Grade 8-if-then-statement
- 1. If – then Statement determines the inverse, converse, and contrapositive of an if-then statement. M8GE-IIg-1 illustrates the equivalences of : (a) the statement and its contrapositivie; and (b) the converse and inverse of a statement. M8GE-IIg-2
- 2. REVIEW: CHOOSE THE BEST ANSWER. 1.A statement that can be written in if - then form. A. Positive Statement B. Negative Statement C. Conditional Statement D. Converse Statement
- 3. REVIEW: CHOOSE THE BEST ANSWER. 2.A statement formed by exchanging the hypothesis and conclusion of the conditional. A. Positive Statement B. Negative Statement C. Conditional Statement D. Converse Statement
- 4. REVIEW: CHOOSE THE BEST ANSWER. 3.What is hypothesis in the statement “If the forecast is rain, then I will take an umbrella”. A. the forecast is rain B. I will take an umbrella C. both A and B D. not among the choices
- 5. REVIEW: CHOOSE THE BEST ANSWER. 4. Express “Two angles have the same measure are congruent” in conditional statement. A. If two angles don’t have the same measure are then the angles congruent. B. If two angles are congruent, then they don’t have the same measure. C. If two angles have the same measure are then the angles congruent. D. If two angles are congruent, then they have the same measure.
- 6. REVIEW: CHOOSE THE BEST ANSWER. 5.What is the converse of the statement in number 4 “Two angles have the same measure are congruent”. A. If two angles don’t have the same measure are then the angles congruent. B. If two angles are congruent, then they are not same measure. C. have the same measure are then the angles congruent. D. If two angles are congruent, then they have the same measure.
- 7. Answer: 1. C 4. C 2. D 5. D 3. A
- 8. IF – THEN STATEMENT Words Symbols A conditional statement is a statement that can be written in the form if p, then q. p → q The converse is formed by exchanging the hypothesis and conclusion of the conditional. q → p The inverse is formed by negating both the hypothesis and conclusion of the conditional. ~ p → ~q The contrapositive is formed by negating both the hypothesis and conclusion of the converse of the conditional. ~q → ~p
- 9. GIVE THE CONVERSE, INVERSE AND CONTRAPOSITIVE. 1. If m ⦟A is 35, then ⦟A is an acute angle. 2. If two angles are adjacent, then they have a common side. 3. If the degree measure of an angle is between 90 and 180,ThenThe two angles is obtuse.
- 10. 1. If m ⦟A is 35, then ⦟A is an acute angle. • Conditional : If m ⦟A is 35, then ⦟A is an acute angle. • Converse: If ⦟A is an acute angle, then m ⦟A is 35. • Inverse: If m ⦟A is not 35, then ⦟A is not an acute angle. • Contrapositive: If ⦟A is an not acute angle, then m ⦟A is not 35.
- 11. 2. If two angles are adjacent, then they have a common side. •Conditional :If two angles are adjacent, then they have a common side. •Converse: If two angles have a common side then they adjacent. •Inverse: If two angles are not adjacent, then they don’t have a common side. •Contrapositive: If two angles don’t have a common side then they are not adjacent. •
- 12. 3. If the degree measure of an angle is between 90 and 180, Then The two angles is obtuse. •Conditional : If a bird is an ostrich, then it cannot fly. •Converse: If a bird cannot fly, then it is an ostrich •Inverse: If a bird is not an ostrich, then it can fly. •Contrapositive:If a bird can fly, then it is not an ostrich. •
- 13. SUPPLY THE MISSING BOX Words Symbols A conditional statement is a statement that can be written in the form if p, then q. p → q The converse is formed by exchanging the hypothesis and conclusion of the conditional. The inverse is formed by negating both the hypothesis and conclusion of the conditional. ~ p → ~q The contrapositive is formed by negating both the hypothesis and conclusion of the converse of the conditional. ~q → ~p Example If a quadrilateral is a square, then it has four congruent sides.
- 14. SUPPLY THE MISSING BOX Words Symbols A conditional statement is a statement that can be written in the form if p, then q. p → q The converse is formed by exchanging the hypothesis and conclusion of the conditional. q → p The inverse is formed by negating both the hypothesis and conclusion of the conditional. ~ p → ~q The contrapositive is formed by negating both the hypothesis and conclusion of the converse of the conditional. ~q → ~p Example If a quadrilateral has four congruent sides, then it is a square. If a quadrilateral is a square, then it has four congruent sides. If a quadrilateral has no four congruent sides, then it is not a square. If a quadrilateral is not a square, then it has four no congruent sides.
- 15. Write the conditional, converse, inverse and contrapositive of the statement. 1. A convex polygon that has five sides is a pentagon. 2. I’ll buy a new bag if I get my bonus.
- 16. Write the conditional, converse, inverse and contrapositive of the statement. 1. A convex polygon that has five sides is a pentagon. Conditional: If a convex polygon has five sides then it is a pentagon. Converse: If a convex polygon is a pentagon then it t has five sides. Inverse: If a convex polygon has no five sides then it is not a pentagon. Contrapositive: If a convex polygon is not a pentagon then it t has no five sides.
- 17. Write the conditional, converse, inverse and contrapositive of the statement. 2. I’ll buy a new bag if I get my bonus. Conditional: If I’ll get my bonus, then I will buy a new bag. Converse: If I will buy a new bag, then I’ll get my bonus. Inverse: If I’ll will not get my bonus, then I will not buy a new bag. Contrapositive: If I will not buy a new bag, then I’ll will not get my bonus.
- 18. ASSIGNMENT Write the converse, inverse and contrapositive of the statement. 1. If two angles form a linear pair, then they are supplementary. 2. If a parallelogram has a right angle, then it is a rectangle. 3. If an angle measures 90, then it is right angle.