The blue bars on the chart represent the number of correct answers ...
104 pages
English

The blue bars on the chart represent the number of correct answers ...

-

Le téléchargement nécessite un accès à la bibliothèque YouScribe
Tout savoir sur nos offres

Description

  • cours - matière potentielle : students on september
  • cours - matière potentielle : the two weeks
  • line between land
  • perspective square
  • anything about perspective before the quiz
  • question about the horizon line
  • prior knowledge about the subject of perspective
  • dimensional box
  • blue bars on the chart
  • quiz

Sujets

Informations

Publié par
Nombre de lectures 67
Langue English
Poids de l'ouvrage 1 Mo

Geo C&A_tp_869622 8/9/07 2:36 PM Page 1
Practice Workbook i-iv Prac_Wb 869622 8/9/07 2:17 PM Page ii
To the Teacher:
Answers to each worksheet are found in Glencoe’s Algebra: Concepts and Applications
Practice Masters and also in the Teacher’s Wraparound Edition of Glencoe’s Geometry:
Concepts and Applications.
Copyright © The McGraw-Hill Companies, Inc. All rights reserved. Printed in the United States
of America. Except as permitted under the United States Copyright Act, no part of this book may
be reproduced in any form, electronic or mechanical, including photocopy, recording, or any
information storage or retrieval system, without prior written permission in writing from the publisher.
Send all inquiries to:
The McGraw-Hill Companies
8787 Orion Place
Columbus, OH 43240-4027
Geometry: Concepts and Applications
ISBN: 0-07-869622-4 Practice Workbook
1 2 3 4 5 6 7 8 9 10 024 12 11 10 09 08 07 06 05 04 i-iv Prac_Wb 869622 8/9/07 2:17 PM Page iii
Contents
Lesson Title Page Lesson Title Page
1-1 Patterns and Inductive 6-4 Isosceles Triangles ............................34
Reasoning.........................................1 6-5 Right Triangles..................................35
1-2 Points, Lines, and Planes ....................2 6-6 The Pythagorean Theorem................36
1-3 Postulates ............................................3 6-7 Distance on the Coordinate Plane .....37
1-4 Conditional Statements and Their 7-1 Segments, Angles, and
Converses .........................................4 Inequalities.....................................38
1-5 Tools of the Trade ...............................5 7-2 Exterior Angle Theorem ...................39
1-6 A Plan for Problem Solving................6 7-3 Inequalities Within a Triangle...........40
2-1 Real Numbers and Number Lines ......7 7-4 Triangle Inequality Theorem ............41
2-2 Segments and Properties of Real 8-1 Quadrilaterals....................................42
Numbers...........................................8 8-2 Parallelograms ..................................43
2-3 Congruent Segments...........................9 8-3 Tests for Parallelograms....................44
2-4 The Coordinate Plane .......................10 8-4 Rectangles, Rhombi, and Squares.....45
2-5 Midpoints..........................................11 8-5 Trapezoids.........................................46
3-1 Angles...............................................12 9-1 Using Ratios and Proportions...........47
3-2 Angle Measure..................................13 9-2 Similar Polygons...............................48
3-3 The Angle Addition Postulate...........14 9-3 Similar Triangles49
3-4 Adjacent Angles and Linear Pairs 9-4 Proportional Parts and Triangles.......50
of Angles ........................................15 9-5 Triangles and Parallel Lines .............51
3-5 Complementary and 9-6 Proportional Parts and Parallel
Supplementary Angles ...................16 Lines...............................................52
3-6 Congruent Angles .............................17 9-7 Perimeters and Similarity .................53
3-7 Perpendicular Lines ..........................18 10-1 Naming Polygons..............................54
4-1 Parallel Lines and Planes..................19 10-2 Diagonals and Angle Measure..........55
4-2 Parallel Lines and Transversals.........20 10-3 Areas of Polygons.............................56
4-3 Transversals and Corresponding 10-4 Areas of Triangles and
Angles ............................................21 Trapezoids......................................57
4-4 Proving Lines Parallel.......................22 10-5 Areas of Regular Polygons ...............58
4-5 Slope .................................................23 10-6 Symmetry .........................................59
4-6 Equations of Lines............................24 10-7 Tessellations60
5-1 Classifying Triangles ........................25 11-1 Parts of a Circle ................................61
5-2 Angles of a Triangle..........................26 11-2 Arcs and Central Angles...................62
5-3 Geometry in Motion .........................27 11-3 Arcs and Chords ...............................63
5-4 Congruent Triangles28 11-4 Inscribed Polygons............................64
5-5 SSS and SAS ....................................29 11-5 Circumference of a Circle.................65
5-6 ASA and AAS...................................30 11-6 Area of a Circle.................................66
6-1 Medians ............................................31 12-1 Solid Figures.....................................67
6-2 Altitudes and Perpendicular 12-2 Surface Areas of Prisms and
Bisectors.........................................32 Cylinders........................................68
6-3 Angle Bisectors of Triangles ............33 12-3 Volumes of Prisms and Cylinders .....69
iii i-iv Prac_Wb 869622 8/9/07 2:17 PM Page iv
Lesson Title Page Lesson Title Page
12-4 Surface Areas of Pyramids 14-6 Equations of Circles..........................84
and Cones.......................................70 15-1 Logic and Truth Tables .....................85
12-5 Volumes of Pyramids and Cones ......71 15-2 Deductive Reasoning ........................86
12-6 Spheres..............................................72 15-3 Paragraph Proofs ..............................87
12-7 Similarity of Solid Figures ...............73 15-4 Preparing for Two-Column Proofs.....88
13-1 Simplifying Square Roots.................74 15-5 Two-Column Proofs..........................89
13-2 45°-45°-90° Triangles.......................75 15-6 Coordinate Proofs.............................90
13-3 30°-60°-90° T76 16-1 Solving Systems of Equations
13-4 The Tangent Ratio.............................77 by Graphing ...................................91
13-5 Sine and Cosine Ratios.....................78 16-2
14-1 Inscribed Angles ...............................79 by Using Algebra ...........................92
14-2 Tangents to a Circle ..........................80 16-3 Translations.......................................93
14-3 Secant Angles ...................................81 16-4 Reflections........................................94
14-4 Secant-Tangent Angles .....................82 16-5 Rotations...........................................95
14-5 Segment Measures............................83 16-6 Dilations............................................96
iv001-024 PMWB 869622 8/9/07 2:22 PM Page 1
NAME ______________________________________DATE __________PERIOD______
Student Edition1-1 Practice
Pages 4–9
Patterns and Inductive Reasoning
Find the next three terms of each sequence.
1. 2, 4, 8, 16, . . . 2. 18, 9, 0, 9, . . .
32, 64, 128 18, 27, 36,
3. 6, 8, 12, 18, . . . 4. 3, 4, 11, 18, . . .
26, 36, 48 25, 32, 39
5. 11, 6, 1, 4, . . . 6. 9, 10, 13, 18, . . .
9, 14, 19 25, 34, 45
7. 1, 7, 19, 37, . . . 8. 14, 15, 17, 20, . . .
61, 91, 127 24, 29, 35
Draw the next figure in each pattern.
9. 10.
11. 12.
13. 14.
15. Find the next term in the sequence.
1 3 5 7
, , , . . .
19 19 19 19
16. What operation would you use to find the next term in the
sequence 96, 48, 24, 12, . . . ? 2
17. Find a counterexample for the statement “All birds can fly.”
Sample answer: An ostrich is a bird that cannot fly.
18. Matt made the conjecture that the sum of two numbers is always
greater than either number. Find a counterexample for his
conjecture. 5 3 2, and 2 is not greater than 3.
19.All numbers are less
than zero.” Sample answer: 3 is a number that is not
less than zero.
20. Find a counterexample for the statement “All bears are brown.”
Polar bears are not brown.
© Glencoe/McGraw-Hill 1 Geometry: Concepts and Applications001-024 PMWB 869622 8/9/07 2:22 PM Page 2
NAME ______________________________________DATE __________PERIOD______
Student Edition1-2 Practice
Pages 12–17
Points, Lines, and Planes 1–7. Sample answers are given.
Use the figure at the right
to name examples of each term.
1. ray with point C as the endpoint CB
⎯⎯
2. point that is not on GF A
3. two lines AB, ED
4. three rays FG, CA, BF
Draw and label a figure for each situation described. Sample answers are given.
5. Lines , m and j 6. Plane N contains line . 7. Points A, B, C, and
intersect at P.D are noncollinear.
Determine whether each model suggests a point,a line,a ray,
a segment, or a plane.
8. the edge of a book segment 9. a floor of a factory plane
10. the beam from a car headlight ray
Refer to the figure at the right to answer each question.
11. Are points H, J, K, and L coplanar? yes
12. Name three lines that intersect at X. WX, KX, XY
13. What points do plane WXYZ and HW have in common? W
14. Are points W, X, and Y collinear? no
15. List the possibilities for naming a line contained in
plane WXKH. HK,KH,HW,WH,WX,XW,XK,KX,KW,WK,HX,XH
© Glencoe/McGraw-Hill 2 Geometry: Concepts and Applications001-024 PMWB 869622 8/9/07 2:22 PM Page 3
NAME ______________________________________DATE __________PERIOD______
Student Edition1-3 Practice
Pages 18–22
Postulates
1. Points A, B, and C are noncollinear. Name all of the different
lines that can be drawn through these points. , AB BC
2. What is the intersection of LM and LN? point L
3. Name all of the planes that are represented
in the figure. ABD, BCD, BCA, ACD
Refer to the figure at the right.
4. Name the intersection of ONJ and KJI. KJ
5.KOL and MLH. LH
6. Name two planes that intersect in MI. NJI & LMI
In the figure, P, Q, R, and S are in plane N .
Determine whether each statement is true or false.
7. R, S, and T are collinear. false
8. There is only one plane that contains all
the points R, S, and Q. true
9. PQT lies in plane N. false
10. SPRN. true
11. If X and Y are two points on line m,
then XY intersects plane N at P. true
12. Point K is on plane N. true
⎯⎯
13. N contains RS. true
14. T lies in plane N. false
15. R, P, S, and T are coplanar. false
16. and m intersect. false
© Glencoe/McGraw-Hill 3 Geometry: Concepts and Applications001-024 PMWB 869622 8/9/07 2:22 PM Page 4
NAME ______________________________________DATE __________PERIOD______
Student Edition1-4 Practice
Pages 24–28
Conditional Statements and Their Converses
Identify the hypothesis and the conclusion of each statement.
1. If it rains, then I bring my umbrella.
Hypothesis—it rains
Conclusion— I bring my umbrella
2. If it is Saturday, then I go to the movies.
Hypothesis— it is Saturday
Conclusion— I go to the movies
3. I will go swimming tomorrow if it is hot.
Hypothesis— it is hot
Conclusion— I will go swimming tomorrow
4. If it is a birthday party, I will buy a gift.
Hypothesis— it is a birthday party
Conclusion— I will buy a gift
5. If I draw a straight line, I will need my ruler.
Hypothesis— I draw a straight line
Conclusion— I will need my ruler
6. I will do better at my piano recital if I practice each day.
Hypothesis—I practice each day
Conclusion—I will do better at my piano recital
Write two other forms of each statement.
7. If you floss regularly, your gums are healthier.
Your gums will be healthier if you floss regularly. All
people who floss regularly will have healthier gums.
8. We are in the state finals if we win tomorrow.
If we win tomorrow, then we are in the state finals. All
teams that win will be in the state finals.
9. All odd numbers can be written in the form 2n 1.
If a number is an odd number, then it can be written in
the form 2n 1. A number can be written in the form
2n 1 if it is an odd number.
Write the converse of each statement.
10. If two lines never cross, then they are parallel lines.
Converse: If lines are parallel, then the two lines never
cross.
11. All even numbers are divisible by 2.
Converse: If a number is divisible by 2, then the
number is an even number.
12. If x 4 11, then x7.
Converse: If x 7, then x 4 11.
© Glencoe/McGraw-Hill 4 Geometry: Concepts and Applications001-024 PMWB 869622 8/9/07 2:22 PM Page 5
NAME ______________________________________DATE __________PERIOD______
Student Edition1-5 Practice
Pages 29–34
Tools of the Trade
Use a straightedge or compass to answer each question.
1. Which segment is longer? B 2. Which arc on the left side of the
figure corresponds to the right side of
the figure? A
3. Which line forms a straight line 4. Which is greater, the height of the
with the segment on the bottom bicycle (from A to B) or the width
of the figure? C of the tire (from C to D)? height
⎯⎯ ⎯⎯
5. If extended, will AB intersect EF ?
yes ⎯⎯ ⎯⎯
6.GH and EF form a 90° angle? no
7. Use a compass to draw a circle
with the same center as the
given circle, but larger in size.
A sample answer is given.
© Glencoe/McGraw-Hill 5 Geometry: Concepts and Applications001-024 PMWB 869622 8/9/07 2:22 PM Page 6
NAME ______________________________________DATE __________PERIOD______
Student Edition1-6 Practice
Pages 35–41
A Plan for Problem Solving
Find the perimeter and area of each rectangle.
1. P 22 in., 2. 3.
2A 24 in
P 42 cm, P 45.4 mi,
2 2A 80 cm A 84.6 mi
4. 5. 6.
2P 12 m, A 8 m P 16.2 in.,
2A 15.3 in
P 10.6 mm,
2A 5.2 mm
Find the perimeter and area of each rectangle described.
7. 6 in., w 7 in. 8. 3.2 m, w 6 m
2 2P 26 in., A 42 in P 18.4 m, A 19.2 m
9. 5 mm, w 1.4 mm 10. 12 mi, w 12 mi
2 2P 12.8 mm, A 7.0 mm P 48 mi, A 144 mi
11. 5.4 in., w 10 in. 12. 3 cm, w 7.7 cm
2 2P 30.8 in., A 54 in P 21.4 cm, A 22.1 cm
Find the area of each parallelogram.
13. 14. 15.
2 21050 mm 108 cm
23008 in
© Glencoe/McGraw-Hill 6 Geometry: Concepts and Applications