geometry complete intro 06.22.10curriculum.austinisd.org/schoolnetdocs/mathematics/... · theorems...
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Engaging Mathematics: Geometry TEKS-Based Activities
© Region 4 Education Service Center All rights reserved.
Student Name: ________________________________________ Date: ________________
Score Sheet Cut apart the Game Cards. Place the game cards face down in a stack in the middle of the group. The first player takes a game card from the stack and reads the game card out loud for the other players to hear. He/she determines if the statement on the game card is always true, sometimes true, or never true. Once the player has made a decision, the other players may challenge the answer. If a challenge is made, it is up to the challenger to prove that the player is incorrect. If a challenge is made and does disprove the player’s answer, the challenger earns 2 points. If the player cannot be disproven, he or she earns 1 point for a correct answer. Once the play has ended, place the card letter in the appropriate column of the table below. Play continues with the player to the right.
My Points Always True Sometimes True Never True
Communicating About Mathematics Why is the statement “three planes intersect in three lines” sometimes true?
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Points, Lines, and Planes Activity 1
Engaging Mathematics: Geometry TEKS-Based Activities
© Region 4 Education Service Center All rights reserved.
Game Cards Cut along the dotted lines.
Tw
o po
ints
det
erm
ine
a lin
e.
Pos
tula
tes
use
unde
fined
term
s.
A li
ne d
oes
not c
onta
in
exac
tly t
wo
poin
ts.
The
mid
poin
t of
a li
ne
segm
ent
is h
alfw
ay
betw
een
the
endp
oint
s.
A
B
C
D
Thr
ee p
oint
s de
term
ine
a pl
ane.
Tw
o lin
es in
ters
ect i
n tw
o po
ints
.
Tw
o pl
anes
inte
rsec
t in
ex
actly
one
line
.
Spa
ce c
onta
ins
at le
ast
four
non
colli
near
, no
ncop
lana
r po
ints
.
E
F
G
H
Cop
lana
r po
ints
are
on
the
sam
e lin
e.
The
orem
s ca
n be
pro
ven
usin
g un
defin
ed te
rms,
de
fined
term
s,
post
ulat
es,
and
othe
r th
eore
ms.
Col
linea
r po
ints
are
po
ints
on
the
sam
e lin
e.
Con
grue
nt s
egm
ents
ha
ve d
iffer
ent m
easu
res.
I J K
L
Points, Lines, and Planes Activity 1
Engaging Mathematics: Geometry TEKS-Based Activities
© Region 4 Education Service Center All rights reserved.
Game Cards (Continued) Cut along the dotted lines.
Tw
o lin
es th
at a
re p
aral
lel
inte
rsec
t in
a po
int.
A s
egm
ent b
isec
tor
divi
des
a se
gmen
t int
o tw
o eq
ual l
engt
hs.
Tw
o pl
anes
are
par
alle
l.
Tw
o lin
es th
at in
ters
ect
lie in
exa
ctly
one
pla
ne.
M
N
O
P
Coi
ncid
ing
lines
inte
rsec
t in
exa
ctly
one
poi
nt.
Ske
w li
nes
are
copl
anar
.
Tw
o lin
es a
nd a
poi
nt li
e in
the
sam
e pl
ane.
Thr
ee p
lane
s in
ters
ect
in
thre
e lin
es.
Q
R
S
T
Points, Lines, and Planes Activity 1
Points, Lines, and Planes Activity 2
Communicating About Mathematics
In the space provided, answer the question using appropriate vocabulary,
postulates, theorems, pictures or diagrams.
Why is the statement “coplanar points are on the same line” sometimes true?
Why is the statement “three points determine a plane” sometimes true?
Why is the statement “two points determine a line” always true?
Why is the statement “two lines intersect in two points” never true?
Why is the statement “a line does not contain exactly two points” always true?
Why is the statement “collinear points are points on the same line” always true?
Why is the statement “congruent segments have different measures” never true?
Why is the statement “two planes intersect in exactly one line” sometimes true?
Why is the statement “a line does not contain exactly two points” always true?
Why is the statement “space contains at least four noncollinear, noncoplanar
points” always true?
Why is the statement “the midpoint of a line segment is halfway between the
endpoints” always true?
Why is the statement “coinciding lines intersect in exactly one point” never true?
Why is the statement “two lines that are parallel intersect in a point” never true?
Why is the statement “skew lines are coplanar” never true?
Why is the statement “a segment bisector divides a segment into two equal
lengths” always true?
Why is the statement “two lines and a point lie in the same plane” sometimes
true?
Why is the statement “two lines are parallel” sometimes true?
Why is the statement “three planes intersect in three lines” sometimes true?
Why is the statement “two lines that intersect lie in exactly one plane” always
true?
