# Geometry: Semester Exam (Quiz)

8 Questions | Total Attempts: 192  Settings  • 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

Related Topics Back to top