1) B is between A and C so AB + BC = AC

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
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2.5 Day 1 Notes: Common Geometric definitions/postulates to use for proofs
I can Identify appropriate postulates and definitions to use in Geometric proof.
Postulates:
Name
What is it? Define it
Example/Equation
Definition of The measures of 2 congruent items
Congruent
are
Definition of A midpoint divides a
Midpoint
into 2
segments.
Segment
Addition
2 smaller
add to equal
the whole
Postulate
Angle
Addition
Postulate
2 smaller adjacent
equal the whole
add to
Definition of An angle bisector divides an angle
Angle
Bisector
into 2
angles.
2 intersecting lines form
opposite angles called vertical
angles.
Vertical
Angles are
Congruent
Definition of
Complementary 2 angles that add to
Angles
degrees.
Definition of
Supplementary 2 angles that add to get
Angles
degrees.
Definition of
Linear Pair
angles that add to get
degrees.
2
Transcribed Image Text:2.5 Day 1 Notes: Common Geometric definitions/postulates to use for proofs I can Identify appropriate postulates and definitions to use in Geometric proof. Postulates: Name What is it? Define it Example/Equation Definition of The measures of 2 congruent items Congruent are Definition of A midpoint divides a Midpoint into 2 segments. Segment Addition 2 smaller add to equal the whole Postulate Angle Addition Postulate 2 smaller adjacent equal the whole add to Definition of An angle bisector divides an angle Angle Bisector into 2 angles. 2 intersecting lines form opposite angles called vertical angles. Vertical Angles are Congruent Definition of Complementary 2 angles that add to Angles degrees. Definition of Supplementary 2 angles that add to get Angles degrees. Definition of Linear Pair angles that add to get degrees. 2
2.5 Day 1 Assignment: Give the reason for each of the
following statements and draw a picture representing the
situation.
1) B is between A and C so AB + BC = AC
2) If AB = DC, AB=DC
3) Angles ZAOC and 2COD are adjacent so MZAOC + MZCOD = mZAOD
4) ZABC is a right angle so mZABC = 90
5) ZAND and ZDNC are a linear pair so MZAND + mZDNC = 180
6) ZDOG and ZCAT are complementary so MZDOG + MZCAT = 90
7) X is the midpoint of AE so AX ± XE
8) ZAMY and ZRMT are vertical angles so ZAMY ZRMT
9) ZBOK and ZREL are supplementary so mZBOK + MZREL = 180
Transcribed Image Text:2.5 Day 1 Assignment: Give the reason for each of the following statements and draw a picture representing the situation. 1) B is between A and C so AB + BC = AC 2) If AB = DC, AB=DC 3) Angles ZAOC and 2COD are adjacent so MZAOC + MZCOD = mZAOD 4) ZABC is a right angle so mZABC = 90 5) ZAND and ZDNC are a linear pair so MZAND + mZDNC = 180 6) ZDOG and ZCAT are complementary so MZDOG + MZCAT = 90 7) X is the midpoint of AE so AX ± XE 8) ZAMY and ZRMT are vertical angles so ZAMY ZRMT 9) ZBOK and ZREL are supplementary so mZBOK + MZREL = 180
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