DATE:
DIRECTION. Transform the following statements into if-then form. Then, underline the hypothesis once and the
conclusion twice.
PARENT'S SIGNATUR
1. A rectangle is a polygon.
If-then Statement:
2. Congruent segments have the same length.
If-then Statement:
3. An equilateral triangle has three congruent sides.
If-then Statement:
4. Aprime number has factors of 1 and itself.
If-then Statement:
5. Ilonggos are beautiful.
if-then statement:
pa TOLONG na man po
Answers & Comments
Answer:
If-Then Statements:
Hypothesis and Conclusions
Converting statement to if-then form and identifying the hypothesis and the conclusion.
1. If they obey rules and regulations, then they are good citizens.
H: They obey rules and regulations.
C: They are good citizens.
2. If they are Filipinos, then they are God-fearing people.
H: They are Filipinos.
C: They are God-fearing people.
3. If the sum of the measures is 90 degrees, then they are complementary angles.
H: The sum of the measures is 90 degrees.
C: They are complementary angles.
4. If the opposite sides are parallel, then it is a rectangle.
H: The opposite sides are parallel.
C: It is a rectangle.
5. If a polygon has three sides, then it is a triangle.
H: A polygon has three sides.
C: It is a triangle.
6. If it has four sides, then it is a quadrilateral.
H: It has four sides.
C: It is a quadrilateral.
7. If there are two determined points, then it is a line.
H: There are two determined points.
C: It is a line.
8. If two lines intersect, then the intersection is a point.
H: Two lines intersect.
C: The intersection is a point.
9. If there are two intersecting lines, then they lie in one plane.
H: There are two intersecting lines.
C: They lie in one plane.
10. If the sum of angles is 180°, then it is forming a linear pair.
H: The sum of angles is 180°.
C: It is forming a linear pair.
If-Then Statements or Conditional Statements
Hypotheses followed by a conclusion is called an If-then statement or a conditional statement. It is a combination of two statements by the word if and then.
Hypothesis
Hypotheses is the singular form of hypothesis. The hypothesis of a conditional statement is the phrase immediately following the word if.
Conclusion
The conclusion of a conditional statement is the phrase immediately following the word then.
A conditional statement is symbolized by p → q, in which p is a hypothesis and q is a conclusion. → is the symbol used as the connector in a conditional statement. p → q is read as if p then q or p implies q.
Remember that in identifying the hypothesis and conclusion, the word if is not part of the hypothesis and the word then is not part of the conclusion.
Step-by-step explanation:
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