Geometry Chapter 1 Summary
NAME _______________________
DATE ____________B__________
Section 1.1: Identify Points, Lines, and Planes:
1. Point
 How do we label a point?
 How many dimensions does a point have?
2. Line
 What is the symbol for a line?
 How do you label a line?
 How many lines can you have between 2 points?
 How many dimensions does a line have?
3. Plane
 How do you label a plane?
 Name both planes on the diagram:
e
 How many dimensions does a plane have?
 Give an example of a plane you see in the classroom:
4. Collinear points
 When are 3 points collinear?
 Give 2 examples of collinear points on the diagram:
5. Coplanar points
 When are 3 points coplanar?
 Name 3 coplanar points on the diagram: ________ _________
6. Line segments
 What is the difference between a line segment and a line?
 How do you label a line segment?
 Name 2 line segments on the diagram: ________ _________
7. Endpoints
 Define an endpoint:
 Does a line have an endpoint?
 How many endpoints are in a line segment?
8. Ray
 Define a ray:
 Name 2 rays on the diagram: _________ __________
9. Opposite rays
 Name 2 opposite rays on the diagram: _________ __________
10. Intersection
What is the intersection of 2 lines? ________ Give an example on the diagram: _________
What is the intersection of 2 planes? ________ Give an example on the diagram: _________
Section 1.2: Use Segments and Congruence
1. What is the difference between the terms equality and congruence?
2. What is the length of the segment?
3. Find the length of NQ
4. Find the length of each segment. Show equation and work.
AB 
BC 
CD 
AC 
AD  109
AB  3 x  16
BC  2 x  6
CD  2 x  7
6. In the diagram, JM = MK,
Find JM, MK, and JK
5. In the diagram, AB =23, BC =19x-1,
AC =22x +4. Find BC and AC .
Section 1.3: Measure and Classify Angles
1. What is an angle made up of?
2. How do you name an angle?
Find 2 other ways to name angle D in the diagram:
_______, _______, _______
2. What symbol do we use for the measure of an angle?
3. What is an obtuse angle?
Name an obtuse angle on the diagram: _________
4. What is an acute angle?
Name an acute angle on the diagram: _________
5. What is a right angle?
Name a right angle on the diagram: _________
6. What is a straight angle?
Name a straight angle on the diagram: _________
7. Classify the angle as acute, obtuse, right, or
straight. (m  DFB = 90o)
a) AFB
b) BFD
c) AFC
d) AFE
In questions 9-11, use the diagram to
solve for the missing angle measures.
9. m1  _______
If m2  1150 , then:
10. m3  _______
11. m4  ______
12. Given mADC =118°, find ADB.

14. KM is the angle bisector of JKL .
If mJKL  790 , find the following:
13. Given mEHG = 77, find mFHG.

15. BD bisects ABC . Find the value of x.
Show equation and work.
x =_______
mLKM  ________, mJKM  ________
Section 1.4: Angle Pair Relationships
Define the following terms.
1. Complementary angles 2. Supplementary angles
3.Linear pair 4. Vertical angles
Use the diagram below. Tell whether the angles are vertical angles, a linear pair, or neither
5. 1 and 3 _________________________
6. 1 and 2 _________________________
7. 1 and 7 _________________________
8. 1 and 2 are complementary.
Solve for x. Then find m 1 and m 2 .
Show equation and work.
m1  x 10 m2  2 x  40
9. Find the values of the variables.
Show equation and work.
x  ________
y  ________
x  __________
m1  _______
m2  _______
10.Find the value of x. Show equation
and work.
11.
mYWZ = __?__
x  ________
Section 1.5: Midpoint and Distance Formulas
1. Write the Midpoint formula: M =
2. Write in your own words what the midpoint is. Give an example of how you could use it when
planning a trip that will take 6 hours by car.
3. Determine the midpoint between two points: A(1, 1) and B( -3, 9)
4. Given the midpoint, M(6, -2) on a segment AB and one endpoint, A(3, 4), find the other endpoint B.
5. Write the Distance formula: D =
6. What theorem is the distance formula derived from?
7. Using the formula above, find the distance between the following 2 points: A(-4, 6) and B(-2, -4)?
8. Given a line segment AB, where the distance between A and B is 6 and the midpoint is M(3, 2). How
many possible solutions could you have for the endpoints A and B? Find one possible solution.
9. Find the length of the segment. Round to the
nearest tenth of a unit.
JK = _______________
10. The endpoints of two segments are given.
Find each segment length.
Tell whether the segments are congruent.
AB : A (5, 4), B (0, 4)
CD : C (-4, -3), D (-1, 1)
Answer Key
38
26, 26, 52
(-1, 5)
3.2
(9, -8)
113, 136
42
5, 5, yes
straight
11
81
Pythagorean
theorem
10
7.5
33.5
(3, -1) and (3, 5)
(one possible solution)
right
10.2
29
acute
65
obtuse
vertical
80
65
20
8.5
56.5
80
39.5, 39.5
14
Linear pair
neither
7
21
Questions that are not on the answer key:
Section 1.1: 1 – 10
Section 1.2: 1
Section 1.3: 1 – 7
Section 1.4: 1 – 4
Section 1.5: 1, 2, and 5
115