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
Use the law of detachment to find a conclusion…
Conclusion…
Use the law of syllogism to find a conclusion…
Conclusion…
Write the conditional statement and its converse that makes up the biconditional statement.
Biconditional
Conditional
Converse
It is the weekend if and only if
it is Saturday or Sunday.
2 segments have the same
length if and only if they are
congruent.
A parallelogram is a rectangle
if and only if it has four right
angles.
Three points are coplanar if
and only if they lie in the same
plane.
Write the converse statement and its biconditional for the conditional statement.
Biconditional
Conditional
If the angle is a straight
angle, then it measures 180o.
If a triangle contains a right
angle, then it is a right
triangle.
If xy = 0, the x = 0 or y = 0.
If a figure is a quadrilateral,
then it is a parallelogram.
Converse
Determine if the biconditional statements are true or false (show counterexample).
Biconditional Statements
True or False (Provide counterexample)
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.
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.
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