Student
Number
Name:
Date:
Unit 1
Points, Lines, Planes, and Angles
Test Review
The following table summarizes the learning targets for our first unit, specifies the percent of the final assessment by
learning target, and lists items to study in preparation for the upcoming test.
Percent of
Topic
Learning Target
What to Study
Assessment
Points,
20%
Vocabulary
 Identify and model points, lines, and
Lines,
Point
Line
planes
and
Plane
Line
 Identify collinear and coplanar points
Planes
segment
in space
Congruent Betweeness
 Identify intersecting lines and planes in
space
Collinear
Noncollinear
Coplanar
Noncoplanar
Parallel
Skew
Undefined Terms
Distance




Angles








Polygons





Find the distance between two points
Find the midpoint of a segment given
its two end points
Find the endpoint of a segment given
its midpoint and one end point
Solve application problems using
distance
Measure angles using a protractor
Classify angles by their size
Identify congruent angles
Use congruent angles to solve
problems
Identify angle bisectors
Use angle bisectors to solve problems
Identify and use special pairs of angles
Identify perpendicular lines
Identify and name polygons by the
number of sides
Identify and classify polygons as
concave or convex
Identify and classify polygons as
regular or irregular
Find perimeter of polygons
Use perimeter to solve problems
28%
32%
20%
Notes
Homework
Vocabulary
Midpoint
Endpoint
Bisect
Notes
Homework
Vocabulary
Degree
Opposite Rays
Sides
Interior
Acute Angle
Obtuse Angle
Angle Bisector
Vertical
Angles
Linear Pair
Reflex Angle
Notes
Homework
Vocabulary
Polygon
Pentagon
Octagon
Convex
Regular
Perimeter
Notes
Homework
Ray
Angle
Vertex
Exterior
Right Angle
Straight Angle
Adjacent Angles
Complementary
Angles
Supplementary
Angles
Perpendicular
Quadrilateral
Hexagon
Concave
Irregular
n-gon
1)
a) A line is determined by a minimum of how many points?
b) How many lines can be drawn through a single point? Infinitely Many
c) In the last part, must all of the lines be coplanar? Why or why not? Show with a picture. No
d) A plane is determined by a minimum of how many points? 3 non-collinear points
e) Describe the relationship of the minimum number of points used to determine a plane.
f)
noncollinear
A plane is determined by a minimum of how many lines? 2
g) There are two distinct lines in space. List and describe the three different orientations of the lines
with respect to each other.
a. First: Intersecting at one point
b. Second: Parallel = coplanar and non-intersecting
c. Third: Skew = non-coplanar and non-intersecting
h) There are two distinct planes in space. List and describe the two different orientations of the
planes with respect to each other.
a. First: Intersecting-intersection forms a line
b. Second: Parallel – same distance apart
2)
Use the figure at the right to answer the following items:
ASSUME THAT IT IS A TRAPEZOIDAL PRISM
a) Name three collinear points. None
b) Name four coplanar points. Various answers: ADFE, etc.
c) Name a point that is non-coplanar with plane ABEG: C,H,F,D
d) Name the intersection of Segment CD and plan FDCH: CD
e) Name the intersection of Plane ADFE and Plane ABGE: AE
f)
Name the intersection of Line AB and Line BC: Point B
g) Name a plane that is parallel to Plane BCHG: Plane ADFE
h) Name a line that is perpendicular to Line BG. AB, GF, GE
i)
Name a line that is skew to Line DF. AB, EG, CB GH
3)
Directions:
Find the distance between the given points. Set up an equation by letting d be the distance. Show all
steps. Line up the equals signs. Simplify radicals completely. If the distance is an irrational radical, then
simplify the radical completely. Box your answers.
a) A(-1, 5) and B(0, 4)
b) K(-1, -1) and L(6,2)
4)
Directions:
The two endpoints of a segment are given. Find the midpoint of the segment. Write the midpoint
formula and show all steps. Write your answer as an ordered pair. Box your answer.
c) A(-3, 2) and B(3, -2)
d) K(3, 5)) and L(7, -9)
5)
In the figure, Segment MP has a length of 62. Use the figure to find x, MR, and RP. Set up an equation
and show all steps.
x=
MR =
RP =
6)
Point M is the midpoint of segment AC. The coordinates of Point A are given. The coordinates of Point M
are given. Find the coordinates of the endpoint C. Write answer as an ordered pair.
a)
A(1, -6) and M(5, 6)
b)
A(3, 4) and M(1, 2)
7)
Complete each statement with “ALWAYS” if the statement is always true, “SOMETIMES” if the
statement is sometimes true, and “NEVER” if the statement is never true.
a) A right angle ________________________a measure of 90 degrees.
b) Two acute angles are ______________________ complementary.
c) Two obtuse angles are ______________________ supplementary.
d) A straight angle is ______________________ the same as a line.
e) Two right angles are ______________________ complementary.
f) A right angle and an obtuse angle are __________________ supplementary.
g) Two acute angles are ___________________ congruent.
h) Supplementary angles are ____________________ adjacent angles.
i) Complementary angles are _____________________ adjacent angles.
8)
Directions: Measure each angle with a protractor and classify each angle as acute, obtuse, right, or
straight.
a)
b)
Angle Type
Angle Measure
Angle Type
Angle Measure
9)
Directions: Use the figure to answer the following questions.
a) Name a pair of complementary angles
First Angle
Second Angle
b) Name a pair of supplementary angles
First Angle
Second Angle
c)
Name a pair of vertical angles
First Angle
Second Angle
d) Name a pair of adjacent angles
First Angle
Second Angle
e)
Name a linear pair
First Angle
f)
Second Angle
Draw a point on the interior of angle
2. Label this Point Q.
g) Draw a point on the exterior of the
angle 2. Label this Point V.
10)
Use the diagram to analytically find the angle measures. Do not use a protractor.
If Mó1 is 35 degrees, find:
a) Mó5 =_________
b) Mó2 =_________
c) Mó3 =_________
11)
Solve for x. Then find the measure of each angle.
x=
móACD =
móDCF =
móBCE =
12)
a) The perimeter of a regular hexagon is 360.60 meters. Find the length of one side.
b) If the side length in the last part is doubled, what will be the perimeter of the enlarged regular
hexagon?
13)
a) Draw a concave octagon:
b) Draw a convex pentagon:
14)
Find the perimeter and area of each figure.
a)
c) Leave circumference and area in terms of
π.
b)
d) Estimate ciruference and area to the
nearest tenth of a cm.
15)
Quadra Corn went on an endurance run.
She first ran from Town A to Town B.
At Town B, she made a 90◦ turn.
She then ran to Town C.
From Town C, she then returned to Town A by the shortest distance.
She traveled in a straight line by the shortest distance on all segments of her run.
The distance from Town A to Town C is ð290 miles.
The total length of her journey was 24 + ð290 miles.
a) Find the distances between:
 Town A and Town B
 Town B and Town C
 Town C and Town A
Distance from A to B
Distance from B to C
Distance from A to C
b) On the coordinate grid, plot one set of points that could show the locations of Towns A, B, and C.
Complete the following table with the coordinates for each town.
Town
A
B
C
XYCoordinate Coordinate