Download Name Period ______ Honors Geometry: Mixed Practice 2-3/2

Name __________________________________________________
Period ______
Honors Geometry: Mixed Practice 2-3/2-4
Date___________________
Is it inductive or deductive?
Inductive or
Deductive
Inductive
deductive
inductive
dedecutive
Use the law of detachment to find a conclusion…
Conclusion…
The student
passes the class.
Rashid must
study hard.
They intersect
at exactly one
point.
Marla is not
safe in the open.
Galileo High
school celebrates.
2x has the value
of 8
Use the law of syllogism to find a conclusion…
Conclusion…
If an animal is a red
wolfe, then it is
endangered.
NA
If you read a good book,
the your time is well
spent.
If you are studying
botany, then you are
studying science.
If the sun is shining,
then we will go out.
If the stereo is on, then the
neighbors will complain.
Write the conditional statement and its converse that makes up the biconditional statement.
Biconditional
Conditional
Converse
If it is the weekend, the
it is Sat. or Sun.
If it is Sat. or Sun. then
it is the weekend.
2 segments have the same
length if and only if they are
congruent.
If 2 segments have the
same length, then they
are congruent.
If 2 segments are
congruent, then they
have the same length.
A parallelogram is a rectangle
if and only if it has four right
angles.
If a parallelogram is a
rectangle, then it has
four right angles.
If a parallelogram has
four right angles, then it
is a rectangle.
Three points are coplanar if
and only if they lie in the same
plane.
If three points are
coplanar, then they lie in
the same plane.
If three points lie in the
same plane, then they
are coplanar.
It is the weekend if and only if
it is Saturday or Sunday.
Write the converse statement and its biconditional for the conditional statement.
Biconditional
Conditional
An angle is straight if
and only if the measure
is 180o.
If the angle is a straight
angle, then it measures 180o.
A triangle is right if and
only if it contains a
right angle.
Xy = 0 if and only if x
= 0 or y = 0
A figure is a
parallelogram if and
only if it is a
quadrilateral. (false)
If a triangle contains a right
angle, then it is a right
triangle.
Converse
If the angle measures
180o, then it is straight.
If a triangle is right, then
it contains a right angle.
If xy = 0, the x = 0 or y = 0.
If x = 0 or y = 0 then xy
=0
If a figure is a quadrilateral,
then it is a parallelogram.
If a figure is a
parallelogram, then it is a
quadrilateral.
This is false.
Determine if the biconditional statements are true or false (show counterexample).
Biconditional Statements
The angle is obtuse if and only if the angle
measures 133o.
It is a fish if and only if it lives in the water.
True or False (Provide counterexample)
False… If the angle is obtuse , then it
could be 100o.
False… plants and frogs live in water.
True… Yeah!
A point divides a segment into two equal
parts if and only if it is its midpoint.
Kayla is a plays soccer if and only if she is an
athlete.
False… she could play in the back yard
for fun.
Rewrite these definitions as biconditional statements.
Definitions
Angle bisectors divide angles into two equal
angles.
Collinear points lie on the same plane.
Freshmen are 9th graders.
Complementary angles have a sum of 90o.
Biconditional Statements
It is considered to be an angle bisector
if and only if it divides the angle into
two equal parts.
NA
A student is considered to be a
Freshman if and only if they are in 9th
grade.
Angles are complementary if and only
if their sum is 90o.