Geometry
1
True or False.
If a conditional is true and its hypothesis is true, then its conclusion is true.
True
O False
O True
O False
2.
True or False.
The Law of Syllogism allows you to state a conclusion even though the conditional statements are not true.
True
False
O True
O False
3.
Select the conclusion that follows from the set of statements below.
Squares are polygons.
Polygons are closed figures.
O a
Ob
О с
Closed figures are polygons.
Closed figures are squares.
Squares are closed figures.
O a
Oь
Oc
4.
Select the conclusion that follows from the set of statements below.
All squares are rectangles.
Rectangles have four right angles.
O a
Ob
All squares have four right angles.
Figures with four right angles are squares.
Rectangles are squares.
5.
Use the Law of Syllogism to draw a conclusion.
Triangles are three-sided figures.
Three sided figures have an angle sum of 180 degrees.
Triangles have an angle sum of 180 degrees.
0 а
Ob
All triangles have equal sides.
Oc
All figures have an angle sum of 180 degrees.
о а
Ob
oc
6.
Use the Law of Detachment to draw a conclusion.
If a person goes to the zoo, he or she will see animals. Karla goes to the zoo.
Karla will see animals.
O a
Ob
Oc
Karla doesn’t want to go to the zoo.
Karla wants to go to the zoo.
Od
Karla wants to see animals.
7
Use the Law of Syllogism to draw a conclusion.
If two lines intersect, then they intersect at a point.
If two lines are not parallel, then they intersect.
a
If two lines intersect, then they intersect.
If two lines are not parallel, then they intersect at a point.
Ob
Oc
Od
If two lines intersect, then they intersect at a point.
If two lines are not parallel, then they intersect.
8.
Use the Law of Detachment to draw a conclusion.
If an angle is obtuse, then it is not acute.
Angle XYZ is not obtuse.
O a
Not possible.
Angle XYZ is an acute angle.
Oь
oc
Angle XYZ is a straight angle.
Angle XYZ is a right angle.
Od
O a
Ob
Ос
Od
9.
Use the Law of Detachment to draw a conclusion.
If a person lives in Omaha, then he or she lives in Nebraska.
Robin lives in Omaha.
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