Geometry: Semester Exam (Quiz)
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- 1.Use the law of detachment to draw a conclusion from the two given statements: If two angles are congruent, then they have equal measures. <P and <Q are congruent.
- A.
A) m
- B.
B) m
- C.
C)
- D.
D) m
- 2.17) Which statement is the Law of Syllogism?
- A.
A) if p->q is a true statement and p is true, then q is true.
- B.
B) if p->q is a true statement and q is true, then p is true
- C.
C) If p->q and q->r are true statements, then p->r is a true statement
- D.
D) If p->q and q->r are true statements, then r->p is a true statement
- 3.Use the Law of Syllogism to draw a conclusion from the two given statements:If two lines intersect and form right angles, then the lines are perpendicular.If two lines are perpendicular, then they intersect and form 90 degree angles.
- A.
A) The lines intersect and form 90 degree angles.
- B.
B) if two lines do not intersect and form 90 degree angles, then they do not form right angles.
- C.
C) The lines are perpendicular.
- D.
D) If two lines intersect and form right angles, then they intersect and form 90 degree angles.
- 4.14) Which statement is the Law of Detachment?
- A.
A) If p->q is a true statement and q is true, then p is true
- B.
B) If p->q is a true statement and q is true, then q->p is true
- C.
C) If p->q and q->r are true, then p->r is a true statement.
- D.
D) If p->q is a true statement and p is true, then q is true.
- 5.15) If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. Statement 1: If x=3, the 3x-4=5 Statement 2: x=3
- A.
A) 3x-4=5
- B.
B) x=3
- C.
C) if 3x-4=5, then x=3
- D.
D) not possible
- 6.22) Name the property of equality that justifies this statement:If p=q, then p - r = q - r
- A.
A) reflexive property
- B.
B) Multiplication property
- C.
C) Symmetric property
- D.
D) Subtraction property
- 7.23) Which statement is an example of the Addition Property of Equality?
- A.
A) If p=q then p x s=q x s
- B.
B) If p=q then p+s=q+s
- C.
C) If p=q then p - s=q - s
- D.
D) p=q
- 8.26) Name the property of Congruence that justifies the statement:If XY=WX, then WX=XY
- A.
A) Symmetric Property
- B.
B) Transitive Property
- C.
C) Reflexive Property
- D.
D) None of these
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