For the following problems, fill out as much information as possible. Statement Notation 1. If AABC is an isosceles triangle, then angle A is congruent to angle C. Given: Conclusion: Conclusion: Given: 2. If AB is an angle bisector Given: of ZMAT, then the angles created by the bisector are congruent. Given: Conclusion: Conclusion: Conclusion: 3. If AB is a perpendicular bisector of MN at point B, then MB is congruent to BN. Given: Given: Conclusion: A Picture B C

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
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Question
Statement
If two lines intersect,
creating vertical angles,
then the vertical angles are
congruent.
Given:
Conclusion:
If two lines intersect,
creating vertical angles,
then the vertical angles are
congruent.
Given: Two lines intersect,
creating vertical angles.
Conclusion: The vertical
angles are congruent.
Conclusion:
Conclusion:
Given: Two lines intersect,
creating vertical angles.
For the following problems, fill out as much information as possible.
Statement
Notation
1. If AABC is an isosceles
triangle, then angle A is
congruent to angle C.
Given:
Given:
Notation
Conclusion: ZNMA =
ZRMT
Conclusion:
Given:
2. If AB is an angle bisector Given:
of ZMAT, then the angles
created by the bisector are
congruent.
Given:
Conclusion:
3. If AB is a perpendicular
bisector of MN at point B,
then MB is congruent to BN.
Conclusion:
Given:
N
Conclusion:
N
Picture
A
M
Picture
B
M
R
C
Transcribed Image Text:Statement If two lines intersect, creating vertical angles, then the vertical angles are congruent. Given: Conclusion: If two lines intersect, creating vertical angles, then the vertical angles are congruent. Given: Two lines intersect, creating vertical angles. Conclusion: The vertical angles are congruent. Conclusion: Conclusion: Given: Two lines intersect, creating vertical angles. For the following problems, fill out as much information as possible. Statement Notation 1. If AABC is an isosceles triangle, then angle A is congruent to angle C. Given: Given: Notation Conclusion: ZNMA = ZRMT Conclusion: Given: 2. If AB is an angle bisector Given: of ZMAT, then the angles created by the bisector are congruent. Given: Conclusion: 3. If AB is a perpendicular bisector of MN at point B, then MB is congruent to BN. Conclusion: Given: N Conclusion: N Picture A M Picture B M R C
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Follow-up Question

can you do this one like the one on top? Someone else did it but i dont understand it.

4. If parallel lines are cut by Given:
a transversal, then alternate
Interior angles are
congruent.
Given:
Conclusion:
5. If parallel lines are cut by Given:
a transversal, then.
corresponding angles are
congruent.
Given:
Conclusion:
6.
7.
8.
9.
10.
11.
Conclusion:
12.
Conclusion:
Given:
ZDCA ZBCA
ZB= 2D
Conclusion:
Given:
Conclusion:
Given:
Conclusion:
Given:
Conclusion:
Given:
Conclusion:
Given:
Conclusion:
Given:
Conclusion:
B
D
A
0
J₁
A
A
E
FB
W K
C
74
€
A
Transcribed Image Text:4. If parallel lines are cut by Given: a transversal, then alternate Interior angles are congruent. Given: Conclusion: 5. If parallel lines are cut by Given: a transversal, then. corresponding angles are congruent. Given: Conclusion: 6. 7. 8. 9. 10. 11. Conclusion: 12. Conclusion: Given: ZDCA ZBCA ZB= 2D Conclusion: Given: Conclusion: Given: Conclusion: Given: Conclusion: Given: Conclusion: Given: Conclusion: Given: Conclusion: B D A 0 J₁ A A E FB W K C 74 € A
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what do i put on the given and conclusion of the statement

 

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