ACTIVITY 2 Directions: Choose the missing statement or reason in the box to complete the two column form. Work patiently. Transitive Property of Equality HP=OE Segment Addition Postulate 1. Given: HP = OE Prove: HO = PE OP=OP HO+OP=OP+PE PROOF: STATEMENT REASON 1. Given 2. HP = HO + OP %D OE = PE + OP Addition Property of Equality Reflexive Property of Equality 4. 5. HO = PE 3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Pls answer activity 2 and assessment 1
ACTIVITY 2
Directions: Choose the missing statement or reason in the box to complete the two-
column form. Work patiently.
P
E
Transitive Property of Equality
HP=OE
Segment Addition Postulate
1. Given: HP = OE
Prove: HO = PE
OP=OP
HO+OP=OP+PE
PROOF:
STATEMENT
REASON
Given
1.
2.
HP = HO + OP
%3D
OE = PE + OP
Addition Property of Equality
3.
Reflexive Property of Equality
4.
5. HO = PE
Transcribed Image Text:ACTIVITY 2 Directions: Choose the missing statement or reason in the box to complete the two- column form. Work patiently. P E Transitive Property of Equality HP=OE Segment Addition Postulate 1. Given: HP = OE Prove: HO = PE OP=OP HO+OP=OP+PE PROOF: STATEMENT REASON Given 1. 2. HP = HO + OP %3D OE = PE + OP Addition Property of Equality 3. Reflexive Property of Equality 4. 5. HO = PE
Assessment 1.
Directions: Read carefully each item and write the letter of the correct answer on the
answer sheet.
1. A Greek mathematician who wrote the core foundation of the axiomatic structure
of geometry in his book entitled The Elements.
A. Archimedes
2. Postulate is also known as
B. Aristotle
C. Euclid
D. Galileo
A. Axiom
B. conjecture
3. How many postulates are there that form the basis for all the theorems of
C. proof
D. theorem
Euclidean Geometry?
A. 2
B. 5
C. 8
D. 10
4. If you extend Lines DE and FG indefinitely towards the direction of the broken
lines, what line does it form?
A. intersecting lines
B. parallel lines
C. perpendicular lines
D. straight line
5. In Euclidean Geometry, the fifth postulate is also called the
A intersecting postulate
B. perpendicular postulate
C. parallel postulate
D. straight line postulate
Transcribed Image Text:Assessment 1. Directions: Read carefully each item and write the letter of the correct answer on the answer sheet. 1. A Greek mathematician who wrote the core foundation of the axiomatic structure of geometry in his book entitled The Elements. A. Archimedes 2. Postulate is also known as B. Aristotle C. Euclid D. Galileo A. Axiom B. conjecture 3. How many postulates are there that form the basis for all the theorems of C. proof D. theorem Euclidean Geometry? A. 2 B. 5 C. 8 D. 10 4. If you extend Lines DE and FG indefinitely towards the direction of the broken lines, what line does it form? A. intersecting lines B. parallel lines C. perpendicular lines D. straight line 5. In Euclidean Geometry, the fifth postulate is also called the A intersecting postulate B. perpendicular postulate C. parallel postulate D. straight line postulate
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