Chapter 1: Foundations for Geometry/Review

Assignment Sheet

# Name Completed?

1 Pythagorean Theorem

2 Notes: Points, Lines Planes and Angles

3 1-1 Practice B and C

4 Measuring Segments and Angles

5 Measuring and Constructing Angles

6 Notes: Understanding Angles

7 Angle Pair Relationships 1

8 Angle Pair Relationships 2

9 Segments and Angles

10 Notes: Distance, Midpoint and Slope

11 Distance, Midpoint and Slope

12 Review

13 Chapter Test

Name ______________________________________________ Score _____/10

September 19

Problem Solving

Monday

20

21

Basic Skills Quiz

#1 Pythagorean

Theorem

22

#2 Notes Day

23

#3 1-1 Practice B

and C

26

PSM

27

#4 Measuring

Segments and

Angles

28

#5 1-3 Reteach

29

#6 Notes Day

30

#7 Angle Pair

Relationships 1

3

PSM

4

#8 Angle Pair

Relationships 2

5

#9 Segments and

Angles

6

#10 Notes Day

7

#11 Distance,

Midpoint, and

Slope

10

PSM

11

#12 Review

HW: Study

12

Chapter Test

13 14

Name __________________________________ Pythagorean Theorem

NR Geometry Chp 1 Wksht #1

Name __________________________________ Notes: Points, Lines, and Planes

NR Geometry Chp 1 Wksht #2

Vocabulary

Point:

Line:

Line Segment:

Ray:

Angle:

Plane:

Shade XYZ :

X

Y

A

R

Z

B

C

Name __________________________________ Understanding Points, Lines and Planes

NR Geometry Chp 1 Wksht #3

Name __________________________________ Measuring Segments and Angles

NR Geometry Chp 1 Wksht #4

Vocabulary: Congruent: Same size and shape (equal measure)

Midpoint: Separates the segment into two congruent segments

Bisect: To divide into two equal parts

Name each of the following.

1.) The point on DA that is 2 units from D 2.) Two points that are 3 units from D

3.) The coordinate of the midpoint of AG 4.) A segment congruent to AC

5.) Use the number line below for a-d. Tell the length of each segment and whether or not the segments are

congruent.

a.) LN and MQ b.) MP and NQ c.) MN and PQ d.) LP and MQ

A B

A

C

A

D

A

E

A

F

A

G

A

Hint: When there is no picture, DRAW ONE!

For exercises 10-13, T is the Midpoint of PQ . Find the value of PT for each example.

10.) 35 xPT and 97 xTQ

11.) 64 xPT and 26 xTQ

12.) 247 xPT and 2613 xPQ

13.) oXYZ 67 and oXYR 41 find m RYZ .

14.) oXYZ 72 , 62 xXYR , 124 xRYZ , find m RYZ .

15.) YR is the angle bisector of XYZ . If 73 xXYR and 137 xRYZ , find m XYZ .

X R

Z

Y

X R

Z

Y

X R

Z

Y

Name __________________________________ Measuring and Constructing Angles

NR Geometry Chp 1 Wksht #5

Name __________________________________ Notes: Understanding Angles

NR Geometry Chp 1 Wksht #6

Vocabulary

Complementary:

Supplementary:

Adjacent:

Linear:

Vertical:

- Angle 1 and Angle 2 are supplementary. If angle 1 = 2x+7 and angle 2 = 4x-7, what is the measure of

angle 1?

Name the following and solve for the missing angles.

Angle 1 = 125o Angle 2 = Angle 3 = 91

o

Angle 4 = Angle 5 = Angle 6 =

1.

2.

3.

4.

5.

6.

Name __________________________________ Angle Pair Relationships 1

NR Geometry Chp 1 Wksht #7

Name __________________________________ Angle Pair Relationships 2

NR Geometry Chp 1 Wksht #8

Name the relationship: complementary, supplementary, vertical or adjacent. Find a or b.

Find the measure of the missing angle(s).

Find the value of x SHOW WORK!

Name __________________________________ Segments and Angles

NR Geometry Chp 1 Wksht #9

Name __________________________________ Notes: Distance, Midpoint, and Slope

NR Geometry Chp 1 Wksht #10

Formulas

Midpoint Formula:

Distance Formula:

Slope Formula:

Find the Midpoint of segment AB with the following coordinates A(11, 5) B(-5, 2).

Find the distance of segment AB with the following coordinates A(11, 5) B(-5, 2).

Find the slope of segment GH with coordinates G(3, 5) and H (-1, 1).

Name __________________________________ Distance, Midpoint, and Slope

NR Geometry Chp 1 Wksht #11

Formulas:

Slope Midpoint Distance

12

12

xx

yy

2,

2

1212 yyxx 2

12

2

12 )()( xxyyd

Name __________________________________ Chapter 1

NR Geometry Chp 1 Wksht #12

Know the following definitions and any appropriate symbols (ie segment AB = AB )

Point

Plane Line Line Segment Ray Angle

Congruent

Perpendicular Supplementary Complementary Bisect Bisect

Collinear

Noncollinear Coplanar Noncoplanar Adjacent Vertical Angles

Midpoint

Distance Acute Obtuse Straight Angle Right Angle

Area Supplement Complement

Examples:

1.) Use the diagram on the right to answer the following question:

If m<ABD=79o, m<ABC=3x-4 and m<CBD=7x+3, are <ABC and <CBD congruent

why or why not?

2.) Given the following diagram on below, can you name any perpendicular lines? How do you know?

C

B D

51o 39

o C

R B

S

A

T

D

A

3.) Find the missing side of the triangle, leave your answer in simplest radical form.

4.) Is a triangle with side lengths 3, 4, and 5 a right triangle? Why or why not?

5.) What is the length of segment CD whose endpoints are C(3,5) and D(-2, -3).

6.) What is the midpoint of segment AB with coordinates A(5, -7) and B(12, 4)?

7.) What is the other endpoint of segment EF with endpoint E(4, 6) and midpoint M(6, 2)?

8.) What is the supplement of an angle whose degree measure is 72?

9.) Find all of the missing angles

10.) m<1=4x+3 and m<2=3x+9, if <1 and <2 are supplementary, what is the m<1?

4

8

8x+8

4x-2