Transcript Use the diagram below to answer the following questions:

Today – Friday, September 14, 2012
 Sign yellow sheet for Student Handbooks
(1st period only)
 Review for Ch.1.1-1.3 Quiz
 Ch.1.1-1.3 Quiz
 REMINDER: Bring protractors on Monday
CH.1.1-1.3 QUIZ REVIEW PRACTICE
Different ways to name the plane:
plane P, plane ABF or plane ACF
D
Name the rays:
𝐶𝐴, 𝐶𝐵, 𝐶𝐷
B
F
g
A
Name the intersection of line m and
plane P:
point C
m
Name all the lines:
line m or 𝐷𝐶
and
line g or 𝐴𝐵 or 𝐴𝐶
C
P
Name three collinear points and one
point that is not:
A, C, B are collinear
F is not
CH.1.1-1.3 QUIZ REVIEW PRACTICE
SEGMENT ADDITION POSTULATE
Find the length of 𝑯𝑱
27
G
18
H
𝐺𝐻 = 𝐺𝐻 + 𝐻𝐽 Segment Addition Postulate
27 = 18 + 𝐻𝐽 Substitute 27 for GJ and 18 for GH.
9 = 𝐻𝐽
Subtract 18 from each side.
J
CH.1.1-1.3 QUIZ REVIEW PRACTICE
CONGRUENCE
K (2, 4)
J (-3, 4)
𝐽𝐾 = 2 − (−3) = 5
𝐿𝑀 = −2 − 3 = 5
L (1, 3)
𝐽𝐾 = 𝐿𝑀
𝐽𝐾 ≅ 𝐿𝑀
M (1, -2)
Segments JK and LM are
congruent because they have
the same lengths.
CH.1.1-1.3 QUIZ REVIEW PRACTICE
MIDPOINT FOR SEGMENTS
Coordinates of midpoint M of 𝐴𝐵, with endpoints
𝐴(𝑥1 , 𝑦1 ) and B(𝑥2 , 𝑦2 ):
𝑀
𝑥1 +𝑥2 𝑦1 +𝑦2
,
2
2
Example) 𝑬𝑭 has endpoints 𝑬(𝟏, 𝟒) and 𝐅(𝟑, 𝟐). Find the
midpoint M of 𝑬𝑭.
Use the midpoint formula
Substitute points E and F
Simplify
𝑀
𝑥1 +𝑥2 𝑦1 +𝑦2
,
2
2
1+3 4+2
,
2
2
𝑀
𝑀 2,3
CH.1.1-1.3 QUIZ REVIEW PRACTICE
DISTANCE/LENGTH OF SEGMENTS
Distance between 𝐴(𝑥1 , 𝑦1 ) and B(𝑥2 , 𝑦2 ):
𝐴𝐵 =
(𝑥2 − 𝑥1 )2 +(𝑦2 − 𝑦1 )2
Example) 𝑬𝑭 has endpoints 𝑬(𝟏, 𝟒) and 𝐅(𝟑, 𝟐). Find the length
of 𝑬𝑭.
Use the distance formula
Substitute points E and F
Subtract
Square and add
𝐸𝐹
𝐸𝐹
𝐸𝐹
𝐸𝐹
𝐸𝐹
= (𝑥2 − 𝑥1 )2 +(𝑦2 − 𝑦1 )2
= (3 − 1)2 +(2 − 4)2
= (2)2 +(−2)2
= 4+4= 8
= 8
CH.1.1-1.3 QUIZ REVIEW PRACTICE
Name three points that are collinear:
F
A
E
B
C
D
Points A, E, D or Points B, E, F
Points B, C, D
or
CH.1.1-1.3 QUIZ REVIEW PRACTICE
Draw 𝑃𝑄 that intersects 𝐿𝑀 at point R:
M
P
R
Q
L
CH.1.1-1.3 QUIZ REVIEW PRACTICE
Find 𝑃𝑄 given 𝑃𝑇 = 54, Q𝑇 = 42, 𝑄𝑆 =
31 and 𝑅𝑆 = 17
42
31
P
Q
54
R
17
𝑃𝑄 = 54 − 42
𝑃𝑄 = 12
S
T
CH.1.1-1.3 QUIZ REVIEW PRACTICE
Point B is between A and C on 𝐴𝐶. Find
𝐴𝐵 and 𝐵𝐶 and determine if 𝐴𝐵 and 𝐵𝐶
are congruent.
𝐴𝐵 + 𝐵𝐶 = 𝐴𝐶
𝐴𝐵 = 𝑥 + 3
𝐵𝐶 = 2𝑥 + 1
𝐴𝐶 = 10
𝑥 + 3 + 2𝑥 + 1 = 10
3𝑥 + 4 = 10
3𝑥 = 6
𝑥=2
𝐴𝐵 = 𝑥 + 3 = 2 + 3 = 5
𝐵𝐶 = 2𝑥 + 1 = 2 2 + 1 = 5
𝐴𝐵 = 𝐵𝐶 𝑠𝑜 𝐴𝐵 ≅ 𝐵𝐶
CH.1.1-1.3 QUIZ REVIEW PRACTICE
Find the coordinates of the midpoint of
the segment with the given endpoints:
𝐺 3, −7 , 𝐻(−1, 9)
Use the midpoint formula
Substitute points G and H
Add
Simplify
𝑀
𝑀
𝑀
𝑥1 +𝑥2 𝑦1 +𝑦2
,
2
2
3+(−1) (−7)+9
,
2
2
2 2
,
2 2
𝑀 1,1
CH.1.1-1.3 QUIZ REVIEW PRACTICE
Find the length of the segment with the
given endpoints: 𝑊 5, 3 , 𝑍(−10, −5)
Use the distance formula WZ =
(𝑥2 − 𝑥1 )2 +(𝑦2 − 𝑦1 )2
Substitute points E and F WZ =
(−10 − 5)2 +(−5 − 3)2
Subtract
Square and add
Simplify
WZ =
(−15)2 +(−8)2
WZ = 225 + 64 = 289
WZ = 17
PG.9-14 student handbook extra credit
problem:
CHOOSE ALL THAT ANSWERS THAT APPLY:
Absences/tardies will be excused for the following
reasons:
A. Personal illness or injury
B. Medical or dental appointments
C. Participation in activities related to religious
holidays
D. None of the above
When finished with QUIZ work on
geometry worksheet