# Lesson 1.1 â¢ Building Blocks of Geometry

DG4PS_893_01.qxd

11/1/06

10:15 AM

Page 1

Lesson 1.1 • Building Blocks of Geometry Name

Period

Date

  3 cm. For Exercises 1–7, complete each statement. PS

P N

 is ________________. 1. The midpoint of PQ

Q S

2. NQ  ________________.

 is ________________. 3. Another name for NS

. 4. S is the ________________ of SQ 5. P is the midpoint of ________________.

  ________________. 6. NS

 is ________________. 7. Another name for SN 8. Name all pairs of congruent segments in KLMN. Use the

N 8 cm

O

M 8 cm

L

For Exercises 9 and 10, use a ruler to draw each figure. Label the figure and mark the congruent parts.  and CD  with M as the midpoint 9. AB  and CD . AB  6.4 cm of both AB and CD  4.0 cm. A, B, and C are not collinear.

11. Sketch six points A, B, C, D, E, and F, no

three of which are collinear. Name the lines defined by these points. How many lines are there?

. C is the midpoint of AB , with  and CD 10. AB

, is the AC  1.5 cm. D, not on AB  midpoint of AE , with AD  2BC.

12. In the figure below, {B, C, H, E} is a set of

four coplanar points. Name two other sets of four coplanar points. How many sets of four coplanar points are there? B

C

A

D F

E

G H

Cube

CHAPTER 1

1

DG4PS_893_01.qxd

11/1/06

10:15 AM

Page 2

Lesson 1.2 • Poolroom Math Name

Period

Date

For Exercises 1–5, use the figure at right to complete each statement.

B

1. A is the ________________ of BAE.

C

 is the ________________ of BAE. 2. AD

A

D

 is a ________________ of DAE. 3. AD 4. If mBAC  42°, then mCAE  ________________. E

5. DAB  ________________.

O

For Exercises 6–9, use your protractor to find the measure of each angle to the nearest degree. 6. mPRO

7. mORT

8. mO

9. mRTO

P R

T

A

For Exercises 10–12, use your protractor to draw and then label each angle with the given measure. 10. mMNO  15°

11. mRIG  90°

12. mz  160°

For Exercises 13–15, find the measure of the angle formed by the hands at each time. 13. 3:00

11

12

1 2

10

14. 4:00 9

3 4

8

For Exercises 15 and 16, mark each figure with all the given information.

7

6

5

A

D

C

16. mRPQ  90°, QR  TZ, RT  QZ, Q  T R

Q

2

P

CHAPTER 1

T

Z

DG4PS_893_01.qxd

11/1/06

10:15 AM

Page 3

Lesson 1.3 • What’s a Widget? Name

Period

Date

For Exercises 1–9, match each term with one of the items (a to i) below. 2

a.

b.

?

c.

? 90°

1

d.

e.

f. ?

?

g.

h.

i.

P

?

Q R

1. _____ Vertical angles

2. _____ Obtuse angle

3. _____ Right angle

4. _____ Complementary angles

5. _____ Congruent angles

6. _____ Linear pair of angles

7. _____ Bisected angle

8. _____ Perpendicular lines

9. _____ Congruent segments 10. If mP  13°, mQ  77°, and Q and R are complementary, what

For Exercises 11–12, sketch, label, and mark a figure showing each property. 11. 1  2, 2  3

  PR  12. PQ

CHAPTER 1

3

DG4PS_893_01.qxd

11/1/06

10:15 AM

Page 4

Lesson 1.4 • Polygons Name

Period

Date

For Exercises 1–8, complete the table. Polygon name

Number of sides

Number of diagonals

1. Triangle

2

2.

5

3. 4. Hexagon 5. Heptagon

8

6.

35

7.

12

8.

For Exercises 9 and 10, sketch and label each figure. Mark the congruences. 9. Concave pentagon PENTA, with external

, and TA   PE . diagonal ET

Q  U.

For Exercises 11–14, sketch and use hexagon ABCDEF. 11. Name the diagonals from A. 12. Name a pair of consecutive sides. 13. Name a pair of consecutive angles. 14. Name a pair of non-intersecting diagonals.

For Exercises 15–18, use the figures at right. MNOPQ  RSTUV

T

O

61° U

15. mN  _____

16.1

16. VR  _____ 17. mP  _____ 18. ON  _____

V Q P

8.4 7.2 M

N

82°

S

58°

R

19. The perimeter of a regular pentagon is 31 cm. Find the length of

each side.

4

CHAPTER 1

DG4PS_893_01.qxd

11/1/06

10:15 AM

Page 5

Lesson 1.5 • Triangles Name

Period

Date

For Exercises 1–5, use the figure at right. Name a pair of 1. Parallel segments

B

A

2. Perpendicular segments 3. Congruent segments

C

D

E

F

4. Supplementary angles 5. Linear angles

G

H

I

For Exercises 6 and 7, sketch, label, and mark each figure. 6. Isosceles obtuse triangle TRI with vertex angle T.

, CA , 7. Scalene right triangle SCA with midpoints L, M, and N on SC , respectively. and SA

For Exercises 8 and 9, use your geometry tools to draw each figure. 8. Acute isosceles triangle ACD with vertex

9. Scalene right triangle RGH.

angle A measuring 40°.

For Exercises 10–12, use the graph at right.

y

10. Locate F so that ABF is a right triangle.

C (8, 3)

11. Locate D so that ABD is an isosceles triangle. 12. Locate G so that ABG is scalene and not a right triangle.

A (0, 0)

B (8, 0)

CHAPTER 1

x

5

DG4PS_893_01.qxd

11/1/06

10:15 AM

Page 6

Lesson 1.6 • Special Quadrilaterals Name

Period

Date

For Exercises 1–5, sketch, label, and mark each figure. 1. Parallelogram PGRA

2. Square SQRE

3. Rhombus RHOM with acute H.

  AP , RE   PA , 4. Trapezoid TRAP with TR and P, E, and A collinear.

5. Kite KITE with EK  KI and obtuse K.

For Exercises 6–9, name each polygon in the figure. Assume that the grid is square.

H

J I

G

6. Square 8. Rhombus

For Exercises 10–12, use the graph at right.

7. Parallelogram

D

9. Kite

A

E B

F

C

y

10. Locate D so that ABCD is a rectangle. C (8, 3)

11. Locate E so that ABCE is a trapezoid. 12. Locate G so that points A, B, C, and G

A (0, 0)

B (8, 0)

x

determine a parallelogram that is not a rectangle.

6

CHAPTER 1

DG4PS_893_01.qxd

11/1/06

10:15 AM

Page 8

Lesson 1.8 • Space Geometry Name

Period

Date

For Exercises 1 and 2, draw each figure. 1. A prism with a rectangular base.

2. A cylinder with base diameter greater

than height.

For Exercises 3 and 4, sketch the three-dimensional figure formed by folding each net into a solid. Name the solid. 3.

4.

For Exercises 5 and 6, sketch the section formed when each solid is sliced by the plane as shown. 5.

6.

7. Find the lengths of x and y. 3 4

2 y x

8

CHAPTER 1

4

## Lesson 1.1 â¢ Building Blocks of Geometry

DG4PS_893_01.qxd 11/1/06 10:15 AM Page 1 Lesson 1.1 • Building Blocks of Geometry Name Period Date   3 cm. For Exercises 1–7, complete each s...

#### Recommend Documents

Building Blocks of Geometry
L E S S O N. 1.1. Building Blocks of Geometry. Three building blocks of geometry are points, lines, and planes. A p

Lesson 1.1 â¢ Building Blocks of Geometry - High School Math - Kendall
Lesson 1.1 â¢ Building Blocks of Geometry. Name. Period. Date. For Exercises 1â7, complete each statement. PS. 3 cm.

Building Blocks Competition
Riley Falconer. 19. PHS. 38.4. 384. 14. Jose Zarate, Daniel Ruiz, Simon Barrera. 3 ... Azucena Izquierdo, Charlie Hernan

Building Blocks VFIS - VFIS.com
Apr 9, 1996 - Guidelines on writing newspaper articles profiling volunteers . ..... We can call these statementsââst

Atoms: The Building Blocks of Matter
Sep 29, 2016 - Section Quiz: The Atom: From Philosophical. Idea to Scientific Theory. In the space provided, write the l

Web Resources: Multimedia Building Blocks
In that case, you may want to look at the following âWeb Typography Tutorialâ: http://hotwired.lycos.com/webmonkey/d

Workshop 6 The Building Blocks of Macroeconomics
Form groups and answer the questions in Lesson 6.1, âAll About GDP.â (23 minutes) Discuss the answers to the followi

Atoms: Building Blocks of Molecules | Of Particular Significance
Dec 7, 2012 - We use the equations of quantum mechanics to describe and predict the behavior of molecules, atoms, and su