Question

indirect proof
use the table below to review vocabulary. these vocabulary words will help you complete this page.

word	explanation	example
assumption uh sump shun	something taken to be true, or believed to be true	my assumption is that the weather in canada is cold.
reason (noun) ree zun	a basis for a belief or an action	my reason for believing that the sun will rise tomorrow is that it has always risen before.
reason (verb) ree zun	to think or argue logically; to form conclusions	dirk reasons with his sister to get her to eat her vegetables.
reasoning ree zun ing	way of thinking, analysis	inductive reasoning, deductive reasoning
reasonable ree zuh nuh bul	logical, making sense	after solving a problem, maria checks to see if her answer is reasonable.

circle the correct answer. the first one is done for you.
i reason(assume) that people use umbrellas when it rains.

1. a student multiplies 21 x 43 to get 903. she checks to see if her answer is reasonable/assumption by comparing it to the product of 20 and 40.
2. a father could not find his children’s sandals. he made the reason/assumption that his children wore the sandals to the beach.

use the vocabulary above to fill in the blanks.

1. before he jumped into the pool, a swimmer made the ______ that the water would be warm.
2. a girl’s ______ for believing that all cats purr is that every cat she knows purrs.
3. everybody likes the chef’s cooking. a customer concludes using inductive ______ that she will enjoy the dinner the chef is cooking tonight.

Explanation:

1. Comparing the product 21×43 = 903 to 20×40 is to check if the answer makes logical sense, so "reasonable" is correct.
2. The father has no definite proof but believes his children wore the sandals to the beach, so it's an "assumption".
3. The swimmer believes the water will be warm without certain knowledge, which is an "assumption".
4. The girl believes all cats purr based on her experience of known - purring cats, which is her "reason" for the belief.
5. The customer concludes she will enjoy the dinner based on others' liking of the chef's cooking, which is an "assumption".

Answer:

1. reasonable
2. assumption
3. assumption
4. reason
5. assumption