1. Which is TRUE about a set of Vertical Angles shown in the figure 1? * Figure 1 Vertical angles are always congruent Roth pair of uortionl anglor aluınun cume al angles
1. Which is TRUE about a set of Vertical Angles shown in the figure 1? * Figure 1 Vertical angles are always congruent Roth pair of uortionl anglor aluınun cume al angles
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
Transcribed Image Text:Statements
9. For numbers 9-12, refer to figure
Reasons
ANH sosceles
4.
Gven
Definition of an iisosceles triangle
number 4. GIVEN: AS is an angle
Os the midpoint of TH
5.
bisector of 2CAN. If 21= 50° and 22 =
Definition of middpoint
hosceles triangle theorem
7.
(3x+5)*. What is the value of x? *
AINO AHNO
4NO LHNO
A Given
D. SAS postulate
F. S5S postulate
FIGURE 3
Firure a
15
30
45
60
Figure 3
10.What is the measure
of 22?
11.What is the measure
of 23?
12.What is the measure
of 24?
Use figure 3 in answering numbers 4 to
8. supply the reason for each
statement or vice versa. Choose your
answer from the box that follows. *
Transcribed Image Text:For numbers 13-15, refer to figure number 5
1. Which is TRUE about a set of Vertical
Angles shown in the figure 1? *
Figure 1
Vertical angles are always congruent
Figure 5
Both pair of vertical angles always sums
360°
Adjacent angles are supplementary
13. Suppose D is the midpoint of AC,
AD = 9x and DC = x+4. Find AC. *
All of the above
6.5
9.
2. In figure 2, what property justifies
the statement "if A LMN = A STU, and
9.5
A STU = AXYZ, then A LMN = AXYZ" *
12
Figure 2
14. Suppose BD is an angle bisector of
ZABC. If MZABD = 30°, what is the
Reflexive Property
mzA?*
O Symmetric Property
10
Transitive Property
30
СРСТС
50
60
3. If A LMN = AXYZ, then LM =
?*
15. Suppose BD is an angle bisector of
ZABC. If MZABD = x°, and mzCBD = 2x
- 30, then x =
Figure 2
10
MN
30
ST
50
SU
60
LN
O O O O
O O O O
O O
O O
O O O O
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