A. Determine the converse statement of the given if-then statements.
1. If a person is honest, then he does not steal.
2. If two angles have the same measures, then they are equal.
3. If the sum of two angles is 90°, then they are complementary.
B. Determine the inverse statement of each if-then statement below.
1. If you live near the river, then you need to evacuate during typhoons.
2. If you perform the duck, cover, and hold during an earthquake, then you are protected from falling objects.
3. If you always unplug your home appliances when not in use, then you are safe from electric hazards.
C. Determine the contrapositive statement of the given if-then statements.
1. If 3x = 15, then x = 5.
2. If two angles form a linear pair, then they are supplementary.
3. If a triangle is obtuse, then it has two acute angles.
4. If a triangle is equilateral, then it is equiangular.
5. If the slope of a line is negative, then its graph falls to the right and rises to the left.
1. If a person is honest, then he does not steal.
2. If two angles have the same measures, then they are equal.
3. If the sum of two angles is 90°, then they are complementary.
B. Determine the inverse statement of each if-then statement below.
1. If you live near the river, then you need to evacuate during typhoons.
2. If you perform the duck, cover, and hold during an earthquake, then you are protected from falling objects.
3. If you always unplug your home appliances when not in use, then you are safe from electric hazards.
C. Determine the contrapositive statement of the given if-then statements.
1. If 3x = 15, then x = 5.
2. If two angles form a linear pair, then they are supplementary.
3. If a triangle is obtuse, then it has two acute angles.
4. If a triangle is equilateral, then it is equiangular.
5. If the slope of a line is negative, then its graph falls to the right and rises to the left.
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Answer:
A.
1. If a person does not steal, then he is honest.
2. If two angles are equal, then they have the same measure.
3. If the sum of two angles are complementary, then their sum is 90°
B.
1. If you do not live near the river, then you do not need to evacuate during typhoons.
2. If you do not perform duck,cover and hold during an earthquake, then you are not protected from falling objects.
3. If you do not always unplug your home appliances when not in use, then you are not safe from electric hazards.
C.
1. If it is not x=5, then it is not 3x=15
2. If two angles are not supplementary, then two angles do not form a liner pair.
3. If a triangle does not have two acute angles, then it is not obtuse.
4. If a triangle is not equiangular, then it is not equilateral.
5. If the graph does not fall to the right and rises to the left, then the slope of the line is not negative.
Step-by-step explanation:
Converse statement: If q,then p
Inverse statement: If not p, then q
Contrapositive statement: If not q, then p