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.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F072c0999-db27-4edf-bcf2-33b4eb37d6fe%2F1ca872f0-ba8c-481f-897a-89050b5e8fcb%2F9eh1w9d_processed.jpeg&w=3840&q=75)
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F072c0999-db27-4edf-bcf2-33b4eb37d6fe%2F1ca872f0-ba8c-481f-897a-89050b5e8fcb%2Fk1mbkq_processed.jpeg&w=3840&q=75)
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