chapter 7 Students establish similarity of triangles, using the following theorems: AA, SAS, and SSS. 
73 
Technology Lab 73 


Students investigate, justify, and apply theorems about similar triangles.  73, 74, 75, 76 
Technology Lab 74 


Students write a proof arguing from a given hypothesis to a given conclusion.  73, 74, 75, 76  Amsco A: 1210  

Students investigate, justify, and apply theorems about proportional relationships among the segments of the sides of the triangle, given one or more lines parallel to one side of a triangle and intersecting the other two sides of the triangle.  74  

Students investigate, justify, and apply the properties that remain invariant under similarities.  76  

Students investigate, justify, and apply the properties of triangles and quadrilaterals in the coordinate plane, using the distance, midpoint, and slope formulas.  76  Read to Go On?  

Chapter 8 Students write a proof arguing from a given hypothesis to a given conclusion 
81, 85 
Ready to Go On? 85 


Students investigate, justify, and apply theorems about similar triangles  81 
Amsco A: 1210 Amsco B: 88 


Students investigate, justify, and apply theorems about mean proportionality: 
81 
Amsco A: 1210 Amsco B: 88 


Students find the length of a line segment, given its endpoints  83 
Holt: Ready to Go On? Amsco A: 1610 Amsco B: 16 


Chapter 9 Students investigate, justify, and apply the properties of triangles and quadrilaterals in the coordinate plane, using the distance, midpoint, and slope formulas. 
94, 95 
Holt: Ready to Go On? 95 Amsco B: 78 


Chapter 10 Students know and apply that the lateral edges of a prism are congruent and parallel. 
101  

Students apply the properties of a cylinder, including: 
101, 104  Amsco A: 49  

Students know and apply that if a line is perpendicular to each of two intersecting lines at their point of intersection, then the line is perpendicular to the plane determined by them.  Appendix A1  

Students know and apply that through a given point there passes one and only one plane perpendicular to a given line.  Appendix A1  

Students know and apply that through a given point there passes one and only one line perpendicular to a given plane.  Appendix A1  

Students know and apply that two lines perpendicular to the same plane are coplanar.  Appendix A1  

Students know and apply that if a line is perpendicular to a plane, then any line perpendicular to the given line at its point of intersection with the given plane is in the given plane.  Appendix A1  

Students know and apply that two planes are perpendicular to each other if and only if one plane contains a line perpendicular to the second plane.  Appendix A2  

Students know and apply that if a line is perpendicular to a plane, then every plane containing the line is perpendicular to the given plane.  Appendix A2  

Students know and apply that if a plane intersects two parallel planes, then the intersection is two parallel lines  Appendix A3  

Students know and apply that if two planes are perpendicular to the same line, they are parallel.  Appendix A3  

Students know and apply that the lateral edges of a prism are congruent and parallel.  Appendix A3  Amsco A: 49  

Students apply the properties of a regular pyramid, including: 
105, 107  Amsco A: 49  

Students apply the properties of a right circular cone, including: 
105, 107  Amsco A: 49  

Students know and apply that two prisms have equal volumes if their bases have equal areas and their altitudes are equal.  106  Amsco A: 49  

Students apply the properties of a cylinder, including: 
106 Technology Lab 108 
Amsco A: 49  

Students know and apply that the volume of a prism is the product of the area of the base and the altitude 
106 Technology Lab 108 
Amsco A: 49  

Students apply the properties of a sphere, including: 
Extension Chapter 10 
Amsco A: 49  

Chapter 11 Students write a proof arguing from a given hypothesis to a given conclusion. 
111, 112, 114, 115, 116 
Holt: Ready to Go On? 112 


Students investigate, justify, and apply theorems about tangent lines to a circle: 
111, Appendix A7 
Amsco B: 112, 114  

Students investigate, justify, and apply theorems about arcs of a circle cut by two parallel lines.  Appendix A7  

Students investigate, justify, and apply theorems regarding chords of a circle: 
112  Amsco B: 112  

Students investigate, justify, and apply theorems about the arcs determined by the rays of angles formed by two lines intersecting a circle when the vertex is: 
114, Technology Lab (115), 115  Amsco B: 114, 115  

Students investigate, justify, and apply theorems regarding segments intersected by a circle: 
Technology Lab (116), 116 
Amsco B: 116  

Students write the equation of a circle, given its center and radius or given the endpoints of a diameter.  117  

Students write the equation of a circle, given its graph. Note: The center is an ordered pair of integers and the radius is an integer.  117  

Students find the center and radius of a circle, given the equation of the circle in centerradius form.  117  

Students graph circles of the form (x  h)^{2}+ (j  k)^{2} = r^{2}.  117 
Holt: Ready to Go On? 


Students solve problems using compound loci.  Chapter 11 Extension  Amsco A: 237  

Students graph and solve compound loci in the coordinate plane.  Chapter 11 Extension  Amsco A: 237  

Chapter 12 Students investigate, justify, and apply the properties that remain invariant under translations, rotations, reflections, and glide reflections. 
Appendix A4 (Chapter 12) 


Students investigate, justify, and apply the properties that remain invariant under similarities. 
Appendix A4 (Chapter 12) 


Students define, investigate, justify, and apply isometries in the plane (rotations, reflections, translations, glide reflections) Note: Use proper function notation. 
121, 122, 123, Technology Lab 124, 126 
Holt: Ready to Go On? 124 


Students identify specific isometries by observing orientation, numbers of invariant points, and/or parallelism.  121, 122, 123  Amsco B: 131  

Students investigate, justify, and apply the analytical representations for translations, rotations about the origin of 90° and 180°, reflections over the lines x = 0, and y = x, and dilations centered at the origin. 
121, 122, 123 Appendix A6 (Chapter 12), 124, 127 
Holt: Ready to Go On? 124 Amsco B: 132 


Students justify geometric relationships (perpendicularity, parallelism, congruence) using transformational techniques (translations, rotations, reflections). 
Appendix A5 (Chapter 12) 


Students define, investigate, justify, and apply similarities (dilations and the composition of dilations and isometries).  127, Chapter 12 Extension 
Holt: Ready to Go On? Amsco B: 133 