chapter 1: foundations for geometry/review assignment...
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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
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