1. Which of the following best describes deductive reasoning? a. using logic to draw conclusions based on accepted statements b. accepting the meaning of a term without definition c. defining mathematical terms in relation with physical objects d. inferring a general truth by examining several specific examples

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 12E: In Exercise 11 and 12, provide the missing statements and reasons. Given: 12;34 s 2 and 3 are...
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1b. Kindly answer this. Answer only. No solution needed
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1. Which of the following best describes deductive reasoning?
a. using logic to draw conclusions based on accepted statements
b. accepting the meaning of a term without definition
c. defining mathematical terms in relation with physical objects
d. inferring a general truth by examining several specific examples
nemugis s
2. Theorem: A triangle has at most one obtuse angle. Francisco is proving the theorem
above by contradiction. He began by assuming that in AABC, ZA and ZB are both obtuse.
Which theorem will Francisco use to reach a contradiction?
a. If two angles of a triangle are congruent, the sides opposite the angles are congruent.
b. If two supplementary angles are congruent, each angle measures 90°.
c. The largest angle in a triangle is opposite the longest side.
d. The sum of the measures of the angles of a triangle is 180°.
3. If mZR + mZM = 90° then
b. ZR and ZM are right angles.
d. ZR and ZM are supplementary.
a. ZR E ZM.
c. ZR and ZM are complementary.
4. The converse of the statement:" if you are in love then you are inspired", is,
a. If you are not in love, then you are not inspired.
b. If you are inspired, then you are in love.
c. If you are not inspired, then you are not in love.
d. if you are in love, you are not inspired.
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el sug A.b
5. The if-then form of the statement: "Parallel lines never intersect", is:
a. If two lines intersect, then they are parallel.
b. If two lines are parallel, then they never intersect.
c. if two lines are not parallel then they intersect.
d. If two lines intersect, then they are not parallel.
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6. What is the inverse of the statement:" If the number is divisible by 2 and 3, then it is
divisible by 6".
a. If the number is divisible by 6, then it is divisible by 2 and 3.
b. If the number is not divisible by 2 and 3, then it is not divisible by 6.
c. If the number is not divisible by 6, then it is not divisible by 2 and 3.
d. If the number is divisible by 2 and 3, then it is not divisible by 6
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7. What property is illustrated in: If ZA ZB, ZB = ZC then ZA = ZC.
el onsmo.2M
lonsmon M.R
a. Reflexive Property
c. Transitive Property
b. Symmetric Property
d. Addition Property
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8. Using the distributive property, 4 (a + b) = _
a. 4a +b
c. 4a + 4b
b. b+ 4a
d. 4 + a +b
Transcribed Image Text:ard ai ienw baineve ben bnu 1. Which of the following best describes deductive reasoning? a. using logic to draw conclusions based on accepted statements b. accepting the meaning of a term without definition c. defining mathematical terms in relation with physical objects d. inferring a general truth by examining several specific examples nemugis s 2. Theorem: A triangle has at most one obtuse angle. Francisco is proving the theorem above by contradiction. He began by assuming that in AABC, ZA and ZB are both obtuse. Which theorem will Francisco use to reach a contradiction? a. If two angles of a triangle are congruent, the sides opposite the angles are congruent. b. If two supplementary angles are congruent, each angle measures 90°. c. The largest angle in a triangle is opposite the longest side. d. The sum of the measures of the angles of a triangle is 180°. 3. If mZR + mZM = 90° then b. ZR and ZM are right angles. d. ZR and ZM are supplementary. a. ZR E ZM. c. ZR and ZM are complementary. 4. The converse of the statement:" if you are in love then you are inspired", is, a. If you are not in love, then you are not inspired. b. If you are inspired, then you are in love. c. If you are not inspired, then you are not in love. d. if you are in love, you are not inspired. 2sbie uol 2 boup s ar911 el sug A.b 5. The if-then form of the statement: "Parallel lines never intersect", is: a. If two lines intersect, then they are parallel. b. If two lines are parallel, then they never intersect. c. if two lines are not parallel then they intersect. d. If two lines intersect, then they are not parallel. (nion )t 6. What is the inverse of the statement:" If the number is divisible by 2 and 3, then it is divisible by 6". a. If the number is divisible by 6, then it is divisible by 2 and 3. b. If the number is not divisible by 2 and 3, then it is not divisible by 6. c. If the number is not divisible by 6, then it is not divisible by 2 and 3. d. If the number is divisible by 2 and 3, then it is not divisible by 6 5 916 uoy pilodis 7. What property is illustrated in: If ZA ZB, ZB = ZC then ZA = ZC. el onsmo.2M lonsmon M.R a. Reflexive Property c. Transitive Property b. Symmetric Property d. Addition Property eni 9ns oiloriuro.d 16q an nevgcl grnslumile gewuH 8. Using the distributive property, 4 (a + b) = _ a. 4a +b c. 4a + 4b b. b+ 4a d. 4 + a +b
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