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HW 1.1-1.3 Quiz Review – Complete all problems for this homework
MATCHING (1 pt each)
A. has no dimension; it is usually represented as a dot
Collinear points
Coplanar points
Line segment
C. a point that divides, or bisects, a segment into two
congruent segments
D. the real number that corresponds to a point on a
line
E. points that lie on the same line
Ray
F. the set of points that two or more geometric
figures have in common
Opposite rays
G. has two dimensions; it is usually represented by a
shape that looks like a floor or a wall, it extends
without end
Intersection
I. non-collinear points that lie on the same plane
Distance
Between
Congruent segments
J. part of a line that consists of a point called an
endpoint and all points on the line that extend in one
direction
K. the absolute value of the difference of the
coordinates of the points
Midpoint
L. has one dimension; it is usually represented by a
straight line with two arrowheads to indicate that it
extends without end in two directions
Segment bisector
M. a point, ray, line, segment, or plane that intersects
a segment at its midpoint
Point
N.
Line
O. line segments that have the same length
Plane
Q. part of a line that consists of two points, called
endpoints, and all points on the line that are in
between
R. rays that have the same endpoint but go in
opposite directions
⃖����⃗
𝐴𝐵
A. line segment AB
����
𝐴𝐵
C. ray AB
≅
E. line AB
�����⃗
𝐴𝐵
B. distance of AB
𝐴𝐵
D. congruent to
(1 pt each)
1.) Name the sets of collinear points.
2.) What is the intersection of line m and line l?
3.) What is the intersection of plane S and plane R?
4.) What is another name for plane R? for plane S?
(1 pt each)
⃖����⃗ and 𝐻𝑅
⃖����⃗.
1.) Name the intersection of 𝑃𝑅
2.) Name the intersection of plane EFG and plane FGS.
3.) Name the intersection of plane PQS and plane HGS.
4.) Are points P, Q, and F collinear? Are they coplanar?
5.) Are points P and G collinear? Are they coplanar?
6.) Name three planes that intersect at point E.
7.) Identify, if any, a point that is coplanar with points P, E, and R.
8.) Identify, if any, three points that are collinear.
Use Segments and Congruence
Find the indicated length. (1 pt each)
1.) Find AB.
2.) Find NP.
����. Use the given information to write an equation in terms of x.
3.) Point S is between R and T on 𝑅𝑇
Solve the equation. Then find RS and ST. (2 pts)
RS = 3x – 16
ST = 4x – 8
RT = 60
Use Midpoint and Distance Formulas
In each diagram, M is the midpoint of the segment. Find the indicated length. (2 pts each)
1.) Find AM.
2.) Find JM.
Find the coordinates of the midpoint of the segment with the given endpoints.(1 pt each)
3.) C(3, 5) and D(7, 5)
4.) G(-4, 4) and H(6, 4)
Use the given endpoint R and midpoint M of ����
𝑹𝑺 to find the coordinates of the other endpoint S.
(1 pt each)
5.) R(3, 0), M(0, 5)
6.) R(6, -2), M(5, 3)
Determine whether the line segments named are congruent.(2 pts each)
7.)
����: A(0, 1), B(4,1)
𝐴𝐵
����
𝐶𝐷: C(1, 2), D(1, 6)
7
8.)
y
7
6
6
5
5
4
4
3
3
2
2
1
-7 -6 -5 -4 -3 -2 -1
-1
9.)
���
𝐽𝐾 : J(-6, -3), K(-6, 2)
����
𝐿𝑀: L(-2, -4), M(-6, -4)
1
x
1
2
3
4
5
6
7
y
x
-7 -6 -5 -4 -3 -2 -1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
-7
-7
1
2
3
4
5
7
6
Which of the following points are farthest from the origin? (3 pts)
7
A (-2, 5)
B (8, 0)
C (3, -3)
y
6
5
4
3
2
1
-7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
x
1
2
3
4
5
6
7