1. Which of these statements 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 a number of 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.
Chapter3: Triangles
Section3.CT: Test
Problem 18CT: Complete all missing statements and reasons in the following proof. Given: RUVRV and 13 Prove: STU...
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Choose the letter of the correct answer. Write your answer on a separate sheet or
рaper.
1. Which of these statements 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 a number of specific examples
2. Theorem: A triangle has at most one obtuse angle. Marianne is trying to prove the theorem
by contradiction. She began by assuming that in AXYZ, X and ZY are both obtuse. Which
theorem will Marianne use to reach a contradiction?
a. If two angles of a triangle are congruent, the sides opposite the angles are congruent.
Page 1ie
TH& QUARTLH 2 WEEK 9
Transcribed Image Text:Pre-test Choose the letter of the correct answer. Write your answer on a separate sheet or рaper. 1. Which of these statements 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 a number of specific examples 2. Theorem: A triangle has at most one obtuse angle. Marianne is trying to prove the theorem by contradiction. She began by assuming that in AXYZ, X and ZY are both obtuse. Which theorem will Marianne use to reach a contradiction? a. If two angles of a triangle are congruent, the sides opposite the angles are congruent. Page 1ie TH& QUARTLH 2 WEEK 9
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. It is a mnethod of proof that shows contradiction.
a. direct proof
b. formal proof
c. indirect proof
d. two column proof
4. Which of these statements is not true?
a. Any four non-collinear points lie in a distinct plane.
b. A plane contains at least 3 non-collinear points.
c. Any two lines intersect at a point.
d. Through two given points we can draw three lines.
5. 5, 10, 15, 20,
what is the next number?
a. 21
b. 25
с. 30
d. 40
Transcribed Image Text: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. It is a mnethod of proof that shows contradiction. a. direct proof b. formal proof c. indirect proof d. two column proof 4. Which of these statements is not true? a. Any four non-collinear points lie in a distinct plane. b. A plane contains at least 3 non-collinear points. c. Any two lines intersect at a point. d. Through two given points we can draw three lines. 5. 5, 10, 15, 20, what is the next number? a. 21 b. 25 с. 30 d. 40
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