ver from the given choices. 1. Which of the following best describes a mathematical system? 1. Axioms, Postulates & Theorems II. Defined Terms 11. Undefined Terms IV. Shapes A. I only 2. What are the undefined terme in C D. I, II, III & IV B. Il only C. I, II & II

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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CHOICE
Direction: Read each item carefully. Encircle the letter of your answer from the given choices.
1. Which of the following best describes a mathematical system?
I. Axioms, Postulates & Theorems
III. Defined Terms
II. Undefined Terms
A. I only
IV. Shapes
2. What are the undefined terms in Geometry?
B. Il only
C. I, II & II
D. I, II, II & IV
A. Point, line, and plane
B. Axiom, postulate, and theorem
C. Bisector, betweenness, and midpoint
D. Parallel, perpendicular, and intersecting lines
3. Which of the following is a subset of a line with two endpoints?
A. Angle
B. Line segment
C. Midpoint
4. Which of the following is accepted to be true without proof?
D. Ray
A. Axiom
B. Definition
C. Postulate
D. Theorem
5. What do you call a statement that has become a rule because it's been proven to be true?
A. Axiom
B. Definition
C. Postulate
D. Theorem
B-
6. In figure 1, what pairs of angles formed by DBAT and CCAP?
C. Midpoint
D. Vertical angles
7. What do you call two angles whose measures have a sum of 180°?
C. Complementary angle
D. Supplementary angle
A. Adjacent angles
B. Linear pair
Figure 1
A. Vertical angle
B. Adjacent angle
8. Which property of equality allows you to conclude that "If x = y and y = z, then x = z" is true?
A. Reflexive property
Substitution property
C. Symmetric property
D. Transitive property
9. Which is an example of the symmetric property of equality?
A. A = A
B. If A=B, then B=A
C. A=B and B=C, then A=C
D. If A=B, B can be used for all A
10. Which statement has to be proved before being accepted?
B. Definition
11. Which refers to a sequence of true facts placed in a logical order?
B. Hypothesis
A. Axiom
C. Theorem
D. Undefined terms
A. Corollary
C. Postulate
D. Proof
12. Which of the following define congruent figures?
A. figures with same area
B. figures with same shape
13. If AHON AVIC, which angle is congruent to zl?
C. figures with same size
D. figures with same size and shape
A. LC
B. ZN
C. 20
D. ZV
14. If AMON = ADAY, then AONM =
A. ΔADY
Β. ΔΑYD
15. What do you call two coplanar lines that do not intersect?
C. ΔDYA
D. ΔΥAD
A. Linear pair
B. Parallel lines
B. Perpendicular lines
C. Segment bisector
16. Suppose the triangles on the given figure are congruent. Which of the following
statements shows the proper congruence?
A. ΔJKL ~ ΔQRP
B. ALKJ = APQR
C. AKLJ = ARQP
D. ΔJLK = ΔΡQR
For numbers 17 - 20, refer to the given figure at the right.
17. What is the measure of XY?
C. 15 cm
A. 6 cm
B. 9cm
D. 24 cm
18. Given: ASER AXZY, what is the measure of ZX?
C. 85°
D. 140°
19. Given: ASER AXZY, what is the measure of ZR?
A. 40°
15 ca
B. 55°
C. 85°
D. 140°
20. If the corresponding sides of two triangles are congruent and all their corresponding angles are congruent, then the
A. 40°
B. 55°
two triangles are
A. Scalene
B. Equilateral
C. Congruent
D. Acute
Transcribed Image Text:CHOICE Direction: Read each item carefully. Encircle the letter of your answer from the given choices. 1. Which of the following best describes a mathematical system? I. Axioms, Postulates & Theorems III. Defined Terms II. Undefined Terms A. I only IV. Shapes 2. What are the undefined terms in Geometry? B. Il only C. I, II & II D. I, II, II & IV A. Point, line, and plane B. Axiom, postulate, and theorem C. Bisector, betweenness, and midpoint D. Parallel, perpendicular, and intersecting lines 3. Which of the following is a subset of a line with two endpoints? A. Angle B. Line segment C. Midpoint 4. Which of the following is accepted to be true without proof? D. Ray A. Axiom B. Definition C. Postulate D. Theorem 5. What do you call a statement that has become a rule because it's been proven to be true? A. Axiom B. Definition C. Postulate D. Theorem B- 6. In figure 1, what pairs of angles formed by DBAT and CCAP? C. Midpoint D. Vertical angles 7. What do you call two angles whose measures have a sum of 180°? C. Complementary angle D. Supplementary angle A. Adjacent angles B. Linear pair Figure 1 A. Vertical angle B. Adjacent angle 8. Which property of equality allows you to conclude that "If x = y and y = z, then x = z" is true? A. Reflexive property Substitution property C. Symmetric property D. Transitive property 9. Which is an example of the symmetric property of equality? A. A = A B. If A=B, then B=A C. A=B and B=C, then A=C D. If A=B, B can be used for all A 10. Which statement has to be proved before being accepted? B. Definition 11. Which refers to a sequence of true facts placed in a logical order? B. Hypothesis A. Axiom C. Theorem D. Undefined terms A. Corollary C. Postulate D. Proof 12. Which of the following define congruent figures? A. figures with same area B. figures with same shape 13. If AHON AVIC, which angle is congruent to zl? C. figures with same size D. figures with same size and shape A. LC B. ZN C. 20 D. ZV 14. If AMON = ADAY, then AONM = A. ΔADY Β. ΔΑYD 15. What do you call two coplanar lines that do not intersect? C. ΔDYA D. ΔΥAD A. Linear pair B. Parallel lines B. Perpendicular lines C. Segment bisector 16. Suppose the triangles on the given figure are congruent. Which of the following statements shows the proper congruence? A. ΔJKL ~ ΔQRP B. ALKJ = APQR C. AKLJ = ARQP D. ΔJLK = ΔΡQR For numbers 17 - 20, refer to the given figure at the right. 17. What is the measure of XY? C. 15 cm A. 6 cm B. 9cm D. 24 cm 18. Given: ASER AXZY, what is the measure of ZX? C. 85° D. 140° 19. Given: ASER AXZY, what is the measure of ZR? A. 40° 15 ca B. 55° C. 85° D. 140° 20. If the corresponding sides of two triangles are congruent and all their corresponding angles are congruent, then the A. 40° B. 55° two triangles are A. Scalene B. Equilateral C. Congruent D. Acute
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