Statements
Write the conditional of the statement:
Chihuahuas are cute
If it is a Chihuahua, then it is cute.
Write the conditional of the statement:
Complementary Angles have a sum of 90
If angles are complementary
then their sum is 90.
Write a single conditional statement using the Law of Syllogism.
If your tire is flat, you will need to call for a get a tow. If you need to call for a tow, you will call AAA.
If your tire is flat, you will call AAA.
Use the Law of Detachment to make a conjecture:
If your tire is flat, you will call AAA.
Lisa's tire is flat.
Conjecture
conjecture:
Lisa will call AAA.
if a = b
then 5a = 5b
Multiplicative property of equaility
Write the converse of the statement:
Chihuahuas are cute.
if it is cute, then it is a Chihuahua.
Write a Converse
Complementary Angles have a sum of 90
If the sum of the two angles is 90, then they are complementary angles.
Write a single conditional statement using the Law of Syllogism.
If you do not eat all of your dinner, then you can not have dessert. If you can not have dessert, then you can't have ice cream.
If you do not eat all of your dinner, then you can't have ice cream.
use the Law of Detachment to make a conjecture
If you do not eat all of your dinner, then you can't have ice cream.
Barney did not eat all of his dinner.
conjecture
Barney can not have ice cream.
If a = b
then a + 5 = b + 5
Addition Property of Equality
Write the Inverse statement:
Chihuahuas are cute.
if it is not a Chihuahua, then it is not cute.
Write an Inverse statement
Complementary Angles have a sum of 90
If two angles are not complementary,
then their sum is not 90.
Write a single conditional statement using the Law of Syllogism.
If you wake up late, you will miss your bus.
If you miss the bus, you will be late for school.
If you wake up late, you will be late for school.
Use the law of Detachment to make a conjecture
If you wake up late, you will be late for school.
Spencer woke up late.
conjecture
conjecture
Spencer will be late to school.
If a = b
then
Division Property of Equality
Write the contrapositive:
Chihuahuas are cute.
If it is not cute, then it is not a Chihuahua.
Write a Contrapositive statement:
Complementary Angles have a sum of 90
If two angles do not have a sum of 90,
then they are not complementary.
Write a conditional statement using the Law of Syllogism.
If a polygon has three sides, then it is a triangle.
If a polygon is a triangle, then it is convex.
If a polygon has three sides,
then it is convex.
Use the law of detachment to make a conjecture
If a polygon is a triangle, then it is convex.
Polygon ABC is a triangle.
conjecture
conjecture
Triangle ABC is convex.
If a = b
then b = a
Symmetric Property
Write the Counter example
to the Converse statement
Chihuahuas are cute.
Converse: If it is cute, then it is a Chihuahua:
Counter example.....anything that is cute, but not a Chihuahua.
Write a Biconditional
Complementary Angles have a sum of 90
Angles are complementary
IF AND ONLY IF
they have a sum of 90
if two angles are a linear pair, then they are supplementary. If two angles are supplementary, then their sum is 180.
If two angles are a linear pair, then their sum is 180.
Use the Law of Detachment to write a conjecture
If two angles are a linear pair, then their sum is 180.
<A and < B are a linear pair.
conjecture
conjecture
The m <A + m <B = 180.
If a = b, and b = c, then a = c
Transitive Property