1-1 & 1-3 Mixed Review
Inductive Reasoning
Conditional & Biconditional Statements
Converse, Inverse and Contrapositive
100

C (-7,4)

D (13,-8)

Find the midpoint of CD

(3,-2)

100

What are the next 3 numbers that would appear?

3,7,11,15,...

19, 23, 27

100

What is the difference between a Biconditional statement and a Conditional statement?

What is the difference between a Biconditional statement and a Conditional statement?If you are 18 then you can vote.

100

How do you negate a conditional statement?

What is, switch the hypothesis and conclusion

200

For HK, suppose that J is between H and K. If HJ = 2x+4, JK = 3x+3, and KH= 2. Find the lengths of HJ and JK.

What is HJ= 10 and JK =12?

200

Name a counter example: If a food is a vegetable, then it is a carrot.

Name a counter example: If a food is a vegetable, then it is a carrot.53, 41, 29

200

Write as a conditional statement.

A triangle with all angles congruent is equilateral. 

If a triangle is equilateral then all angles are congruent.

200

If the sun is NOT shining, Then we are NOT inside watching tv. What is the Inverse of this statement?

If the sun is shining, Then we are inside watching tv.

300

For HK, suppose that J is between H and K. If HJ = 2x+4, JK = 3x+3, and KH= 2. Find the lengths of HJ and JK.

What is HJ= 2 and JK =0?

300

What type of statement results from inductive reasoning?

Conditional Statement 

300

Write as a conditional statement.

Alberto can go to the movies if he washes the car.

If Alberto washes the car then he can go to the movies.

300

If my allowance increases, then I can save more money. What is the converse of this statement?

If I can save more money, then my allowance increased/increases.

400

Ray BC intersects angle ABD. Angle ABC=4x+2 Angle DBC= 3x-7. If angle ABD equals 100 degrees, find x.

What is x=15?

400

Write a counterexample. 

All figures with four sides are quadrilaterals.

What is a true statement?

400

Write a biconditional for the following statement. 

Two angles have that the same measure are congruent.

What is two angles have the same measure if and only if they are congruent?

400

If we are not not in Biology, then we are not in Geometry What is the contrapositive?

If we are in geometry, then we are in biology.

500

T (5,-12)

P (11, 12)

Find the Mid-point of TP

(8,0)

500

Which number is a counterexample for the following statement? For all numbers a, 2a+5 < 17.

A.) a=6 

B.) a=0

C.) a=5

D.) a=1

What is a = 6?

500

Write the statement as a Biconditional statement and determine the truth value: 

There is no school on Saturday

There is no school if and only if it is Saturday, False

500

Write a converse, inverse, and contrapositive for.

If an animal is a bird, then it has feathers.

What is ..

Converse: If an animal has feathers then it is a bird.

Inverse: If an animal is not a bird, then it does not have feathers.

Contrapositive: If an animal does not have feathers, then it is not a bird